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Finance and Economics Discussion Series: 2009-40 Screen Reader version

Bayesian Analysis of Stochastic Volatility Models with Levy Jumps: Application to Risk Analysis

by
Pawel J. Szerszen

Data for Figures




Figure 8a: Ljung-Box p-values of generalized residuals model PJ

lagsLjung-Box p-value
10.011238
20.017651
30.0047055
40.0031943
50.0011765
60.0020886
70.0015236
80.0030111
90.0044464
100.003322
110.0057963
120.00054337
130.00029211
140.0004536
150.00055805
160.0008414
170.0013947
180.0015309
190.0024265
200.0036945
210.0039928
220.005022
230.0062725
240.0089824
250.0057654
260.005156
270.0054229
280.0038566
290.0044278
300.0059138
310.0077166
320.0064619
330.0059029
340.0030303
350.0036496
360.0047045
370.005462
380.0073237
390.0067002
400.0034021
410.0028937
420.00361
430.004597
440.0041918
450.00517
460.0068102
470.0088721
480.010891
490.012927
500.010633
510.0072811
520.0085021
530.0047156
540.0058665
550.0054795
560.0069009
570.0087659
580.010678
590.013353
600.011817
610.01217
620.0068728
630.0083031
640.0064698
650.0081223
660.0086278
670.010737
680.010882
690.013079
700.014625
710.012671
720.013961
730.016197
740.01472
750.017513
760.021142
770.021917
780.024867
790.028995
800.034056
810.039032
820.041439
830.044947
840.045996
850.052444
860.059107
870.04236
880.046107
890.053494
900.061773
910.046152
920.052851
930.056024
940.038789
950.036988
960.042468
970.049065
980.03877
990.036877
1000.035428
1010.032907
1020.03712
1030.041855
1040.047081
1050.03261
1060.022792
1070.026587
1080.030751
1090.035116
1100.039961
1110.038989
1120.024152
1130.026928
1140.025438
1150.026603
1160.014752
1170.016432
1180.01161
1190.013456
1200.015614
1210.017531
1220.020132
1230.023237
1240.0268
1250.029381
1260.028373
1270.032091
1280.036243
1290.031828
1300.03003
1310.030823
1320.035187
1330.032517
1340.036158
1350.037172
1360.038907
1370.043823
1380.03315
1390.036414
1400.035275
1410.040006
1420.044336
1430.039425
1440.042677
1450.047189
1460.052708
1470.041412
1480.044891
1490.050449
1500.056218
1510.05771
1520.056577
1530.062955
1540.06643
1550.071554
1560.079405
1570.036077
1580.036416
1590.040979
1600.040231
1610.044775
1620.050113
1630.040231
1640.043884
1650.047368
1660.05092
1670.056542
1680.060033
1690.060418
1700.065856
1710.072503
1720.080031
1730.078042
1740.079073
1750.086986
1760.051152
1770.047866
1780.0505
1790.014472
1800.01644
1810.018336
1820.02046
1830.023054
1840.025724
1850.028815
1860.030381
1870.029809
1880.030065
1890.019234
1900.021309
1910.023835
1920.024707
1930.026893
1940.028286
1950.03152
1960.035082
1970.037868
1980.041069
1990.043804
2000.046119
2010.050984
2020.054538
2030.058496
2040.060826
2050.065191
2060.071188
2070.077169
2080.077638
2090.05105
2100.049485
2110.052316
2120.05094
2130.047519
2140.051088
2150.034809
2160.036402
2170.033696
2180.032988
2190.033259
2200.035893
2210.039345
2220.043408
2230.047439
2240.048341
2250.052731
2260.046414
2270.02772
2280.02949
2290.031509
2300.030181
2310.018561
2320.020562
2330.021127
2340.022645
2350.02449
2360.026935
2370.024408
2380.02706
2390.029963
2400.033115
2410.030934
2420.031493
2430.034227
2440.034631
2450.027675
2460.030591
2470.025794
2480.02511
2490.02302
2500.025235
2510.027756
2520.022844
2530.021486
2540.023635
2550.021609
2560.023851
2570.023397
2580.025561
2590.02464
2600.025523
2610.027617
2620.030215
2630.032551
2640.020248
2650.018174
2660.018528
2670.019999
2680.021388
2690.022586
2700.024593
2710.02655
2720.029198
2730.029665
2740.032574
2750.035423
2760.038617
2770.042033
2780.042372
2790.046216
2800.048766
2810.050757
2820.054382
2830.045066
2840.049055
2850.050769
2860.054382
2870.058736
2880.063124
2890.068329
2900.064446
2910.069606
2920.061161
2930.065705
2940.071018
2950.074488
2960.073829
2970.077727
2980.081335
2990.086933
3000.087231
3010.093757
3020.098382
3030.10531
3040.097571
3050.10242
3060.10726
3070.10616
3080.10038
3090.097679
3100.1019
3110.10896
3120.11239
3130.11646
3140.10455
3150.081563
3160.085928
3170.075997
3180.074312
3190.0717
3200.060864
3210.061502
3220.054765
3230.039427
3240.033754
3250.036053
3260.036659
3270.035524
3280.038462
3290.041016
3300.044122
3310.046543
3320.044704
3330.038988
3340.042269
3350.040508
3360.037804
3370.038906
3380.039443
3390.030361
3400.022708
3410.024745
3420.026039
3430.025419
3440.027158
3450.029094
3460.030985
3470.033452
3480.032518
3490.034977
3500.037733
3510.039404
3520.042339
3530.041167
3540.034914
3550.032167
3560.034879
3570.037459
3580.037203
3590.034808
3600.033933
3610.035394
3620.035045
3630.037704
3640.040251
3650.041127
3660.039333
3670.039646
3680.029667
3690.030289
3700.031148
3710.033259
3720.013627
3730.013575
