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.
@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.},
}
%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
