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On Jeffery Prior Distribution in Modified Double Stage Shrinkage-Bayesian Estimator for Exponential Mean | ||
| Journal of Kufa for Mathematics and Computer | ||
| Article 1, Volume 1, Issue 6, 2013, Pages 29-41 | ||
| Authors | ||
| Abbas Najim Salman; Assel Hussein Ali; Maha A. Mohammed | ||
| Abstract | ||
| This paper is concerned with Modified Double Stage Shrinkage Bayesian (DSSB) Estimator for lowering the mean squared error of classical estimator ˆq 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)], Expected sample size proportion [E(n/q,R)/n], probability for avoiding the second sample 1 [p(qˆ Î R)] and percentage of overall sample saved 2 1 n ˆ [ p( R) 100] n q Î * for the proposed estimator are derived. Numerical results and discussions are established when the consider estimator (DSSB) are testimator of level of significance a.Comparisons with the classical estimator as well as with some existing studies were made to shown the usefulness of the proposed estimator | ||
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