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