Estimation R=Pr(Y>X) for a Family of Lifetime Distributions by Transformation Method
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Published:2021-08-23
Issue:
Volume:
Page:
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ISSN:2229-5666
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Container-title:Journal of Reliability and Statistical Studies
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language:
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Short-container-title:JRSS
Author:
Kumar Surinder,Gautam Prem Lata
Abstract
For a Family of lifetime distributions proposed by Chaturvedi and Singh (2008) [6]. The problem of estimating R(t) = P(X > t), which is dened as the probability that a system survives until time t and R = P(Y > X), which represents the stress-strength model are revisited. In order to obtain the maximum likelihood estimators (MLE'S), uniformly minimum variance unbiased estimators (UMVUS'S), interval estimators and the Bayes estimators for the considered model. The technique of transformation method is used.
Publisher
River Publishers
Subject
Numerical Analysis,Statistics and Probability,Analysis