3740.014862
3750.016127
3760.016972
3770.013919
3780.011438
3790.012172
3800.01304
3810.014258
3820.015588
3830.016992
3840.017639
3850.015741
3860.01681
3870.017247
3880.0095374
3890.0099644
3900.010262
3910.010219
3920.010663
3930.0072635
3940.0068888
3950.0045853
3960.0050684
3970.0055548
3980.0061115
3990.0057791
4000.0063669
4010.0070077
4020.0077063
4030.0072885
4040.005579
4050.0052538
4060.0055761
4070.0060054
4080.0057824
4090.0063626
4100.0063536
4110.0069198
4120.0075311
4130.0081467
4140.0072402
4150.0075831
4160.0082902
4170.0080717
4180.0070539
4190.0059904
4200.0065448
4210.007157
4220.0066576
4230.0072797
4240.0074145
4250.0074648
4260.0078111
4270.0068719
4280.0068909
4290.0071887
4300.0069475
4310.0071999
4320.0078591
4330.0086033
4340.0079773
4350.0085633
4360.0086597
4370.0090371
4380.0097251
4390.010611
4400.0091083
4410.0095116
4420.0075213
4430.0079894
4440.0086431
4450.0091933
4460.010028
4470.010664
4480.011461
4490.0098234
4500.010667
4510.011058
4520.011799
4530.0086041
4540.0087636
4550.009453
4560.010186
4570.0096824
4580.0085061
4590.0088306
4600.0069442
4610.0075569
4620.008191
4630.0087509
4640.0083259
4650.0089378
4660.0097268
4670.0093534
4680.0092426
4690.0081859
4700.008847
4710.009616
4720.0063716
4730.006911
4740.0067376
4750.0073438
4760.0077575
4770.008368
4780.0049644
4790.0030957
4800.0022606
4810.0023965
4820.0024851
4830.0026975
4840.0026866
4850.0028902
4860.0027748
4870.0030425
4880.0033322
4890.0033744
4900.0035529
4910.0038532
4920.0041593
4930.0045541
4940.0049795
4950.0054217
4960.0056497
4970.005842
4980.0063352
4990.0067775
5000.0073599
5010.0054639
5020.005728
5030.0055416
5040.0060289
5050.0049111
5060.0051998
5070.0055189
5080.0059174
5090.005455
5100.0044669
5110.0033731
5120.0035896
5130.0038767
5140.0042412
5150.0045043
5160.0048
5170.0048813
5180.0040695
5190.0044173
5200.0046366
5210.0040926
5220.0033092
5230.0020568
5240.0018944
5250.0018048
5260.001984
5270.0021608
5280.0022717
5290.0022276
5300.002278
5310.0023118
5320.0024703
5330.002672
5340.002299
5350.0016572
5360.0014914
5370.0016416
5380.001716
5390.0016226
5400.0017349
5410.0014861
5420.001352
5430.0014655
5440.0014077
5450.0015434
5460.0014965
5470.0014637
5480.0013989
5490.0013245
5500.0014578
5510.0015624
5520.0015817
5530.0017231
5540.0013405
5550.0013522
5560.0014664
5570.0015395
5580.001679
5590.0018325
5600.0019783
5610.0020734
5620.0016742
5630.0016402
5640.0017779
5650.0018564
5660.0019165
5670.0021001
5680.0021795
5690.0020401
5700.0021337
5710.0020643
5720.0022398
5730.0020684
5740.0018759
5750.0019234
5760.0021057
5770.0022945
5780.0024684
5790.0026897
5800.0029216
5810.0030919
5820.0031806
5830.0034347
5840.0037412
5850.0040712
5860.0040708
5870.004278
5880.0044801
5890.004776
5900.0050085
5910.0046714
5920.0050687
5930.0053209
5940.0038157
5950.0041429
5960.0044874
5970.0048646
5980.005278
5990.0056478
6000.0060921
6010.0064747
6020.0069622
6030.0074588
6040.0067891
6050.0073407
6060.0077418
6070.0080926
6080.0080565
6090.0067578
6100.0072597
6110.0057512
6120.0061539
6130.0057834
6140.0040108
6150.0042296
6160.0042083
6170.0045061
6180.0047584
6190.0046831
6200.0047359
6210.0049802
6220.005387
6230.0058279
6240.0061569
6250.0061793
6260.0065573
6270.0068052
6280.0071522
6290.0073757
6300.0066617
6310.006942
6320.0074753
6330.0080145
6340.0076932
6350.0075728
6360.0078334
6370.005436
6380.0058486
6390.0053967
6400.005378
6410.0057629
6420.0058107
6430.0061821
6440.0066703
6450.0071915
6460.0076969
6470.0069067
6480.0053087
6490.0057372
6500.0060983
6510.0065106
6520.0067468
6530.0047042
6540.0047625
6550.0046887
6560.0050603
6570.0054603
6580.0032314
6590.0021646
6600.0020699
6610.0019011
6620.0020579
6630.0022116
6640.0021281
6650.0023124
6660.0025113
6670.0027064
6680.0029298
6690.0030955
6700.0032513
6710.0034686
6720.0036981
6730.003976
6740.0042881
6750.0033922
6760.0034733
6770.0037603
6780.0025815
6790.00256
6800.0024413
6810.0023752
6820.0025747
6830.002606
6840.002453
6850.0023772
6860.0024836
6870.0012876
6880.0013756
6890.0012883
6900.00067963
6910.00074346
6920.0008113
6930.00085181
6940.00092075
6950.0010052
6960.0010971
6970.0011453
6980.0012002
6990.0011427
7000.0012346
7010.0012223
7020.0013312
7030.0014476
7040.0015311
7050.0015091
7060.00159
7070.0016784
7080.0018196
7090.0019715
7100.0019818
7110.0021459
7120.0022689
7130.002434
7140.0026075
7150.0028165
7160.0029888
7170.0025658
7180.0023794
7190.0011398
7200.0010235
7210.0011153
7220.0010917
7230.0011846
7240.0012519
7250.001362
7260.0013538
7270.0014436
7280.0015585
7290.0016926
7300.0016668
7310.0018072
7320.0018376
7330.001974
7340.0018834
7350.0019579
7360.002023
7370.0019636
7380.0014931
7390.0016183
7400.0017091
7410.0018527
