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

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 estimat...

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Bibliographic Details
Published in:Strength of materials 2017-03, Vol.49 (2), p.292-306
Main Author: Ismail, Ali A.
Format: Article
Language:English
Subjects:
Accelerated life tests
Accelerated tests
Analysis
Censorship
Characterization and Evaluation of Materials
Chemistry and Materials Science
Classical Mechanics
Computer simulation
Confidence intervals
Design parameters
Estimating techniques
Estimators
Materials Science
Mathematical models
Maximum likelihood estimators
Monte Carlo simulation
Optimization
Parameter estimation
Rayleigh distribution
Solid Mechanics
Statistical inference
Stress (Psychology)
Stress concentration
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Summary: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.
ISSN:0039-2316
1573-9325
DOI:10.1007/s11223-017-9869-1