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2009•Unpublished venueRequires access

Comparison of Bayes Estimators of the Parameter and Reliability Function for Rayleigh Distribution under Different Loss Functions

Sanku Dey

Open publisher page 28 citations

Abstract

In this paper we derive Bayes’ estimators for the parameter and reliability function of the Rayleigh distribution. These estimators are obtained on the basis of squared error loss function and LINEX loss function. Comparisons in terms of risks of those under linex loss and squared error loss functions with Bayes estimators relative to squared error loss function have been made. Finally, numerical study is given to illustrate the results.

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What this paper is about

In this paper we derive Bayes’ estimators for the parameter and reliability function of the Rayleigh distribution. These estimators are obtained on the basis of squared error loss function and LINEX loss function. Comparisons in terms of risks of those under linex loss and squared error loss functions with Bayes estimators relative to squared error loss function have been made. Finally, numerical study is given to illustrate the results.

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OpenAlex reports 28 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper we derive Bayes’ estimators for the parameter and reliability function of the Rayleigh distribution. These estimators are obtained on the basis of squared error loss function and LINEX loss function. Comparisons in terms of risks of those under linex loss and squared error loss functions with Bayes estimators relative to squared error loss function have been made. Finally, numerical study is given to illustrate the results.

Key concepts: Estimator, Mean squared error, Bayes' theorem, Rayleigh distribution, Mathematics, Statistics, Function (biology), Reliability (semiconductor)

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