7420.001827
7430.0019729
7440.0020463
7450.0022141
7460.0020816
7470.002165
7480.0022615
7490.0024309
7500.0020735
7510.0022443
7520.0021584
7530.0023135
7540.0024139
7550.0024388
7560.0025697
7570.002763
7580.0029753
7590.0031123
7600.0032934
7610.0033506
7620.0036025
7630.0026784
7640.0028579
7650.0029447
7660.0031773
7670.0034256
7680.0036879
7690.0039635
7700.0042502
7710.0045697
7720.0048199
7730.0050827
7740.0048005
7750.0050473
7760.0053731
7770.0040597
7780.0040954
7790.0043789
7800.0043581
7810.0044632
7820.0047523
7830.0049397
7840.0053044
7850.0039684
7860.0038711
7870.0041502
7880.0041146
7890.0044217
7900.0046266
7910.0043291
7920.0044391
7930.0047067
7940.0043539
7950.0039383
7960.0041379
7970.0043694
7980.004691
7990.0049633
8000.0048198
8010.0050073
8020.0042066
8030.004517
8040.0047807
8050.0049962
8060.0049888
8070.0049646
8080.005208
8090.0034861
8100.0037309
8110.00397
8120.0039067
8130.0038399
8140.0032897
8150.0034019
8160.0032347
8170.0033688
8180.0036063
8190.0035118
8200.0037031
8210.0039739
8220.004156
8230.0040995
8240.004358
8250.0042983
8260.0044772
8270.0047534
8280.0024236
8290.00085058
8300.00074906
8310.00077566
8320.00076859
8330.00083161
8340.00066595
8350.0007134
8360.00076861
8370.00069042
8380.00067505
8390.00072231
8400.00070936
8410.00075829
8420.00041909
8430.00042081
8440.00040605
8450.00038166
8460.00041549
8470.0003774
8480.00040559
8490.00037927
8500.00041054
8510.00037934
8520.00041044
8530.00044563
8540.00048473
8550.00043586
8560.00046732
8570.00040426
8580.00040746
8590.00041624
8600.00041745
8610.00045244
8620.00049058
8630.00052754
8640.00054686
8650.00059112
8660.00064012
8670.00059303
8680.00044286
8690.00047418
8700.00050318
8710.00054612
8720.00058816
8730.00050061
8740.00046376
8750.00049732
8760.00036638
8770.00038709
8780.00041028
8790.00044436
8800.00043575
8810.00030964
8820.00031101
8830.00031017
8840.00033325
8850.00032185
8860.00028858
8870.00031297
8880.00028342
8890.00030291
8900.00029692
8910.00029849
8920.00029952
8930.00031786
8940.00033629
8950.00035261
8960.00038249
8970.00041208
8980.00043747
8990.00046639
9000.00049863
9010.00053032
9020.00052164
9030.00055863
9040.00060434
9050.00055892
9060.00052541
9070.00050789
9080.00054864
9090.00054489
9100.00059052
9110.00062505
9120.00067131
9130.00071983
9140.0007632
9150.00082371
9160.00083424
9170.00078621
9180.00083579
9190.00078993
9200.00066322
9210.00070167
9220.00070278
9230.00075691
9240.0007854
9250.00084445
9260.00087815
9270.00089929
9280.00089662
9290.00095435
9300.0010022
9310.0010803
9320.00092578
9330.00084259
9340.00090995
9350.0009788
9360.00083114
9370.00086439
9380.00078957
9390.00082466
9400.00083743
9410.00086135
9420.00092245
9430.00095413
9440.00096324
9450.0010095
9460.0010603
9470.001135
9480.0012193
9490.0012907
9500.0013889
9510.001493
9520.0015578
9530.0016497
9540.0014673
9550.0015632
9560.0016768
9570.0016285
9580.0017082
9590.0017076
9600.0018312
9610.0019597
9620.0020727
9630.0022232
9640.0021008
9650.0022521
9660.0024139
9670.0025592
9680.0026007
9690.0024714
9700.0026207
9710.0027224
9720.0026027
9730.0026451
9740.0027815
9750.0028701
9760.0030545
9770.002652
9780.0026954
9790.0028589
9800.0030076
9810.0028413
9820.0029289
9830.003133
9840.0033394
9850.0035032
9860.0032466
9870.0032786
9880.0034777
9890.0036652
9900.0039088
9910.0041357
9920.0043405
9930.0040099
9940.0035463
9950.0037524
9960.0037779
9970.00377
9980.0034715
9990.0036451
10000.0034307
10010.0036562
10020.0037465
10030.0038923
10040.0041247
10050.0041368
10060.0042455
10070.0044838
10080.0047788
10090.0050478
10100.0052999
10110.0056076
10120.0058944
10130.0062305
10140.0065446
10150.0064207
10160.0068066
10170.0061415
10180.0064926
10190.006687
10200.0069154
10210.0072897
10220.0077341
10230.0079724
10240.0083208
10250.0075918
10260.0080574
10270.0085391
10280.0086942
10290.0091454
10300.0094588
10310.0098384
10320.0099826
10330.010022
10340.0094915
10350.0098512
10360.0097615
10370.010108
10380.0099835
10390.01017
10400.010749
10410.010607
10420.010658
10430.0099705
10440.0094612
10450.0098406
10460.0088391
10470.0089519
10480.0094513
10490.0099477
10500.0099638
10510.010543
10520.01075
10530.011305
10540.011637
10550.011699
10560.012365
10570.01172
10580.01239
10590.012151
10600.010024
10610.010607
10620.0097142
10630.0089758
10640.0093016
10650.0094114
10660.0093639
10670.0090415
10680.0095352
10690.010082
10700.010603
10710.0089214
10720.0094148
10730.0079714
10740.0084288
10750.0088744
10760.0081151
10770.0085479
10780.0090456
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68020.71105
68030.71295
68040.71021
68050.71262
68060.71019
68070.70542
68080.70818
68090.71106
68100.71398
68110.71482
Return to Figure 8

