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Estimation and comparison of the stress-strength models with more than two states under Weibull distribution and type II censoring scheme
Authors:Ajit Chaturvedi
Institution:Department of Statistics, University of Delhi, Delhi, India
Abstract:This paper presents the extension of the inferences on the stress-strength reliability in more than two states to the system depending on the ratio of the strength and stress values when the stress and strength follow independent exponential distributions. The main objective of present paper is to consider different method of estimation, under Type II censoring, for the stress-strength models and to compare them, in more than two states, to the system depending on the ratio of the strength and stress values, when the stress and strength follow independent Weibull distributions, sharing the common shape parameter α.
Keywords:Maximum likelihood estimator  Multi-state system  Stress-strength reliability  Type II censoring  Uniformly minimum variance unbiased estimator  Weibull distribution
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