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2012•Journal of Kufa for Mathematics and ComputerOpen access

On Jeffery Prior Distribution in Modified Double Stage Shrinkage-Bayesian Estimator for Exponential Mean

A. Salman, Assel Hussein Ali, Maha A. Mohammed

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Abstract

This paper is concerned with Modified Double Stage Shrinkage Bayesian (DSSB) Estimator for lowering the mean squared error of classical estimator for the scale parameter (q) of an Exponential Distribution in suitable region (R) around available prior knowledge (q0) about the actual value (q) as initial estimate as well as to reduce the cost of observation. In situation where the observations are time consuming or very costly, a “Double Stage procedure “can be used to reduce the Expected Sample Size needed to obtain the estimator. This estimator has been showing a smaller Mean Squared Error for certain choice of the shrinkage weight factor y(×) and for acceptance region R.Expressions for Bias, Mean Square Error (MSE), Expected sample size [E(n/q,R)],

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What this paper is about

This paper is concerned with Modified Double Stage Shrinkage Bayesian (DSSB) Estimator for lowering the mean squared error of classical estimator for the scale parameter (q) of an Exponential Distribution in suitable region (R) around available prior knowledge (q0) about the actual value (q) as initial estimate as well as to reduce the cost of observation. In situation where the observations are time consuming or very costly, a “Double Stage procedure “can be used to reduce the Expected Sample Size needed to obtain the estimator. This estimator has been showing a smaller Mean Squared Error for certain choice of the shrinkage weight factor y(×) and for acceptance region R.Expressions for Bias, Mean Square Error (MSE), Expected sample size [E(n/q,R)],

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Available abstract

This paper is concerned with Modified Double Stage Shrinkage Bayesian (DSSB) Estimator for lowering the mean squared error of classical estimator for the scale parameter (q) of an Exponential Distribution in suitable region (R) around available prior knowledge (q0) about the actual value (q) as initial estimate as well as to reduce the cost of observation. In situation where the observations are time consuming or very costly, a “Double Stage procedure “can be used to reduce the Expected Sample Size needed to obtain the estimator. This estimator has been showing a smaller Mean Squared Error for certain choice of the shrinkage weight factor y(×) and for acceptance region R.Expressions for Bias, Mean Square Error (MSE), Expected sample size [E(n/q,R)],

Key concepts: Shrinkage estimator, Mean squared error, Mathematics, Estimator, Statistics, Bayes estimator, Shrinkage, Bias of an estimator

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