Figure 8b: Ljung-Box p-values of generalized residuals model PJSV

lagsLjung-Box p-value
10.042566
20.055464
30.020222
40.014759
50.006954
60.013142
70.0046816
80.0087316
90.015253
100.010616
110.015551
120.0023527
130.0014
140.0023022
150.0028385
160.0031891
170.0050185
180.0065111
190.0095844
200.013773
210.013761
220.018291
230.019155
240.024483
250.018526
260.011735
270.012298
280.011698
290.013932
300.017967
310.020036
320.021613
330.016524
340.0070847
350.009514
360.011971
370.015187
380.019464
390.019261
400.008439
410.0077298
420.0068735
430.0087942
440.0085709
450.010817
460.013948
470.01517
480.018024
490.017437
500.015232
510.012265
520.0097815
530.0045579
540.0058352
550.0063526
560.0080245
570.010061
580.012185
590.015217
600.01498
610.016696
620.012818
630.015309
640.0097446
650.012079
660.012582
670.015356
680.014997
690.017043
700.019018
710.018128
720.019233
730.021704
740.023062
750.027118
760.032261
770.037067
780.041395
790.047073
800.054842
810.063795
820.066427
830.072814
840.07632
850.086614
860.097652
870.085734
880.096396
890.10867
900.12286
910.082967
920.091418
930.076621
940.056373
950.055151
960.063017
970.071707
980.061308
990.05548
1000.054293
1010.05412
1020.061309
1030.06986
1040.075276
1050.048165
1060.035766
1070.041009
1080.046219
1090.051106
1100.056573
1110.055488
1120.027542
1130.027004
1140.026057
1150.02863
1160.011778
1170.013838
1180.012791
1190.01347
1200.015587
1210.017401
1220.019949
1230.023049
1240.026487
1250.026313
1260.027053
1270.031011
1280.035487
1290.02501
1300.024185
1310.026719
1320.030344
1330.031671
1340.031283
1350.033823
1360.028299
1370.032143
1380.021893
1390.024762
1400.023591
1410.026621
1420.030344
1430.025587
1440.028539
1450.032433
1460.035992
1470.025585
1480.026184
1490.027236
1500.030744
1510.030131
1520.033363
1530.036266
1540.036872
1550.041377
1560.045649
1570.017845
1580.019163
1590.021831
1600.018667
1610.021269
1620.024147
1630.015607
1640.017689
1650.020144
1660.021684
1670.02456
1680.027572
1690.026001
1700.028835
1710.032247
1720.036195
1730.036912
1740.038754
1750.043227
1760.030541
1770.03128
1780.033606
1790.010636
1800.012057
1810.013677
1820.015085
1830.016703
1840.018833
1850.020518
1860.021629
1870.019669
1880.018245
1890.010224
1900.011553
1910.013041
1920.012954
1930.013665
1940.013982
1950.015798
1960.01781
1970.019864
1980.021235
1990.022679
2000.02452
2010.027196
2020.029805
2030.031838
2040.034126
2050.037406
2060.041151
2070.045541
2080.046232
2090.028521
2100.023058
2110.024749
2120.02143
2130.02316
2140.024813
2150.016532
2160.017969
2170.015183
2180.015555
2190.017243
2200.018808
2210.021003
2220.023255
2230.025889
2240.027164
2250.028907
2260.028072
2270.017724
2280.018426
2290.020018
2300.019888
2310.013613
2320.015259
2330.014923
2340.015952
2350.017442
2360.019416
2370.018157
2380.020199
2390.022471
2400.024485
2410.024582
2420.022763
2430.025173
2440.024713
2450.019244
2460.021009
2470.016725
2480.01648
2490.015445
2500.0172
2510.019023
2520.018383
2530.018296
2540.020153
2550.019438
2560.021315
2570.019158
2580.021163
2590.021244
2600.022647
2610.024447
2620.026449
2630.028146
2640.022244
2650.022931
2660.021109
2670.02281
2680.025178
2690.0271
2700.028001
2710.029284
2720.032131
2730.034064
2740.03669
2750.03883
2760.042462
2770.045812
2780.046422
2790.05059
2800.053807
2810.054187
2820.05442
2830.044393
2840.048306
2850.051739
2860.05623
2870.060892
2880.065009
2890.069387
2900.065656
2910.070216
2920.062191
2930.066884
2940.072166
2950.074727
2960.077715
2970.081717
2980.085324
2990.091512
3000.091638
3010.098368
3020.09845
3030.10509
3040.097857
3050.1031
3060.11043
3070.11101
3080.11048
3090.11017
3100.11405
3110.11719
3120.11936
3130.1256
3140.12349
3150.096696
3160.10319
3170.091059
3180.090437
3190.084008
3200.075997
3210.080927
3220.070412
3230.04937
3240.035619
3250.034892
3260.032888
3270.035284
3280.038294
3290.040696
3300.043619
3310.044271
3320.04543
3330.043502
3340.047025
3350.042935
3360.038792
3370.040105
3380.040622
3390.035302
3400.024751
3410.026998
3420.028985
3430.025902
3440.028212
3450.030553
3460.033213
3470.03605
3480.035448
3490.037937
3500.041076
3510.041888
3520.04293
3530.042354
3540.03769
3550.036769
3560.03941
3570.041684
3580.042373
3590.040159
3600.043415
3610.043623
3620.037854
3630.040336
3640.042671
3650.041333
3660.038136
3670.039049
3680.027956
3690.026784
3700.026685
3710.028981
3720.015377
3730.014593
3740.015125
3750.01623
3760.017073
3770.012411
3780.012026
3790.012926
3800.01373
3810.014992
3820.016381
3830.017661
3840.019177
3850.019178
3860.01944
