Inference for the poly-Weibull model

被引:19
|
作者
Davison, AC [1 ]
Louzada-Neto, F
机构
[1] Swiss Fed Inst Technol, Dept Math, CH-1015 Lausanne, Switzerland
[2] Univ Fed Sao Carlos, BR-13560 Sao Carlos, SP, Brazil
关键词
Bayesian bootstrap; bi-Weibull distribution; competing risks; identifiability; Laplace approximation; likelihood; sampling-importance resampling;
D O I
10.1111/1467-9884.00229
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We consider inference for the poly-Weibull model, which arises in competing risk scenarios when the risks have independent Weibull distributions and it is not known which is responsible for the failure. Real and generated data sets illustrate our approaches to inference, which in addition to standard likelihood methods include Bayesian inference by Laplace's method for analytical approximation of integrals and sampling-importance resampling.
引用
收藏
页码:189 / 196
页数:8
相关论文
共 50 条
  • [41] STATISTICAL INFERENCE FROM CENSORED WEIBULL SAMPLES
    BILLMANN, BR
    BAIN, LJ
    ANTLE, CE
    TECHNOMETRICS, 1972, 14 (04) : 831 - &
  • [42] Bayesian inference for the randomly censored Weibull distribution
    Danish, Muhammad Yameen
    Aslam, Muhammad
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2014, 84 (01) : 215 - 230
  • [43] BAYES-FIDUCIAL INFERENCE FOR WEIBULL DISTRIBUTION
    BOGDANOF.DA
    PIERCE, DA
    ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (03): : 1151 - &
  • [44] Inference for the Weibull distribution with progressive hybrid censoring
    Lin, Chien-Tai
    Chou, Cheng-Chieh
    Huang, Yen-Lung
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2012, 56 (03) : 451 - 467
  • [45] Inference for the Weibull Distribution Based on Fuzzy Data
    Pak, Abbas
    Parham, Gholam Ali
    Saraj, Mansour
    REVISTA COLOMBIANA DE ESTADISTICA, 2013, 36 (02): : 339 - 358
  • [46] Inference on the parameters of the Weibull distribution using records
    Jafari, Ali Akbar
    Zakerzadeh, Hojatollah
    SORT, 2015, 39 (01): : 3 - 17
  • [47] Inference on the parameters of the Weibull distribution using records
    Jafari, Ah Akbar
    Zakerzadeh, Hojatollah
    SORT-STATISTICS AND OPERATIONS RESEARCH TRANSACTIONS, 2015, 39 (01) : 3 - 17
  • [48] Third-order inference for the Weibull distribution
    Rekkas, M
    Wong, A
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2005, 49 (02) : 499 - 525
  • [49] A Bivariate Extension to Exponentiated Inverse Flexible Weibull Distribution: Shock Model, Features, and Inference to Model Asymmetric Data
    El-Morshedy, Mahmoud
    Eliwa, Mohamed S. S.
    Tahir, Muhammad H. H.
    Alizadeh, Morad
    El-Desokey, Rana
    Al-Bossly, Afrah
    Alqifari, Hana
    SYMMETRY-BASEL, 2023, 15 (02):
  • [50] Inference on Reliability of Stress-Strength Model with Peng-Yan Extended Weibull Distributions
    Jovanovic, Milan
    Milosevic, Bojana
    Obradovic, Marko
    Vidovic, Zoran
    FILOMAT, 2021, 35 (06) : 1927 - 1948