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Inferences On The Shape Parameter Of The Gamma Distribution And Cramer-Rao Lower Bounds From Censored Data, James Wyckoff
Inferences On The Shape Parameter Of The Gamma Distribution And Cramer-Rao Lower Bounds From Censored Data, James Wyckoff
Doctoral Dissertations
"This dissertation is presented in publication form and consists of two articles. The first article considers inferential procedures on the shape parameter of a gamma distribution from censored sampling. Moments for the statistic T = log(x̅r/x͠r) are found and used to derive a two-moment chi-square approximation for T. This approximation is then used for testing, estimating, and setting confidence bounds on the shape parameter of a gamma distribution. The second article concerns the Cramér-Rao lower bounds for the variances of estimators, where the estimators are based on censored data. Convenient techniques are derived to evaluate the …