Mathematical Problems in Engineering

Research Article

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

Table 1

The average values of estimates and the corresponding MSEs (in parentheses) for and under various censoring schemes.
SchParMLEsBayes estimates
SELINEXGEWSEPr
(50,5)11.352(0.749)1.221(0.322)1.138(0.247)1.013(0.245)0.939(0.242)1.354(0.421)
  2.695(1.683)2.441(0.683)2.277(0.467)2.231(0.490)2.159(0.446)2.578(0.860)
 21.445(0.917)1.279(0.368)1.188(0.275)1.057(0.266)0.979(0.257)1.421(0.489)
  2.991(2.432)2.628(0.947)2.441(0.631)2.403(0.659)2.327(0.586)2.774(1.191)
 31.669(1.382)1.410(0.502)1.303(0.363)1.172(0.329)1.088(0.299)1.562(0.676)
  3.273(3.582)2.777(1.243)2.566(0.816)2.537(0.859)2.455(0.757)2.934(1.559)
(50,10)11.070(0.478)1.020(0.240)0.960(0.203)0.846(0.230)0.785(0.243)1.130(0.282)
  2.120(1.061)2.029(0.499)1.910(0.411)1.854(0.457)1.795(0.458)2.143(0.563)
 21.081(0.481)1.032(0.251)0.970(0.214)0.853(0.243)0.790(0.278)1.146(0.293)
  2.232(1.087)2.117(0.513)1.990(0.425)1.936(0.484)1.875(0.487)2.235(0.595)
 31.351(0.819)1.212(0.338)1.131(0.258)1.008(0.256)0.936(0.290)1.343(0.438)
  2.640(1.879)2.384(0.749)2.223(0.526)2.177(0.561)2.107(0.519)2.518(0.921)
(60,15)11.061(0.276)1.038(0.173)0.993(0.152)0.907(0.166)0.862(0.173)1.122(0.198)
  2.177(0.652)2.118(0.397)2.026(0.330)1.987(0.352)1.943(0.345)2.204(0.447)
 21.145(0.334)1.101(0.201)1.051(0.169)0.965(0.173)0.918(0.173)1.189(0.240)
  2.292(0.778)2.205(0.457)2.104(0.364)2.067(0.382)2.021(0.366)2.295(0.528)
 31.353(0.581)1.256(0.317)1.191(0.254)1.101(0.237)1.047(0.222)1.355(0.397)
  2.683(1.484)2.495(0.783)2.366(0.583)2.339(0.605)2.286(0.556)2.597(0.927)
(100,25)10.993(0.137)0.988(0.107)0.962(0.100)0.909(0.108)0.882(0.112)1.040(0.113)
  1.986(0.307)1.977(0.237)1.925(0.221)1.898(0.234)1.871(0.235)2.030(0.247)
 21.054(0.142)1.043(0.109)1.014(0.109)0.960(0.112)0.931(0.123)1.098(0.121)
  2.115(0.362)2.090(0.271)2.032(0.239)2.006(0.248)1.978(0.244)2.145(0.294)
 31.312(0.368)1.260(0.259)1.218(0.221)1.161(0.205)1.127(0.191)1.324(0.305)
  2.543(0.834)2.453(0.580)2.372(0.472)2.354(0.478)2.320(0.448)2.518(0.659)
(50,5)11.379(0.823)1.240(0.345)1.155(0.243)1.029(0.240)0.955(0.244)1.374(0.419)
  2.721(1.738)2.459(0.606)2.292(0.481)2.247(0.506)2.174(0.439)2.597(0.888)
 21.467(0.957)1.292(0.377)1.199(0.280)1.069(0.268)0.991(0.256)1.433(0.503)
  2.996(2.681)2.620(0.991)2.432(0.663)2.395(0.699)2.319(0.624)2.766(1.239)
 31.627(1.272)1.382(0.473)1.277(0.343)1.145(0.313)1.062(0.286)1.532(0.639)
  3.264(3.577)2.770(1.237)2.561(0.812)2.532(0.855)2.451(0.753)2.926(1.551)
(50,10)11.109(0.531)1.049(0.249)0.986(0.207)0.871(0.232)0.808(0.243)1.163(0.298)
  2.195(1.115)2.085(0.528)1.960(0.424)1.905(0.467)1.844(0.463)2.202(0.606)
 21.096(0.566)1.042(0.258)0.979(0.215)0.862(0.245)0.799(0.259)1.156(0.302)
  2.245(1.262)2.117(0.569)1.988(0.449)1.935(0.493)1.874(0.483)2.235(0.658)
 31.315(0.722)1.189(0.312)1.109(0.240)0.986(0.248)0.914(0.268)1.318(0.405)
  2.627(1.805)2.378(0.724)2.219(0.508)2.173(0.541)2.104(0.499)2.511(0.893)
(60,15)11.063(0.263)1.039(0.168)0.994(0.147)0.910(0.160)0.866(0.166)1.122(0.192)
  2.138(0.648)2.086(0.403)1.995(0.340)1.956(0.364)1.912(0.359)2.171(0.447)
 21.130(0.311)1.091(0.189)1.041(0.160)0.954(0.166)0.907(0.168)1.179(0.225)
  2.320(0.865)2.226(0.497)2.124(0.394)2.089(0.415)2.042(0.397)2.317(0.573)
 31.370(0.625)1.268(0.337)1.203(0.270)1.113(0.254)1.059(0.237)1.368(0.419)
  2.684(1.630)2.491(0.824)2.362(0.616)2.335(0.645)2.282(0.596)2.593(0.970)
(100,25)11.010(0.147)1.003(0.114)0.976(0.106)0.924(0.112)0.897(0.115)1.055(0.122)
  2.001(0.305)1.990(0.239)1.937(0.184)1.910(0.233)1.883(0.234)2.043(0.250)
 21.055(0.157)1.042(0.118)1.013(0.107)0.958(0.115)0.929(0.118)1.098(0.131)
  2.165(0.372)2.134(0.274)2.074(0.236)2.050(0.243)2.021(0.236)2.190(0.303)
 31.275(0.315)1.230(0.223)1.189(0.190)1.132(0.176)1.099(0.165)1.293(0.264)
  2.522(0.858)2.434(0.593)2.355(0.485)2.336(0.494)2.304(0.465)2.499(0.670)