Stress-strength reliability of Weibull distribution based on progressively censored samples

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Document typeArticle
Defense date2011
PublisherInstitut d'Estadística de Catalunya
Rights accessOpen Access
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Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
Based on progressively Type-II censored samples, this pape
r deals with inference for the stress-
strength reliability
R
=
P
(
Y
<
X
) when
X
and
Y
are two independent Weibull distributions with
different scale parameters, but having the same shape param
eter. The maximum likelihood esti-
mator, and the approximate maximum likelihood estimator of
R
are obtained. Different confidence
intervals are presented. The Bayes estimator of
R
and the corresponding credible interval using
the Gibbs sampling technique are also proposed. Further, we
consider the estimation of
R
when
the same shape parameter is known. The results for exponenti
al and Rayleigh distributions can
be obtained as special cases with different scale parameter
s. Analysis of a real data set as well a
Monte Carlo simulation have been presented for illustrativ
e purposes.
CitationAsgharzadeh, Akbar; Valiollahi, Reza; Raqab, Mohammad Z. Stress-strength reliability of Weibull distribution based on progressively censored samples. "SORT", vol. 35, núm. 2, p. 103-124.
ISSN1696-2281
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