3870.019214
3880.0088298
3890.0096478
3900.0098907
3910.010287
3920.011014
3930.0064429
3940.0063825
3950.0045585
3960.0050343
3970.0054442
3980.0059455
3990.0057661
4000.0063145
4010.0069497
4020.0076421
4030.007813
4040.0049936
4050.0051501
4060.0055355
4070.0060009
4080.0061823
4090.0067272
4100.0073092
4110.0078758
4120.0085882
4130.009307
4140.0089831
4150.0091378
4160.0092921
4170.0088594
4180.0072235
4190.0066506
4200.0072967
4210.0079639
4220.008072
4230.0088236
4240.009602
4250.01003
4260.010278
4270.0078685
4280.0077734
4290.0076
4300.0070197
4310.0073037
4320.0075709
4330.0082728
4340.0073719
4350.0079286
4360.0083966
4370.0087927
4380.0093937
4390.010073
4400.0087651
4410.0088046
4420.0068881
4430.0075413
4440.008186
4450.0088609
4460.0096693
4470.010506
4480.01144
4490.011585
4500.012537
4510.012488
4520.01353
4530.0096735
4540.010533
4550.011397
4560.012254
4570.012242
4580.0096586
4590.010307
4600.0083683
4610.0087265
4620.0095051
4630.0096578
4640.0096139
4650.0104
4660.011204
4670.010508
4680.010391
4690.0090028
4700.009574
4710.010372
4720.0073086
4730.0078776
4740.0078026
4750.0083627
4760.009024
4770.0098231
4780.0068275
4790.0053126
4800.0040307
4810.0044179
4820.0043254
4830.0047073
4840.0047858
4850.0051534
4860.0049648
4870.0053995
4880.005832
4890.0061638
4900.0063093
4910.0068501
4920.0074607
4930.0080617
4940.0086845
4950.0093664
4960.0098305
4970.010345
4980.011017
4990.011511
5000.012219
5010.010264
5020.010602
5030.010631
5040.01142
5050.0088972
5060.0088696
5070.0088041
5080.0095005
5090.0089161
5100.0069715
5110.004529
5120.0046596
5130.0048231
5140.0051462
5150.0054513
5160.0059129
5170.006176
5180.0062135
5190.006737
5200.0070102
5210.0059534
5220.0042772
5230.0031072
5240.0026789
5250.0023979
5260.0026144
5270.0028078
5280.0028681
5290.0026768
5300.0027184
5310.0027629
5320.0028549
5330.0029194
5340.0025575
5350.0017608
5360.0012888
5370.0014131
5380.0015275
5390.0015564
5400.0016664
5410.0014962
5420.0013667
5430.0014774
5440.0015531
5450.0016138
5460.0016503
5470.0015135
5480.0015443
5490.0014687
5500.0016091
5510.0016718
5520.0016942
5530.0018005
5540.0013636
5550.0013138
5560.0013895
5570.0014431
5580.0015859
5590.0017089
5600.0017235
5610.0017641
5620.0014737
5630.0013816
5640.0014417
5650.0014374
5660.0015254
5670.0016538
5680.0017423
5690.0017238
5700.0018903
5710.0016765
5720.0018272
5730.0018642
5740.0019676
5750.0019034
5760.0020846
5770.0022645
5780.002413
5790.0026362
5800.002871
5810.0030534
5820.0031962
5830.0034745
5840.0035535
5850.0038688
5860.0039465
5870.0038894
5880.0040209
5890.004323
5900.004582
5910.0045231
5920.0048925
5930.0051856
5940.0035201
5950.0038279
5960.0041508
5970.0045085
5980.0048923
5990.0051065
6000.0055356
6010.0058479
6020.0060937
6030.0065848
6040.006663
6050.0071687
6060.0073868
6070.0076922
6080.0076202
6090.006731
6100.0072676
6110.0069108
6120.0074452
6130.0075992
6140.0053647
6150.0054999
6160.005342
6170.0056921
6180.0059136
6190.0058096
6200.0059073
6210.0062954
6220.0068041
6230.0072669
6240.0075441
6250.0079743
6260.0082523
6270.0088271
6280.009055
6290.0093287
6300.0083858
6310.0084212
6320.0090261
6330.0096048
6340.0097499
6350.0092194
6360.0097829
6370.0073595
6380.0078185
6390.0076274
6400.0079521
6410.0085674
6420.0089882
6430.0095686
6440.010266
6450.011024
6460.011823
6470.011035
6480.0084393
6490.0090227
6500.0093391
6510.010043
6520.010316
6530.0084061
6540.0089205
6550.0085802
6560.0091923
6570.0098833
6580.0059454
6590.0034525
6600.0033791
6610.0033891
6620.0034541
6630.0035601
6640.0034049
6650.0036712
6660.0039526
6670.0042757
6680.0046079
6690.004665
6700.0049341
6710.0053273
6720.005698
6730.0061133
6740.0064992
6750.0051593
6760.0049919
6770.0053397
6780.0040888
6790.0043038
6800.0043233
6810.0037025
6820.0039993
6830.0037299
6840.0036068
6850.0034445
6860.0035649
6870.0019737
6880.0020609
6890.0019054
6900.0013034
6910.00142
6920.0015214
6930.0015618
6940.001684
6950.001826
6960.0018676
6970.001923
6980.0017295
6990.0016864
7000.0017454
7010.0016835
7020.0018239
7030.0019802
7040.0020134
7050.0019386
7060.001919
7070.0020157
7080.0021848
7090.0023676
7100.0023761
7110.002569
7120.0026587
7130.0028722
7140.0030122
7150.0032049
7160.0034039
7170.0027591
7180.0020293
7190.0010633
7200.000828
7210.00090218
7220.00087448
7230.00094171
7240.0010221
7250.0011135
7260.0011342
7270.0012227
7280.0013296
7290.0014382
7300.0014452
7310.0015427
7320.0016322
7330.0017648
7340.0016616
7350.0016733
7360.0017884
7370.0018082
7380.0014813
7390.0016084
7400.0015969
7410.0017309
7420.0017582
7430.0018573
7440.0019101
