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Bayes Estimators of the Reliability Performance for Cold Standby Series System Based on Progressively Type-IICensored Tests

Li Ling

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Abstract

The Bayes estimator of the reliability performance for cold standby series system are derived under the progressively type-Ⅱcensored san,pies.Bayes estimators are obtained by using squared error (SE),LINEX and the general entropy loss function.With respect to the value of the unknown hyper- parameter,a new method is given to estimate the hyper-parameter value.At last.some numerical results are presented by using Monte-Carlo simulation.

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What this paper is about

The Bayes estimator of the reliability performance for cold standby series system are derived under the progressively type-Ⅱcensored san,pies.Bayes estimators are obtained by using squared error (SE),LINEX and the general entropy loss function.With respect to the value of the unknown hyper- parameter,a new method is given to estimate the hyper-parameter value.At last.some numerical results are presented by using Monte-Carlo simulation.

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Available abstract

The Bayes estimator of the reliability performance for cold standby series system are derived under the progressively type-Ⅱcensored san,pies.Bayes estimators are obtained by using squared error (SE),LINEX and the general entropy loss function.With respect to the value of the unknown hyper- parameter,a new method is given to estimate the hyper-parameter value.At last.some numerical results are presented by using Monte-Carlo simulation.

Key concepts: Estimator, Bayes' theorem, Mathematics, Series (stratigraphy), Statistics, Reliability (semiconductor), Monte Carlo method, Mean squared error

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