Bayesian reliability analysis when multiple early failures may be present.

Samir K. Bhattacharya; Ravinder K. Tyagi

Trabajos de Estadística (1991)

  • Volume: 6, Issue: 1, page 17-26
  • ISSN: 0213-8190

Abstract

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This paper discusses the Bayesian reliability analysis for an exponential failure mode on the basis of some ordered observations when the first p observations may represent early failures or outliers. The Bayes estimators of the mean life and reliability are obtained for the underlying parametric model referred to as the SB(p) model under the assumption of the squared error loss function, the inverted gamma prior for scale parameter and a generalized uniform prior for the nuisance parameter.

How to cite

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Bhattacharya, Samir K., and Tyagi, Ravinder K.. "Bayesian reliability analysis when multiple early failures may be present.." Trabajos de Estadística 6.1 (1991): 17-26. <http://eudml.org/doc/40548>.

@article{Bhattacharya1991,
abstract = {This paper discusses the Bayesian reliability analysis for an exponential failure mode on the basis of some ordered observations when the first p observations may represent early failures or outliers. The Bayes estimators of the mean life and reliability are obtained for the underlying parametric model referred to as the SB(p) model under the assumption of the squared error loss function, the inverted gamma prior for scale parameter and a generalized uniform prior for the nuisance parameter.},
author = {Bhattacharya, Samir K., Tyagi, Ravinder K.},
journal = {Trabajos de Estadística},
keywords = {Análisis bayesiano; Fiabilidad; Datos atípicos; exchangeable model; Gauss hypergeometric function; labelled slippage model; pretest estimator; Bayes reliability analysis; exponential failure model; ordered observations; early failures; outliers; mean life; model; squared error loss; inverted gamma prior; scale parameter; generalized uniform prior; nuisance parameter},
language = {eng},
number = {1},
pages = {17-26},
title = {Bayesian reliability analysis when multiple early failures may be present.},
url = {http://eudml.org/doc/40548},
volume = {6},
year = {1991},
}

TY - JOUR
AU - Bhattacharya, Samir K.
AU - Tyagi, Ravinder K.
TI - Bayesian reliability analysis when multiple early failures may be present.
JO - Trabajos de Estadística
PY - 1991
VL - 6
IS - 1
SP - 17
EP - 26
AB - This paper discusses the Bayesian reliability analysis for an exponential failure mode on the basis of some ordered observations when the first p observations may represent early failures or outliers. The Bayes estimators of the mean life and reliability are obtained for the underlying parametric model referred to as the SB(p) model under the assumption of the squared error loss function, the inverted gamma prior for scale parameter and a generalized uniform prior for the nuisance parameter.
LA - eng
KW - Análisis bayesiano; Fiabilidad; Datos atípicos; exchangeable model; Gauss hypergeometric function; labelled slippage model; pretest estimator; Bayes reliability analysis; exponential failure model; ordered observations; early failures; outliers; mean life; model; squared error loss; inverted gamma prior; scale parameter; generalized uniform prior; nuisance parameter
UR - http://eudml.org/doc/40548
ER -

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