RETRACTED: Statistical Inferences of Burr XII Lifetime Models under Joint Type-1 Competing Risks Samples (Retracted Article)

被引:16
作者
Abushal, Tahani A. [1 ]
Soliman, A. A. [2 ]
Abd-Elmougod, G. A. [3 ]
机构
[1] Umm AL Qura Univ, Fac Sci Appl, Dept Math Sci, Mecca, Saudi Arabia
[2] Sohag Univ, Dept Math, Sohag, Egypt
[3] Damanhour Univ, Dept Math, Fac Sci, Damanhour, Egypt
关键词
EXACT LIKELIHOOD INFERENCE; 2 EXPONENTIAL POPULATIONS; STEP-STRESS MODEL; TESTS;
D O I
10.1155/2021/9553617
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The problem of statistical inference under joint censoring samples has received considerable attention in the past few years. In this paper, we adopted this problem when units under the test fail with different causes of failure which is known by the competing risks model. The model is formulated under consideration that only two independent causes of failure and the unit are collected from two lines of production and its life distributed with Burr XII lifetime distribution. So, under Type-I joint competing risks samples, we obtained the maximum likelihood (ML) and Bayes estimators. Interval estimation is discussed through asymptotic confidence interval, bootstrap confidence intervals, and Bayes credible interval. The numerical computations which described the quality of theoretical results are discussed in the forms of real data analyzed and Monte Carlo simulation study. Finally, numerical results are discussed and listed through some points as a brief comment.
引用
收藏
页数:16
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