7450.0020682
7460.0018181
7470.0018703
7480.0020029
7490.0021671
7500.001755
7510.0018997
7520.0019281
7530.0020828
7540.0022152
7550.0022576
7560.0023815
7570.0025691
7580.0027736
7590.002854
7600.0029357
7610.0031065
7620.0032765
7630.0021045
7640.002132
7650.0022196
7660.0023952
7670.0025869
7680.0027838
7690.0029968
7700.0032287
7710.003478
7720.003746
7730.0039373
7740.0038919
7750.0039748
7760.0042618
7770.003284
7780.0032873
7790.0035322
7800.0036499
7810.0038369
7820.0040301
7830.0041084
7840.0044178
7850.003602
7860.0035281
7870.0036088
7880.0033543
7890.0035938
7900.0037704
7910.0034288
7920.0035681
7930.0037858
7940.0036145
7950.003102
7960.0032772
7970.0034476
7980.0037046
7990.0038623
8000.0038228
8010.0039825
8020.003373
8030.0035661
8040.0037395
8050.0038321
8060.0036704
8070.0037704
8080.0039819
8090.0025544
8100.0027528
8110.0027995
8120.0029247
8130.0029219
8140.0025171
8150.0025725
8160.002541
8170.002686
8180.0028879
8190.0027909
8200.0029278
8210.0031474
8220.0033839
8230.0031695
8240.0034088
8250.0032633
8260.0031684
8270.0033138
8280.0017586
8290.00057693
8300.00046779
8310.00048804
8320.00049547
8330.00053475
8340.00046477
8350.00050524
8360.00053689
8370.00046731
8380.00048058
8390.00052233
8400.00051604
8410.00056126
8420.00031932
8430.00030702
8440.00029406
8450.00025575
8460.00027713
8470.00024815
8480.00025434
8490.00025401
8500.00027581
8510.00024121
8520.00025424
8530.00027694
8540.00029878
8550.00025786
8560.00027645
8570.00026164
8580.00023874
8590.00025086
8600.00025239
8610.00027541
8620.00029975
8630.00032673
8640.00033546
8650.00036242
8660.00039438
8670.00035924
8680.00027797
8690.00029749
8700.00031858
8710.00034684
8720.00037744
8730.00035223
8740.00034587
8750.00036467
8760.00029283
8770.00029113
8780.00030315
8790.00032828
8800.00030793
8810.00023486
8820.00023049
8830.00024177
8840.00026036
8850.00026522
8860.00024524
8870.00026266
8880.00026048
8890.00028349
8900.00029049
8910.00028893
8920.00029238
8930.00031387
8940.00032715
8950.00033485
8960.00035601
8970.00038297
8980.00038137
8990.00041117
9000.0004313
9010.00044893
9020.00045314
9030.00049093
9040.00052934
9050.00051047
9060.00049219
9070.00043045
9080.00044307
9090.00043893
9100.00047451
9110.00051339
9120.0005558
9130.00058547
9140.00060124
9150.00064949
9160.00063764
9170.00062176
9180.00067216
9190.00060259
9200.00059945
9210.00058487
9220.00060373
9230.00065089
9240.00064426
9250.00068522
9260.00070288
9270.00067497
9280.00061345
9290.00065706
9300.00070916
9310.00076643
9320.00068553
9330.00062362
9340.00067465
9350.00071884
9360.00064443
9370.00066588
9380.00060799
9390.00064623
9400.00064621
9410.00066748
9420.00071456
9430.00075182
9440.00072968
9450.00076799
9460.00080847
9470.00087172
9480.00093998
9490.001002
9500.0010799
9510.001148
9520.0011784
9530.0012666
9540.0010304
9550.0011017
9560.0011847
9570.0011308
9580.0011883
9590.0012277
9600.0013134
9610.0013745
9620.001427
9630.0014889
9640.0014573
9650.0015442
9660.0016516
9670.0017707
9680.0018277
9690.0018781
9700.0020137
9710.0020652
9720.0019459
9730.0019976
9740.0021156
9750.0022672
9760.0024131
9770.0020591
9780.0020026
9790.0020965
9800.0022416
9810.0021677
9820.0022995
9830.0024516
9840.0025696
9850.0027507
9860.002699
9870.0027918
9880.0029455
9890.0031344
9900.0033283
9910.0035244
9920.0037604
9930.003616
9940.0033115
9950.0035007
9960.003618
9970.0036176
9980.0035299
9990.0037043
10000.0036356
10010.0038812
10020.0039789
10030.0040764
10040.0042495
10050.0042237
10060.0042774
10070.0045428
10080.0048357
10090.0050711
10100.005257
10110.0055685
10120.0059232
10130.0062994
10140.0063876
10150.0060179
10160.006382
10170.0062075
10180.0065362
10190.00674
10200.0068757
10210.0072988
10220.0076115
10230.0079534
10240.0084386
10250.0080446
10260.0085344
10270.0090492
10280.0091592
10290.0096876
10300.009644
10310.0099925
10320.010064
10330.009763
10340.0099548
10350.010228
10360.009965
10370.010318
10380.010258
10390.010312
10400.010912
10410.010773
10420.011207
10430.0097415
10440.0092715
10450.0098209
10460.0088248
10470.0082434
10480.0087339
10490.0091658
10500.0094344
10510.0098875
10520.0095707
10530.010075
10540.010322
10550.01057
10560.011175
10570.0094322
10580.0098942
10590.0085017
10600.0061315
10610.0065025
10620.0066579
10630.0065166
10640.0066752
10650.0069802
10660.0072631
10670.0070417
10680.0074412
10690.007888
10700.008353
10710.0067786
10720.0071497
10730.0071948
10740.0075088
10750.0077692
10760.0075628
10770.0079144
10780.0082927
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Return to Figure 8

