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Erschienen in: Strength of Materials 2/2017

06.07.2017

Planning Step-Stress Life Tests for the Generalized Rayleigh Distribution Under Progressive Type-II Censoring with Binomial Removals

verfasst von: Ali A. Ismail

Erschienen in: Strength of Materials | Ausgabe 2/2017

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Abstract

In this article both the parameter estimation and optimal design problems of step-stress partially accelerated life test units whose lifetimes follow the generalized Rayleigh distribution are considered under progressive type-II censoring scheme with binomial removals. The maximum likelihood estimators of the scale and shape parameters as well as the acceleration factor are obtained. The concert of the estimators is assessed. In addition, approximate confidence intervals of the model parameters are constructed and their coverage probabilities are computed. Moreover, optimum test plans are also developed to improve/guarantee the quality of the statistical inference. Finally, simulation studies and a numerical example are provided for illustrative purposes.

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Metadaten
Titel
Planning Step-Stress Life Tests for the Generalized Rayleigh Distribution Under Progressive Type-II Censoring with Binomial Removals
verfasst von
Ali A. Ismail
Publikationsdatum
06.07.2017
Verlag
Springer US
Erschienen in
Strength of Materials / Ausgabe 2/2017
Print ISSN: 0039-2316
Elektronische ISSN: 1573-9325
DOI
https://doi.org/10.1007/s11223-017-9869-1

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