Accession Number : AD0436763


Title :   EXPECTED VALUES OF EXPONENTIAL, WEIBULL, AND GAMMA ORDER STATISTICS,


Corporate Author : AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO


Personal Author(s) : Harter,H Leon


Report Date : Feb 1964


Pagination or Media Count : 112


Abstract : Five-decimal-place tables, accurate to within aunit in the last place, are given of the expected values of the Mth order statistics M = 1 (1) N of samples of size N from the exponential population N - 1(1) 120 and from t;e Weibull and Gamma populations N = 1(1) 40. In each case, the values of the location and scale parameters are assumed to be 0 and 1, respectively. Results are tabulated for the Weibull population with shape parameter K = 0.50(0.5)4(1)8 and for the Gamma population with shape parameter a = 0.5(0.5)4, as well as for the exponential population, which is a special case (shape parameter 1) of each of the other two populations. Also given is an eight-decimal-place table, accurate to within a unit in the last place, of the moments (means, variance, skewness, and kurtosis) of the exponential population and of the Weibull and Gamma populations with the above-mentioned values of the shape parameters. The mathematical formulations are given, along with a description of the methods of computation and a discussion of uses of the tables. (Author)


Descriptors :   *TABLES(DATA) , *POPULATION(MATHEMATICS) , POPULATION(MATHEMATICS) , TABLES(DATA) , SPECIAL FUNCTIONS(MATHEMATICS) , PROBABILITY , STATISTICAL DISTRIBUTIONS , SAMPLING , SERIES(MATHEMATICS)


Distribution Statement : APPROVED FOR PUBLIC RELEASE