Estimation in Step-Stress Accelerated Life Tests for Weibull Distribution with Progressive First-Failure Censoring

Authors

M. M. Mohie El-Din, Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt
S. E. Abu-Youssef
Nahed S. A. Aly
A. M. Abd El-Raheem

Author Country (or Countries)

Egypt

Abstract

Based on progressive first-failure censoring, step-stress partially accelerated life tests are considered when the lifetime of a product follows Weibull distribution. The maximum likelihood estimates (MLEs) are obtained for the distribution parameters and the acceleration factor. In addition, asymptotic variance and covariance matrix of the estimators are given. Furthermore, confidence intervals of the estimators are presented. The optimal stress change time for the step-stress partially accelerated life test is determined by minimizing the asymptotic variance of MLEs of the model parameters and the acceleration factor. Simulation results are carried out to study the precision of the MLEs for the parameters involved.

Suggested Reviewers

N/A

Recommended Citation

M. Mohie El-Din, M.; E. Abu-Youssef, S.; S. A. Aly, Nahed; and M. Abd El-Raheem, A. (2014) "Estimation in Step-Stress Accelerated Life Tests for Weibull Distribution with Progressive First-Failure Censoring," Journal of Statistics Applications & Probability: Vol. 3: Iss. 3, Article 11.
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol3/iss3/11