Accession Number : AD0610768
Title : ESTIMATION OF THE SCALE PARAMETER OF THE GAMMA DISTRIBUTION BY USE OF M ORDER STATISTICS.
Descriptive Note : Masters thesis,
Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
Personal Author(s) : Bruce,Richard A.
Report Date : AUG 1964
Pagination or Media Count : 140
Abstract : A technique is developed for estimating the scale parameter of a Gamma distribution with known shape parameter using m order statistics. Basic properties of the Gamma distribution and certain theoretical concepts of order statistics are presented. A linear unbiased minimum variance estimate can be computed by applying tabulated multiplying factors to the first m ordered observations. Multiplying factors which yield one-order-statistic estimates are also tabled. Two efficiencies for the oneorder-statistic estimators are given: the first is based on the m-order-statistic estimator and the second is based on the maximum likelihood estimator. Table ranges include shape parameters alpha = 1(1)3 for sample sizes n = 1(1)20 and alpha = 4(1)6 for n = 1(1)15. (Author)
Descriptors : (*STATISTICAL DISTRIBUTIONS, SAMPLING), (*SAMPLING, QUALITY CONTROL), (*SYSTEMS ENGINEERING, STATISTICAL PROCESSES), STATISTICAL FUNCTIONS, SPECIAL FUNCTIONS (MATHEMATICAL), TABLES(DATA), NUMERICAL METHODS AND PROCEDURES, RELIABILITY, MATHEMATICAL PREDICTION
Distribution Statement : APPROVED FOR PUBLIC RELEASE