Estimation in Step-Stress Partially Accelerated Life Tests for the Chen Distribution Using Progressive Type-II Censoring

Authors

A. A. Soliman, Faculty of Science, Islamic University, Madinah, KSAFollow
G. A. Abd-Elmougod, Faculty of Science, Taif University, Taif, KSA.Follow
M. M. Al- Sobhi, Faculty of Applied Science, Umm Al-Qura University, Makkah, KSAFollow

Author Country (or Countries)

KSA

Abstract

In this paper, step-stress partially accelerated life tests (SS-PALT) are considered when the lifetime of a product follows a two-parameter bathtub-shaped lifetime distribution (Chen distribution). Based on progressive Type-II censoring, the maximum likelihood estimates (MLEs) are obtained for the distribution parameters and acceleration factor. In addition, asymptotic variance and covariance matrix of the estimators are given. Approximate confidence intervals (CIs) for the parameters based on normal approximation to the asymptotic distribution of the MLEs and the bootstrap (CIs) are derived. An iterative procedure is used to obtain the estimators numerically using (Mathematica Package). A numerical example is presented to illustrate the method of estimation developed here. Finally, a Monte Carlo simulation study is performed to investigate the precision of the MLEs and to compare the CIs considered.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110139

Recommended Citation

A. Soliman, A.; A. Abd-Elmougod, G.; and M. Al- Sobhi, M. (2017) "Estimation in Step-Stress Partially Accelerated Life Tests for the Chen Distribution Using Progressive Type-II Censoring," Applied Mathematics & Information Sciences: Vol. 11: Iss. 1, Article 39.
DOI: http://dx.doi.org/10.18576/amis/110139
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss1/39