Accession Number : AD0281730

Title :   THE FIRST TWO MOMENTS OF THE RECIPROCAL OF THE POSITIVE HYPERGEOMETRIC VARIABLE,

Corporate Author : CASE INST OF TECH CLEVELAND OHIO

Personal Author(s) : Govindarajulu ,Zakkula ; Leone,F. C.

Report Date : MAY 1962

Pagination or Media Count : 16

Abstract : Starting from the definitions, the first two inverse moments of a positive hypergeometric variable have been computed accurate to five decimal places for: N equals 1(1)20, M equals 1(1)N, n equals 1(1)M, N equals 25(5)50, M/N equals 5% and 100%, n equals 1(1)M; N equals 55(5)100(10) 140, M/N equals 5% and 100%, n/N (less than M/N) equals 5% and 100%. Many theoretical results of interest, recurrence formulae among the inverse moments, and various approximations for the first two inverse moments have been obtained. The rounding error involved in using the formulae at most 1-2 units in the last decimal place. The approximate values have been compared with the true values for some sets of values of N, M and n. For large values of N and n the Beta approximations are accurate up to 2-3 decimal places, provided they exist. (Author)

Descriptors :   *PROBABILITY, *STATISTICAL DISTRIBUTIONS, *STATISTICAL FUNCTIONS, NUMERICAL ANALYSIS, REAL VARIABLES, STATISTICAL ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE