Uniformly
minimum-variance unbiased estimator (UMVUE) for the gamma cumulative distribution function with known and
integer scale parameter. This paper applies Rao-Blackwell and
Lehmann-Scheffeé Theorems to deduce the uniformly minimum-variance unbiased
estimator (UMVUE) for the gamma cumulative distribution function with known and
integer scale parameters. The paper closes with an example comparing the
empirical distribution function with the UMVUE estimates.
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