Figure 8c: Ljung-Box p-values of generalized residuals model DiffPJSV

lagsLjung-Box p-value
10.011291
20.016401
30.003555
40.0024551
50.00087597
60.0015315
70.00095463
80.0019211
90.002906
100.002123
110.0037793
120.00034406
130.00019368
140.00029766
150.00036431
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Return to Figure 8

Figure 8d: Ljung-Box p-values of generalized residuals model SJ

lagsLjung-Box p-value
10.016692
20.032502
30.01253
40.0077315
50.0029065
60.0048626
70.0031997
80.0060887
90.0085115
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Return to Figure 8

Figure 8e: Ljung-Box p-values of generalized residuals model SJSV

lagsLjung-Box p-value
10.018899
20.037668
30.015606
40.0137
50.0051724
60.0095203
70.0026236
80.005045
90.0090164
100.0063487
110.010196
120.001427
130.00062264
140.0010148
150.0013702
160.0014819
170.002397
180.0032805
190.0047498
200.0071494
210.0068146
220.0094574
230.010314
240.014166
250.0093177
260.0082448
270.007513
280.0072619
290.0096943
300.012679
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68080.072659
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68100.075031
68110.075501
Return to Figure 8

Figure 8f: Ljung-Box p-values of generalized residuals model DiffSJSV

lagsLjung-Box p-value
10.010835
20.016893
30.0049039
40.0036876
50.0016558
60.0028674
70.0020338
80.0039592
90.0059575
100.0042301
110.0072873
120.00058595
130.0002674
140.00041648
150.00056328
160.00085572
170.0014161
180.0017195
190.0027129
200.0041189
210.0044591
220.0057015
230.0073862
240.010531
250.0068585
260.0063144
270.0064601
280.0040942
290.0046784
300.0061801
310.0081535
320.0067817
330.00626
340.0032657
350.0039109
360.0050046
370.0057471
380.007732
390.0069267
400.0036468
410.0029184
420.003716
430.0046063
440.0039486
450.0047966
460.0063313
470.0082709
480.0099994
490.012018
500.010014
510.0060618
520.0071391
530.0037342
540.0046227
550.0044428
560.0056891
570.007267
580.0089081
590.011201
600.0098181
610.0096227
620.0054771
630.0066994
640.0051239
650.00647
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57180.59309
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57200.58969
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57230.59818
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57290.58861
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57310.58667
57320.58754
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57340.59194
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57380.59025
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57470.55917
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57650.55336
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57690.55909
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57850.51136
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57990.53007
58000.52277
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58160.52254
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58180.50944
58190.51301
58200.51425
58210.51437
58220.51286
58230.51622
58240.51991
58250.51627
58260.51935
58270.52242
58280.52568
58290.52092
58300.52434
58310.52507
58320.52791
58330.52881
58340.53249
58350.49649
58360.49817
58370.49411
58380.49336
58390.48577
58400.48758
58410.48002
58420.47948
58430.48182
58440.48352
58450.48719
58460.48269
58470.47876
58480.4756
58490.47557
58500.47794
58510.48014
58520.48292
58530.48161
58540.48485
58550.48801
58560.49039
58570.49182
58580.49494
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58600.49946
58610.4982
58620.50051
58630.50401
58640.50712
58650.50501
58660.50693
58670.51056
58680.50715
58690.51083
58700.5137
58710.51637
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58730.50272
58740.50555
58750.50894
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58800.49734
58810.49997
58820.49396
58830.49449
58840.49796
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58950.50625
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58990.51215
59000.51346
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59030.52023
59040.52389
59050.52634
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59100.52812
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59120.53539
59130.53819
59140.53796
59150.54141
59160.54312
59170.52211
59180.52516
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59200.53045
59210.52776
59220.52945
59230.52656
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59260.53441
59270.52665
59280.49917
59290.50245
59300.50611
59310.50917
59320.50649
59330.51
59340.51359
59350.5057
59360.50327
59370.50561
59380.50436
59390.50802
59400.51168
59410.51169
59420.51503
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59440.51585
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59460.52051
59470.51971
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59500.51485
59510.51847
59520.52211
59530.52576
59540.52723
59550.53055
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59570.52983
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59600.52139
59610.51989
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59630.52396
59640.52747
59650.53082
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59670.53788
59680.54122
59690.5376
59700.53746
59710.5405
59720.54141
59730.53326
59740.53248
59750.53611
59760.53628
59770.53746
59780.5396
59790.54204
59800.54548
59810.54626
59820.54729
59830.5509
59840.55423
59850.55445
59860.55715
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59880.54346
59890.54482
59900.54839
59910.55183
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59930.54295
59940.54597
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59980.54362
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60000.51463
60010.50943
60020.51304
60030.51417
60040.51776
60050.51599
60060.5193
60070.52188
60080.52549
60090.52811
60100.52995
60110.53037
60120.53396
60130.53744
60140.5367
60150.54017
60160.53245
60170.53302
60180.52838
60190.52037
60200.51676
60210.51118
60220.51091
60230.5144
60240.51796
60250.51804
60260.52145
60270.52328
60280.52367
60290.52568
60300.52799
60310.53091
60320.53449
60330.53731
60340.53992
60350.54332
60360.54693
60370.54699
60380.54988
60390.55219
60400.55326
60410.5472
60420.55045
60430.55393
60440.54697
60450.54756
60460.54589
60470.54903
60480.55255
60490.55609
60500.55942
60510.56071
60520.54953
60530.54419
60540.54778
60550.55137
60560.55313
60570.55638
60580.55993
60590.56245
60600.55814
60610.56162
60620.5601
60630.56241
60640.56572
60650.56609
60660.561
60670.56448
60680.56151
60690.56509
60700.5656
60710.56501
60720.56768
60730.55728
60740.56083
60750.56293
60760.56606
60770.56931
60780.5666
60790.56993
60800.57185
60810.57209
60820.57431
60830.57786
60840.57485
60850.5779
60860.58091
60870.58383
60880.58498
60890.58638
60900.58087
60910.58382
60920.5796
60930.57954
60940.56582
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60960.56433
60970.56728
60980.5691
60990.57265
61000.56622
61010.56588
61020.56891
61030.56745
61040.56971
61050.57299
61060.57609
61070.57964
61080.57979
61090.58
61100.58212
61110.58489
61120.58729
61130.58704
61140.59054
61150.59186
61160.5919
61170.57416
61180.57766
61190.58085
61200.57141
61210.5695
61220.57208
61230.5744
61240.57734
61250.57939
61260.58189
61270.57874
61280.57195
61290.57516
61300.57862
61310.56364
61320.56564
61330.56281
61340.56431
61350.56785
61360.5712
61370.5655
61380.56817
61390.56305
61400.56556
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61420.55509
61430.55855
61440.56156
61450.55899
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61470.566
61480.56145
61490.565
61500.56514
61510.56863
61520.57156
61530.57337
61540.55092
61550.54923
61560.55276
61570.55065
61580.55252
61590.55596
61600.55891
61610.56226
61620.55106
61630.55455
61640.54747
61650.55015
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61680.54577
61690.54861
61700.54984
61710.55336
61720.55691
61730.55505
61740.55782
61750.56011
61760.55873
61770.5615
61780.5579
61790.56145
61800.56489
61810.56839
61820.56908
