Study on Step-Stress Accelerated Life Testing for The Burr-XII Distribution Using Cumulative Exposure Model Under Progressive Type-II Censoring with Real Data Example

Authors

Fathy H. Riad, Department of Mathematics, Faculty of Science, Minia University, Egypt\\ Department of Mathematics, College of Science, Jouf University P. O.Box 2014, Sakaka, Saudi Arabia
E. H.Hafez
Sh. A. M. Mubarak

Author Country (or Countries)

Saudi Arabia

Abstract

A simple step-stress accelerated life test (ALT) under progressive censoring of Type-II is considered in this paper. To minimize lifespan and decrease test cost, progressive type-II censoring and accelerated life testing are given. When the lifetime of test units matches the distribution of Burr-XII, cumulative exposure model is assumed. Also, model parameters maximum likelihood estimates (MLEs) are obtained. Furthermore, to demonstrate the proposed methods, actual dataset is analyzed. Lastly, estimators estimated confidence intervals (CIs) are extracted.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/100104

Recommended Citation

H. Riad, Fathy; H.Hafez, E.; and A. M. Mubarak, Sh. (2021) "Study on Step-Stress Accelerated Life Testing for The Burr-XII Distribution Using Cumulative Exposure Model Under Progressive Type-II Censoring with Real Data Example," Journal of Statistics Applications & Probability: Vol. 10: Iss. 1, Article 4.
DOI: http://dx.doi.org/10.18576/jsap/100104
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol10/iss1/4