Estimation in K-Stage Step-Stress Partially Accelerated Life Tests for Generalized Pareto Distribution with Progressive Type-I Censoring

Authors

Rashad M. EL-Sagheer, Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, EgyptFollow
Moaiad A. A. Khder, College of Arts and Science, Applied Science University (ASU), East Al Ekir, Manama, Kingdom of BahrainFollow

Author Country (or Countries)

Egypt

Abstract

This article discusses k-stage step-stress partially accelerated life test under Type-I progressive interval censoring with equal inspection intervals of length. The maximum likelihood and parametric bootstrap methods are used to obtain the estimators of the model parameters. Approximate confidence intervals for the unknown parameters are constructed based on the asymptotic variances when the lifetime of a testing unit are assumed to be generalized Pareto distribution. The methods for obtaining the optimal are investigated using the variance-optimality and determinant-optimality criteria. Monte Carlo simulation studies are addressed to illustrate the proposed criteria.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150307

Recommended Citation

M. EL-Sagheer, Rashad and A. A. Khder, Moaiad (2021) "Estimation in K-Stage Step-Stress Partially Accelerated Life Tests for Generalized Pareto Distribution with Progressive Type-I Censoring," Applied Mathematics & Information Sciences: Vol. 15: Iss. 3, Article 7.
DOI: http://dx.doi.org/10.18576/amis/150307
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss3/7