Estimation of reliability based on exponential distribution and ranked set sample.

Sukuman Sarikavanij; Montip Tiensuwan; Sinha Bimal

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Estimation of reliability based on exponential distribution and ranked set sample.

Author(s)

Sukuman Sarikavanij Department of Mathematics and Statistics, University of Maryland, Baltimore County, USA. Department of Mathematics, Mahidol University, Bangkok, Thailand

Montip Tiensuwan Department of Mathematics Mahidol University, Bangkok, Thailand

Sinha Bimal Department of Mathematics and Statistics, University of Maryland, Baltimore County, USA

Abstract

Assume X (strength) ~(1//θ1)e -x/θ1,x>0, θ1>0, independent of Y (stress) ~(1//θ2)e -y/θ2 , Y > 0 , θ2 > 0. In this paper we consider the problem of estimation of the reliability R(θ1,θ2)= P(X > Y) was considered. Both simple random sample (SRS) and ranked set sample (RSS), and was considered several estimates of R along with their comparisons was provided.

Publication Details

Page(s) 31-36

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 20, Issue: 1, Year: 2004

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