TY - JOUR ID - TI - On Jeffery Prior Distribution in Modified Double Stage Shrinkage-Bayesian Estimator for Exponential Mean AU - Abbas Najim Salman AU - Assel Hussein Ali AU - Maha A. Mohammed PY - 2012 VL - 1 IS - 6 SP - 29 EP - 41 JO - Journal of Kufa for Mathematics and Computer مجلة الكوفة للرياضيات والحاسوب SN - 11712076 AB - This paper is concerned with ModifiedDouble Stage Shrinkage Bayesian (DSSB)Estimator for lowering the mean squared error ofclassical estimator ˆq for the scale parameter (q)of an Exponential Distribution in suitable region(R) around available prior knowledge (q0) aboutthe actual value (q) as initial estimate as well asto reduce the cost of observation. In situationwhere the observations are time consuming orvery costly, a “Double Stage procedure “can beused to reduce the Expected Sample Size neededto obtain the estimator.This estimator has beenshowing a smaller Mean Squared Error forcertain 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 thesecond sample 1[p(qˆ Î R)] and percentageof overall sample saved 21n ˆ [ p( R) 100]nq Î * forthe proposed estimator are derived.Numerical results and discussions areestablished when the consider estimator(DSSB) are testimator of level ofsignificance a.Comparisons with theclassical estimator as well as with someexisting studies were made to shown theusefulness of the proposed estimator

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