Mathematical Problems in Engineering

Research Article

Estimation Based on Adaptive Progressively Censored under Competing Risks Model with Engineering Applications

Table 2

The 95% confidence lengths and the coverage probabilities (in parentheses) for and under various censoring schemes.
SchParACIBayesBootstrap
BCIHPDBPBT
(50,5)12.822(95.000)2.218(97.500)2.093(97.100)2.822(95.400)9.633(86.900)
  4.066(97.200)3.205(98.300)2.047(96.300)4.066(96.000)12.17(93.700)
 23.052(96.900)2.344(96.900)2.203(97.600)3.052(97.400)9.952(90.800)
  4.486(97.700)3.436(96.000)2.133(96.500)4.486(97.600)12.44(95.000)
 33.471(97.100)2.552(96.300)2.384(97.300)3.471(94.000)11.02(93.200)
  4.954(96.900)3.656(95.500)2.307(95.300)4.954(95.700)14.71(97.700)
(50,10)12.229(94.600)1.850(94.200)1.746(94.500)2.229(88.300)10.24(87.300)
  3.202(93.600)2.667(92.500)1.711(93.100)3.202(90.500)14.09(84.900)
 22.280(92.200)1.890(95.800)1.782(93.500)2.280(84.300)10.51(81.700)
  3.348(92.900)2.768(94.600)1.743(92.200)3.348(73.700)14.39(88.700)
 32.806(93.200)2.193(96.100)2.071(95.400)2.806(93.000)10.67(88.400)
  3.997(94.200)3.139(96.200)2.006(94.200)3.997(93.000)14.49(91.600)
(60,15)11.839(90.300)1.625(96.200)1.559(94.000)1.839(89.000)6.412(86.900)
  2.675(92.200)2.364(95.500)1.551(93.700)2.675(90.800)8.792(88.200)
 21.974(92.600)1.717(95.200)1.648(94.300)1.974(91.900)6.732(83.100)
  2.829(93.200)2.469(94.900)1.637(94.100)2.829(86.300)8.866(80.900)
 32.325(94.800)1.953(94.600)1.871(96.000)2.325(96.100)7.081(90.100)
  3.317(93.600)2.797(92.600)1.845(95.700)3.317(96.000)9.523(93.200)
(100,25)11.334(90.000)1.246(93.600)1.182(90.200)1.334(92.900)3.711(90.000)
  1.902(90.300)1.782(92.500)1.214(91.200)1.902(93.700)5.097(92.800)
 21.419(94.100)1.316(95.800)1.243(93.900)1.419(85.700)4.207(78.700)
  2.025(92.000)1.883(93.500)1.280(94.500)2.025(84.800)5.772(82.700)
 31.744(93.100)1.574(90.100)1.456(91.200)1.744(96.700)4.670(92.500)
  2.448(91.300)2.220(87.600)1.534(93.000)2.448(96.200)6.493(93.800)
(50,5)12.866(95.400)2.206(96.800)2.111(97.600)2.866(96.700)9.721(86.500)
  4.010(97.000)3.232(97.600)2.039(96.300)4.015(96.200)11.43(92.700)
 23.086(96.300)2.358(97.500)2.215(98.200)3.086(96.800)9.868(89.600)
  4.502(96.100)3.432(95.900)2.166(97.100)4.502(97.500)13.12(94.900)
 33.412(97.000)2.516(96.700)2.359(98.200)3.412(95.200)9.906(91.500)
  4.924(96.800)3.638(94.500)2.268(95.800)4.924(96.500)13.16(97.300)
(50,10)12.307(93.400)1.902(94.800)1.790(91.900)2.307(91.600)10.31(89.100)
  3.314(93.700)2.740(93.100)1.763(91.200)3.314(92.800)12.52(86.500)
 22.317(92.500)1.903(95.700)1.793(94.100)2.307(91.200)9.609(89.500)
  3.372(93.700)2.773(93.300)1.767(93.100)3.372(90.800)13.77(87.600)
 32.753(92.200)2.163(96.400)2.042(95.100)2.753(92.800)9.592(85.900)
  3.965(95.300)3.123(96.700)1.992(94.100)3.965(92.600)12.19(92.000)
(60,15)11.830(90.000)1.619(94.900)1.552(93.100)1.830(92.700)6.022(92.200)
  2.636(92.000)2.334(93.800)1.548(92.700)2.636(94.800)8.291(91.900)
 21.961(92.300)1.710(95.800)1.639(93.500)1.961(90.600)6.581(90.600)
  2.851(93.800)2.485(94.600)1.622(93.200)2.851(91.400)8.919(92.800)
 32.341(94.300)1.963(93.400)1.882(94.600)2.341(96.200)7.084(91.300)
  3.323(93.300)2.798(92.400)1.843(94.500)3.323(96.500)10.34(93.900)
(100,25)11.353(92.000)1.261(94.300)1.197(91.900)1.353(94.900)3.828(92.500)
  1.920(90.800)1.796(93.300)1.228(92.700)1.920(93.500)5.369(90.700)
 21.431(94.000)1.325(95.800)1.262(94.400)1.431(94.600)3.946(92.900)
  2.066(94.500)1.917(95.200)1.289(95.100)2.066(95.500)5.530(91.900)
 31.707(94.400)1.545(92.800)1.448(92.900)1.707(96.900)4.710(91.200)
  2.420(90.100)2.198(92.500)1.502(94.300)2.420(94.100)6.662(92.500)