Istatistik, Volume (6), No (3), Year (2013-12) , Pages (92-102)

Title : ( Stress-strength reliability for P(X_(r:n_1) < Y_(k:n_2)) in the exponential case )

Authors: zohreh pakdaman , Jafar Ahmadi ,

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Abstract

This paper deals with the estimation problem of the multicomponent stress-strength reliability‎ ‎parameter when stress‎, ‎strength variates are given by two independent one-parameter exponential‎ ‎distributions with different parameters‎. ‎It is assumed that‎ ‎$Y_{1},\\ldots,Y_{n_{2}}$ are the random strengths of‎ ‎$n_{2}$ components subjected to random stresses‎ ‎$X_{1},\\ldots,X_{n_{1}}$‎. ‎Our study is concentrated on‎ ‎the probability$P(X_{r:n_1}<Y_{k:n_2})$ and the problem of frequentist and Bayesian estimation of $P(X_{r:n_1}<Y_{k:n_2})$‎ ‎based on $X$‎-‎ and $‎Y‎$‎-‎‎‎samples are‎ ‎discussed‎. ‎Some special cases are considered and the small sample comparison of the reliability estimates is made‎ ‎through Monte Carlo simulation‎.

Keywords

, Stress-strength reliability‎, ‎Squared error‎ ‎loss function‎, ‎Uniformly minimum variance unbiased estimator‎, ‎Maximum likelihood estimator‎, ‎Parallel and series systems.
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@article{paperid:1037245,
author = {Pakdaman, Zohreh and Ahmadi, Jafar},
title = {Stress-strength reliability for P(X_(r:n_1) < Y_(k:n_2)) in the exponential case},
journal = {Istatistik},
year = {2013},
volume = {6},
number = {3},
month = {December},
issn = {1300-4077},
pages = {92--102},
numpages = {10},
keywords = {Stress-strength reliability‎; ‎Squared error‎ ‎loss function‎; ‎Uniformly minimum variance unbiased estimator‎; ‎Maximum likelihood estimator‎; ‎Parallel and series systems.},
}

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%0 Journal Article
%T Stress-strength reliability for P(X_(r:n_1) < Y_(k:n_2)) in the exponential case
%A Pakdaman, Zohreh
%A Ahmadi, Jafar
%J Istatistik
%@ 1300-4077
%D 2013

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