UMVUE for series in scale parameter of a gamma distribution

M. Masoom Ali Department of Mathematical Sciences, Ball State University, Muncie, IN 47306, U.S.A.

Jungsoo Woo Department of Statistics, Yeungnam University, Gyongsan, South Korea

Sangchoon Jeon Department of Statistics, Yeungnam University, Gyongsan, South Korea

Abstract

We derive uniformly minimum variance unbiased estimators (UMVUE’s) for series in scale parameter for a gamma distribution with a known shape parameter. We then obtain the UMVUE’s of moments and reliability of an exponential distribution using these results.

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UMVUE for series in scale parameter of a gamma distribution

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UMVUE for series in scale parameter of a gamma distribution

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