Inference on Positive Exponential Family of Distributions (PEFD) through Transformation Method
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Published:2021-01-03
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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,Singh Vaidehi
Abstract
The estimation of R(t) and R = Pr(Y > X) for the Positive Exponential Family of Distribution(PEFD) is considered. The UMVUE's, MLE's and Confidence Interval are derived.These estimators are derived through the method of Transformation. The α = P(X > γ),which is termed as probability of disaster is also derived when random stress X follows PEFDand finite strength follows Power function distribution.
Publisher
River Publishers