Statistical inference for the Burr model based on progressively censored data

被引：78

作者：

Mousa, MAMA ^{[1
]}

Jaheen, ZF ^{[1
]}

机构：

[1] Assiut Univ, Dept Math, Assiut 71516, Egypt

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2002年 / 43卷 / 10-11期

关键词：

Burr type XII distribution; Bayesian estimation; progressive samples; Laplace approximation; Monte Carlo simulation;

D O I：

10.1016/S0898-1221(02)00110-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Maximum likelihood and Bayes estimates for the two parameters and the reliability function of the Burr Type XII distribution are obtained based on progressive Type II censored samples. An approximation based on the Laplace approximation method developed by Tierney and Kadane [1] and a bivariate prior density for the two unknown parameters, suggested by Al-Hussaini and Jaheen [2] are used for obtaining the Bayes estimates. These estimates are compared via Monte Carlo simulation study. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1441 / 1449

页数：9

共 50 条

[41] Bayesian statistical inference of the loglogistic model with interval-censored lifetime data
Guure, Chris Bambey
Ibrahim, Noor Akma
Dwomoh, Duah
Bosomprah, Samuel
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2015, 85 (08) : 1567 - 1583
[42] Inference with progressively censored k-out-of-n system lifetime data
M. Hermanns
E. Cramer
[J]. TEST, 2018, 27 : 787 - 810
[43] Statistical inference under joint type-II censored data from two Burr-XII populations
Bargoshadi, Soheila Akbari
Bevrani, Hossein
Belaghi, Reza Arabi
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2023,
[44] Exact inference for progressively Type-I censored exponential failure data
Balakrishnan, N.
Han, Donghoon
Iliopoulos, G.
[J]. METRIKA, 2011, 73 (03) : 335 - 358
[45] Exact inference for progressively Type-I censored exponential failure data
N. Balakrishnan
Donghoon Han
G. Iliopoulos
[J]. Metrika, 2011, 73 : 335 - 358
[46] Inference with progressively censored k-out-of-n system lifetime data
Hermanns, M.
Cramer, E.
[J]. TEST, 2018, 27 (04) : 787 - 810
[47] Bayesian prediction for the Burr type XII model based on doubly censored data
AliMousa, MAM
Jaheen, ZF
[J]. STATISTICS, 1997, 29 (03) : 285 - 294
[48] Statistical inference for discrete middle-censored data
Davarzani, Nasser
Parsian, Ahmad
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2011, 141 (04) : 1455 - 1462
[49] Assessing the lifetime performance index of products from progressively type II right censored data using Burr XII model
Lee, Wen-Chuan
Wu, Jong-Wuu
Hong, Ching-Wen
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 79 (07) : 2167 - 2179
[50] Inference for constant-stress accelerated life test with Type-I progressively hybrid censored data from Burr-XII distribution
Zhao, Jiao
Shi, Yimin
Yan, Weian
[J]. JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2014, 25 (02) : 340 - 348

← 1 2 3 4 5 →