Title :
Reliability-Related Inferences for a Gamma Distribution
Author :
Glaser, Ronald E.
Author_Institution :
Mathematics and Statistics Division; Lawrence Livermore National Laboratory; POBox 808; Livermore, CA 94550 USA.
fDate :
6/1/1982 12:00:00 AM
Abstract :
The following inferences are obtained, based on a complete random sample from a gamma distribution with unknown shape and scale parameters: a median unbiased point estimator, and optimum s-confidence bounds and intervals, for the shape parameter; the uniformly minimum variance unbiased estimator, and a conservative lower s-confidence bound, for reliability. Illustrative computations and comparisons with competing techniques are presented.
Keywords :
Laboratories; Life estimation; Life testing; Lifetime estimation; Maximum likelihood estimation; Monte Carlo methods; Probability; Shape; Statistics; Conservative lower s-confidence bound; Gamma distribution; Maximum likelihood estimator; Median unbiased estimator; Uniformly minimum variance unbiased estimator;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1982.5221299
