lecture at University of Baghdad, College of Education for Pure Sciences Ibn AL-Haitham, Department of Mathematics
Probability and statistics
B.Sc. (University of Baghdad, College of Education Ibn-Al-Haitham, Department of Mathematics, 30/6/1998
M.Sc.(University of Baghdad, College of Education Ibn-Al-Haitham, Department of Mathematics, 2012
This paper is concerned with Double Stage Shrinkage Bayesian (DSSB) Estimator for lowering the mean squared error of classical estimator ˆ q for the scale parameter (q) of an exponential distribution in a region (R) around available prior knowledge (q0) about the actual value (q) as initial estimate as well as to reduce the cost of experimentations. In situation where the experimentations 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 is shown to have smaller mean squared error for certain choice of the shrinkage weight factor y( ) and for acceptance region R. Expression for
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