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On the Admissibility of Polynomial Estimators in the One-Parameter Exponential Family

Anirban Das Gupta and Bimal Kumar Sinha
Sankhyā: The Indian Journal of Statistics, Series B (1960-2002)
Vol. 42, No. 3/4 (Nov., 1980), pp. 129-142
Published by: Springer on behalf of the Indian Statistical Institute
Stable URL: http://www.jstor.org/stable/25052180
Page Count: 14
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On the Admissibility of Polynomial Estimators in the One-Parameter Exponential Family
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Abstract

Karlin (1958), Ping (1964), Gupta (1966), Zidek (1970), and Ghosh and Meeden (1977) dealt with the problem of finding sufficient conditions for admissibility of linear estimators in the one-parameter exponential family. In this paper it has been shown that following Karlin's argument one can also find sufficient conditions for admissibility of polynomial estimators for estimating linear combinations of the raw moments.

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