Stress-strength reliability of exponentiated Fréchet distributions based on Type-II censored data |
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Authors: | Hossein Nadeb Hamzeh Torabi |
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Institution: | Department of Statistics, Yazd University, Yazd, Iran |
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Abstract: | In this paper, we consider inference of the stress-strength parameter, R, based on two independent Type-II censored samples from exponentiated Fréchet populations with different index parameters. The maximum likelihood and uniformly minimum variance unbiased estimators, exact and asymptotic confidence intervals and hypotheses testing for R are obtained. We conduct a Monte Carlo simulation study to evaluate the performance of these estimators and confidence intervals. Finally, two real data sets are analysed for illustrative purposes. |
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Keywords: | Stress-strength Type-II censoring point estimation confidence interval hypothesis testing Monte Carlo simulation |
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