Estimation and testing procedures for the reliability functions of a general class of distributions

Ajit Chaturvedi and Taruna Kumari

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 22, 11370-11382

Abstract: We consider here the general class of distributions proposed by Sankaran and Gupta (2005) by zeroing in on two measures of reliability, R(t) = P(X > t) and P = P(X > Y). Thereafter, we develop point estimation for R(t) and ‘P’ and develop uniformly minimum variance unbiased estimators (UMVUES). Then we derive testing procedures for the hypotheses related to different parametric functions. Finally, we compare the results using the Monte Carlo simulation method. Using real data set, we illustrate the procedure clearly.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:46:y:2017:i:22:p:11370-11382

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DOI: 10.1080/03610926.2016.1267765

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