Inference for a Progressive-Stress Model Based on Ordered Ranked Set Sampling under Type-II Censoring

Atef F. Hashem, Salem A. Alyami and Alaa H. Abdel-Hamid
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Atef F. Hashem: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
Salem A. Alyami: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
Alaa H. Abdel-Hamid: Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef 62521, Egypt

Mathematics, 2022, vol. 10, issue 15, 1-23

Abstract: The progressive-stress accelerated life test is discussed under the ordered ranked set sampling procedure. It is assumed that the lifetime of an item under use stress is exponentially distributed and the law of inverse power is considered as the relationship between the scale parameter and the applied stress. The involved parameters are estimated using the Bayesian technique, under symmetric and asymmetric loss functions, based on ordered ranked set samples and simple random samples subject to type-II censoring. Real and simulated data sets are used to illustrate the theoretical results presented in this paper. Finally, a simulation study followed by numerical calculations is performed to evaluate the Bayesian estimation performance based on the two sampling types.

Keywords: progressive-stress model; ordered ranked set sampling; type-II censoring; Bayesian estimation; symmetric and asymmetric loss functions; exponential distribution; simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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