Partially constant-stress accelerated life tests model for parameters estimation of Kumaraswamy distribution under adaptive Type-II progressive censoring

被引:10
|
作者
Almalki, Saad J. [1 ]
Farghal, Al-Wageh A. [2 ]
Rastogi, Manoj K. [3 ]
Adb-Elmougod, Gamal. A. [4 ]
机构
[1] Taif Univ, Fac Sci, Math Dept, At Taif, Saudi Arabia
[2] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt
[3] Patna Univ, Dept Stat, Patna, Bihar, India
[4] Damanhour Univ, Fac Sci, Math Dept, Damanhour, Egypt
关键词
Kumaraswamy distribution; Accelerated life tests; Adaptive Type-II progressive censoring; Maximum-likelihood estima-tion; Bayesian estimation; MCMC; PROBABILITY DENSITY-FUNCTION; STATISTICAL-ANALYSIS; STEP; YIELD; RELIABILITY; SYSTEMS; DESIGN; PLANS;
D O I
10.1016/j.aej.2021.10.035
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In a life testing experiments, accelerated life tests (ALTs) model has provided a significant decrease for the cost and time. The problem of statistical inference of constant-stress ALTs based on censored data is discussed in this paper. So, we implement partially constant-stress ALTs model to test units have two parameter Kumaraswamy lifetime population under adaptive Type-II progressive censoring scheme. The population parameters as well as acceleration factor are estimated by using maximum likelihood method for point and interval estimation. Two different confidence intervals are obtained under bootstrap technique. Also, Bayesian approach under different loss functions is used to contract the point and interval estimates of the model parameters with the help of Markov chain Monte Carlo method (MCMC). For illustrative purpose a simulate data set are analyzed. Different developed results discussed in this paper are compared through Monte Carlo simulation study. (c) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
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页码:5133 / 5143
页数:11
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