Showing papers by "Palaniappan Vellaisamy published in 1989"
TL;DR: In this paper, the authors used the (u,V) -method of Bobbins (1988) to obtain the uniformly minimum variance unbiased estimator (UMVUE) of M, the mean of the selected gamma population and showed that the estimator dominates the natural estimator T -X(1) for squared error loss.
Abstract: Let be k independent gamma populations with unknown scale parameters and a common known shape parameter p > o. For the case k -2 and p a positive integer, Vellaisamy and Sharma (1988) obtained the uniformly minimum variance unbiased estimator (UMVUE) of M, the mean of the selected gamma population, and showed that the estimator dominates the natural estimator T -X(1) for squared error loss. In this note, the above two results are shown to be true for an arbitrary k and p > o, using the (u,V) -method of Bobbins (1988).
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