Mathematical Problems in Engineering / 2018 / Article / Tab 1

Research Article

Model Selection Approaches for Predicting Future Order Statistics from Type II Censored Data

Table 1

The corresponding bias and MSEs for different settings with model misspecification when true distribution is ND.

Assumed Distribution
Normal distributionExtreme Value distribution
biasMSEbiasMSEbiasMSEbiasMSE

1089-0.11890.1295-0.34300.2140-0.19700.1406-0.34300.2140
78-0.11930.0949-0.28320.1509-0.15970.0995-0.28320.1509
79-0.15690.2159-0.33080.2753-0.30580.2619-0.40070.3196
67-0.12060.0738-0.25600.1170-0.14020.0752-0.25600.1170
68-0.30090.1652-0.15700.2134-0.34710.1947-0.25920.2399
69-0.19640.3199-0.29800.3498-0.41470.4169-0.46780.4566
56-0.12220.0747-0.24480.1142-0.12980.0749-0.24480.1142
57-0.16900.1570-0.29130.1968-0.24520.1773-0.32660.2152
58-0.22040.2661-0.29790.2877-0.38420.3310-0.43040.3606
59-0.27020.4625-0.34290.4841-0.55570.6235-0.59140.6567

201618-0.06750.0802-0.23430.1178-0.20740.1067-0.28320.1414
1416-0.06260.0514-0.19640.0780-0.14670.0622-0.22080.0875
1418-0.08020.1259-0.16070.1372-0.29950.1939-0.33380.2143
1214-0.05890.0411-0.17530.0640-0.11620.0477-0.19030.0693
1216-0.08630.0936-0.14690.1019-0.23810.1317-0.27030.1467
1218-0.11190.1857-0.16940.1942-0.40850.3102-0.43330.3296
1012-0.06640.0376-0.17070.0579-0.10750.0420-0.18120.0614
1014-0.08840.0818-0.13850.0886-0.20720.1084-0.23920.1211
1016-0.11510.1417-0.15520.1474-0.33760.2210-0.35880.2343
1018-0.14970.2628-0.19600.2701-0.52580.4627-0.54600.4823

3024270.02950.0763-0.11610.0584-0.25440.1226-0.23960.1020
2124-0.00590.0500-0.10780.0386-0.19520.0725-0.18190.0591
2127-0.02380.0933-0.09910.0827-0.33170.1889-0.26870.1366
1821-0.04820.0343-0.10870.0325-0.18510.0574-0.17000.0487
1824-0.07480.0650-0.11110.0605-0.31070.1451-0.24090.1030
1827-0.09610.1203-0.13280.1210-0.42700.2816-0.37170.2418
1518-0.06540.0267-0.10960.0310-0.13540.0388-0.15790.0430
1521-0.08620.0540-0.10520.0553-0.25720.1096-0.23310.0943
1524-0.11380.0911-0.13100.0941-0.38360.2094-0.35740.1924
1527-0.14640.1578-0.17220.1648-0.56140.4196-0.54630.4115

4032360.06530.0634-0.06690.0404-0.26960.1229-0.21450.0840
28320.05640.0426-0.05360.0225-0.19610.0685-0.14680.0418
28360.06220.0661-0.02680.0495-0.32240.1660-0.24420.1073
24280.05030.0349-0.04700.0173-0.16730.0514-0.11750.0294
24320.05670.0476-0.01880.0307-0.24640.1060-0.15880.0554
24360.06790.0697-0.00300.0560-0.32020.1666-0.25750.1199
20240.04020.0318-0.04590.0152-0.16290.0464-0.10490.0244
20280.03880.0405-0.02080.0261-0.22360.0887-0.12030.0394
20320.04980.0511-0.00350.0402-0.25030.1088-0.16660.0637
20360.05480.07690.00150.0674-0.32150.1688-0.26580.1294

5040450.06600.0504-0.04470.0310-0.28130.1201-0.19920.0700
35400.05640.0352-0.03870.0175-0.20430.0676-0.13300.0342
35450.06710.0551-0.01380.0407-0.32230.1587-0.23720.0970
30350.05060.0293-0.03210.0131-0.17420.0503-0.10160.0228
30400.05800.0371-0.00740.0239-0.24790.0992-0.15000.0467
30450.06760.05640.00760.0457-0.32450.1580-0.25470.1092
25300.04090.0260-0.03130.0110-0.17240.0446-0.09030.0180
25350.04960.0313-0.00650.0193-0.22350.0822-0.11080.0319
25400.05670.03930.00810.0299-0.25300.1017-0.16400.0559
25450.07020.05770.02210.0492-0.32450.1573-0.26460.1164

6048540.06390.0445-0.03500.0266-0.29010.1196-0.19250.0630
42480.05540.0309-0.02750.0144-0.21010.0643-0.12270.0285
42540.06440.0457-0.00460.0341-0.32640.1523-0.23250.0886
36420.05000.0247-0.02400.0106-0.18030.0491-0.09290.0186
36480.05730.0325-0.00240.0209-0.25050.0969-0.14650.0429
36540.06780.04880.01480.0396-0.32680.1542-0.25260.1040
30360.04160.0215-0.02260.0092-0.17860.0466-0.07980.0154
30420.04520.0260-0.00300.0162-0.23040.0786-0.10820.0276
30480.05730.03330.01580.0257-0.25320.0983-0.15880.0512
30540.06740.04940.02330.0429-0.32900.1568-0.26680.1139