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American Journal of Applied Mathematics and Statistics. 2019, 7(5), 171-177
DOI: 10.12691/AJAMS-7-5-3
Original Research

Optimal Design of Step Stress Partially Accelerated Life Test under Progressive Type-II Censored Data with Random Removal for Inverse Lomax Distribution

Yasser M. Amer1, and Rania M. Shalabi2

1Cairo Higher Institutes, Mokattam, Cairo, Egypt

2The Higher Institute of Managerial Science, Culture and Science City, 6th of October, Egypt

Pub. Date: November 08, 2019
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Cite this paper

Yasser M. Amer and Rania M. Shalabi. Optimal Design of Step Stress Partially Accelerated Life Test under Progressive Type-II Censored Data with Random Removal for Inverse Lomax Distribution. American Journal of Applied Mathematics and Statistics. 2019; 7(5):171-177. doi: 10.12691/AJAMS-7-5-3

Abstract

Step Stress-Partially Accelerated Life Test SS-PALT under Type-II progressive censoring with Binomial or uniform removal assuming Inverse Lomax distribution has been presented. A comparison between both removals is shown. The Newton-Raphson method is applied to obtain maximum likelihood estimators MLE of the parameters and the optimal stress-change time which minimizes the generalized asymptotic variance. A simulation study is performed to illustrate the statistical properties of the parameters.

Keywords

Partially accelerated life test, Binominal distribution, uniform distribution, Inverse Lomax distribution, optimal design, D-optimality, Monte Carlo Simulation

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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