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Far East Journal of Theoretical Statistics

independent left-truncated modified power series populations with functions of parameter

From each population

we have n independent observations and let

denote the sum of these observations. For selecting the best population, the one associated with the smallest parameter

(largest parameter

we consider the natural selection rule which selects the population

if and only if

Since our problem is in the discrete case, there is a high probability of existing ties in the values of

so, we break these ties by selecting the population with the smallest index among the tied populations. In this paper, we consider the problem of estimating the function of parameter

of the selected population under the entropy loss function and prove inadmissibility of the natural estimator by constructing two different classes of improved estimators. In particular, improved estimators of

for the selected left-truncated generalized Poisson distribution are also presented.

Far East Journal of Theoretical Statistics
Volume 28, Issue 1, Pages 21 - 34 (May 2009)

INADMISSIBILITY RESULTS DISTRIBUTION UNDER THE FOR THE SELECTED TRUNCATED MODIFIED POWER SERIES ENTROPY LOSS FUNCTION
Riyadh R. Al-Mosawi (Iraq) and A. Shanubhogue (India)

Abstract:
Consider