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

Authors :
Saad J. Almalki
Al-Wageh A. Farghal
Manoj K. Rastogi
Gamal. A. Abd-Elmougod
Source :
Alexandria Engineering Journal, Vol 61, Iss 7, Pp 5133-5143 (2022)
Publication Year :
2022
Publisher :
Elsevier, 2022.

Abstract

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.

Details

Language :
English
ISSN :
11100168
Volume :
61
Issue :
7
Database :
Directory of Open Access Journals
Journal :
Alexandria Engineering Journal
Publication Type :
Academic Journal
Accession number :
edsdoj.884560f2c72c41a7ac890e3f554cbfb7
Document Type :
article
Full Text :
https://doi.org/10.1016/j.aej.2021.10.035