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McKenzie, D., Miller, C. Falk, DA., 2011, The Landscape ecology of fire. Springer, New York.

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

1Cairo Higher Institutes, Mokattam, Cairo, Egypt

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


American Journal of Applied Mathematics and Statistics. 2019, Vol. 7 No. 5, 171-177
DOI: 10.12691/ajams-7-5-3
Copyright © 2019 Science and Education Publishing

Cite this paper:
Yasser M. Amer, 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.

Correspondence to: Yasser  M. Amer, Cairo Higher Institutes, Mokattam, Cairo, Egypt. Email: yasseramer4@yahoo.com

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.

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