%0 Journal Article
%T Uniformly Minimum-Variance Unbiased Estimator (UMVUE) for the Gamma Cumulative Distribution Function with Known and Integer Scale Parameter
%A Jessica Kubrusly
%J Open Journal of Statistics
%P 168-174
%@ 2161-7198
%D 2022
%I Scientific Research Publishing
%R 10.4236/ojs.2022.122011
%X Uniformly
minimum-variance unbiased estimator (UMVUE) for the gamma c</span><span style=\"font-family:Verdana;\">umulative distribution function with known and
integer scale parameter.</span><span style=\"font-family:Verdana;\"> This paper applies Rao-Blackwell and
Lehmann-Scheffe¨¦ 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.
%K UMVUE
%K Cumulative Distribution Estimates
%K Gamma Distribution
%K Erlang Distribution
%K Lehmann-Scheffe&#233
%K Theorem
%K Rao-Blackwell Theorem
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=116364