61830.57256
61840.57291
61850.57638
61860.57967
61870.58198
61880.58527
61890.5726
61900.57592
61910.57816
61920.58163
61930.58094
61940.57758
61950.58055
61960.58396
61970.5867
61980.58951
61990.59235
62000.59277
62010.59625
62020.59944
62030.60285
62040.60631
62050.60971
62060.5987
62070.60217
62080.60542
62090.60081
62100.60321
62110.60407
62120.60744
62130.60301
62140.60135
62150.60299
62160.60384
62170.60702
62180.60677
62190.61022
62200.61365
62210.61639
62220.61979
62230.61531
62240.618
62250.6205
62260.61229
62270.61562
62280.61464
62290.61105
62300.60207
62310.59807
62320.59649
62330.59957
62340.59837
62350.60076
62360.60288
62370.606
62380.60905
62390.61242
62400.60388
62410.6037
62420.60338
62430.59851
62440.5997
62450.59788
62460.60029
62470.60227
62480.60558
62490.60069
62500.60411
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62530.61084
62540.61372
62550.61713
62560.60653
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62580.61005
62590.60468
62600.60058
62610.59924
62620.59406
62630.59698
62640.59176
62650.59374
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62680.60071
62690.58844
62700.57624
62710.56784
62720.57104
62730.56934
62740.56816
62750.57166
62760.57204
62770.57553
62780.57506
62790.57775
62800.58092
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62820.57435
62830.57711
62840.58018
62850.58364
62860.57903
62870.58031
62880.58321
62890.5842
62900.5871
62910.59056
62920.59363
62930.59462
62940.58978
62950.59301
62960.59411
62970.59706
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62990.59907
63000.6021
63010.59997
63020.56573
63030.5678
63040.57096
63050.57016
63060.55689
63070.55852
63080.56194
63090.56529
63100.56879
63110.5715
63120.57499
63130.57666
63140.57987
63150.58135
63160.58368
63170.58683
63180.59027
63190.59329
63200.58318
63210.57707
63220.57651
63230.56722
63240.56943
63250.56815
63260.57162
63270.5712
63280.56901
63290.5479
63300.55128
63310.54668
63320.54999
63330.55048
63340.55008
63350.54431
63360.54439
63370.54597
63380.54592
63390.54923
63400.53706
63410.51483
63420.51681
63430.51979
63440.52302
63450.52656
63460.52796
63470.53077
63480.52715
63490.52624
63500.51775
63510.52044
63520.51764
63530.51688
63540.5193
63550.52255
63560.52207
63570.52428
63580.51507
63590.51856
63600.52201
63610.52538
63620.52083
63630.5239
63640.52115
63650.52397
63660.52555
63670.52391
63680.52458
63690.52635
63700.52166
63710.51853
63720.52196
63730.52546
63740.5289
63750.53067
63760.53407
63770.53695
63780.53454
63790.53564
63800.53871
63810.54221
63820.545
63830.54783
63840.55085
63850.55423
63860.55772
63870.54808
63880.55148
63890.53706
63900.53872
63910.53364
63920.53686
63930.53628
63940.53657
63950.53793
63960.53979
63970.54235
63980.54565
63990.54916
64000.55189
64010.55503
64020.55359
64030.55568
64040.55742
64050.55572
64060.55702
64070.56042
64080.56234
64090.56467
64100.56757
64110.57036
64120.57383
64130.577
64140.57516
64150.57836
64160.58127
64170.57581
64180.57784
64190.58041
64200.58329
64210.58654
64220.57839
64230.57346
64240.57653
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64260.58312
64270.58656
64280.58986
64290.58526
64300.58865
64310.59177
64320.59515
64330.59856
64340.60192
64350.60489
64360.6082
64370.60397
64380.60677
64390.60896
64400.59397
64410.59344
64420.58821
64430.58644
64440.58901
64450.59071
64460.59408
64470.5964
64480.5994
64490.60265
64500.60552
64510.60843
64520.60918
64530.61081
64540.59899
64550.60238
64560.60301
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64580.60924
64590.61141
64600.61209
64610.61527
64620.61823
64630.61989
64640.62308
64650.62563
64660.62886
64670.62968
64680.63271
64690.63435
64700.63473
64710.63697
64720.63961
64730.64237
64740.63139
64750.63384
64760.6365
64770.63909
64780.64231
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64810.64708
64820.64944
64830.65077
64840.65397
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64860.65146
64870.6517
64880.65133
64890.65203
64900.65522
64910.65844
64920.65882
64930.66191
64940.66488
64950.66709
64960.67003
64970.67068
64980.6737
64990.67681
65000.67991
65010.67912
65020.68222
65030.68401
65040.68709
65050.69015
65060.6924
65070.69482
65080.69523
65090.69827
65100.69174
65110.69477
65120.69782
65130.69974
65140.7003
65150.70328
65160.70574
65170.70758
65180.69237
65190.69131
65200.69389
65210.69437
65220.6936
65230.69512
65240.68347
65250.68544
65260.68524
65270.68632
65280.68441
65290.68599
65300.68721
65310.68872
65320.68971
65330.6921
65340.67966
65350.67887
65360.68173
65370.68242
65380.68552
65390.68778
65400.68158
65410.67727
65420.68033
65430.67622
65440.66708
65450.66909
65460.65742
65470.65767
65480.65418
65490.65166
65500.64305
65510.64542
65520.64866
65530.6481
65540.6513
65550.65146
65560.64878
65570.63955
65580.63312
65590.63635
65600.63838
65610.6331
65620.6362
65630.63948
65640.64264
65650.64586
65660.64277
65670.64578
65680.64766
65690.64957
65700.64878
65710.65182
65720.65155
65730.64625
65740.6491
65750.65171
65760.65202
65770.65524
65780.65297
65790.65492
65800.65769
65810.66087
65820.66388
65830.66583
65840.66863
65850.67171
65860.67257
65870.66903
65880.67211
65890.6748
65900.67791
65910.6796
65920.6711
65930.67297
65940.67303
65950.67611
65960.67541
65970.67366
65980.66812
65990.65035
66000.65227
66010.64799
66020.65072
66030.64627
66040.6494
66050.65042
66060.65161
66070.65333
66080.6563
66090.65805
66100.6488
66110.64885
66120.6519
66130.6513
66140.65266
66150.6548
66160.65245
66170.65504
66180.65214
66190.65525
66200.65701
66210.66019
66220.65751
66230.65621
66240.65779
66250.66049
66260.66308
66270.66608
66280.66171
66290.66486
66300.65943
66310.66259
66320.66441
66330.66361
66340.66664
66350.66961
66360.67273
66370.67499
66380.66809
66390.66553
66400.66715
66410.6692
66420.66875
66430.67181
66440.67235
66450.67187
66460.67388
66470.67238
66480.66975
66490.67288
66500.67129
66510.6718
66520.67014
66530.67174
66540.67474
66550.67623
66560.67762
66570.68052
66580.68222
66590.67729
66600.67975
66610.67942
66620.66253
66630.66423
66640.66548
66650.66615
66660.66896
66670.66616
66680.66462
66690.65995
66700.66228
66710.65415
66720.65627
66730.65908
66740.65807
66750.65609
66760.6581
66770.66127
66780.66392
66790.66611
66800.66704
66810.66883
66820.67061
66830.66574
66840.66448
66850.66385
66860.66408
66870.66277
66880.66205
66890.66496
66900.66692
66910.66544
66920.65299
66930.65567
66940.64986
66950.64607
66960.64919
66970.63783
66980.63974
66990.64297
67000.64617
67010.64272
67020.64594
67030.64891
67040.6519
67050.65221
67060.6505
67070.65367
67080.65685
67090.65555
67100.65769
67110.66056
67120.66174
67130.65566
67140.65514
67150.64121
67160.64422
67170.6474
67180.64254
67190.64571
67200.64851
67210.65164
67220.6536
67230.64968
67240.63944
67250.63632
67260.63925
67270.63853
67280.64062
67290.64219
67300.63472
67310.63419
67320.63663
67330.63833
67340.63782
67350.63235
67360.63281
67370.63101
67380.62934
67390.63134
67400.63447
67410.6377
67420.64082
67430.64262
67440.64554
67450.64698
67460.65016
67470.65335
67480.65573
67490.65602
67500.65911
67510.65895
67520.65984
67530.66283
67540.66055
67550.66354
67560.66108
67570.66372
67580.65049
67590.65367
67600.64786
67610.65038
67620.64434
67630.64748
67640.65007
67650.65309
67660.65612
67670.65851
67680.66154
67690.66266
67700.65857
67710.65918
67720.66176
67730.65815
67740.66112
67750.66118
67760.66395
67770.65888
67780.66145
67790.66362
67800.66622
67810.66745
67820.6683
67830.67138
67840.67447
67850.67691
67860.67542
67870.67738
67880.68024
67890.6811
67900.68179
67910.68112
67920.68136
67930.67845
67940.68151
67950.68455
67960.68485
67970.6879
67980.68949
67990.68532
68000.68652
68010.6874
68020.68958
68030.69151
68040.68869
68050.69122
68060.68832
68070.68343
68080.68621
68090.68917
68100.69219
68110.6929
Return to Figure 8

This version is optimized for use by screen readers. Descriptions for all mathematical expressions are provided in LaTex format. A printable pdf version is available. Return to Text

Last update: October 14, 2009