Journal
COMPUTATIONAL STATISTICS & DATA ANALYSIS
Volume 55, Issue 2, Pages 964-972Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.csda.2010.07.027
Keywords
Truncated Poisson distribution; Series system; Random sample size; Asymptotic and bootstrap confidence intervals; Simulation study
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In this paper, we are interested in the estimation of the reliability coefficient R = P(X > Y), when the data on the minimum of two exponential samples, with random sample size, are available. The confidence intervals of R, based on maximum likelihood and bootstrap methods, are developed. The performance of these confidence intervals is studied through extensive simulation. A numerical example, based on a real data, is presented to illustrate the implementation of the proposed procedure. (C) 2010 Elsevier B.V. All rights reserved.
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