Accession Number : AD0736165

Title :   Asymptotic Value of the Mean of a Function of a Normal Random Variable,

Corporate Author : CLEMSON UNIV S C DEPT OF MATHEMATICAL SCIENCES

Personal Author(s) : Alam,Khursheed

Report Date : 15 SEP 1971

Pagination or Media Count : 12

Abstract : Let X be normally distributed with mean zero and variance 1, and let Y = the absolute value of (1+x/sq root of (n)sup(2dn) where d and n are positive numbers. The asymptotic value of the expected value of Y for large n, is considered. The asymptotic behavior of a hypergeometric function, it is shown, can be derived from the expected value of Y. (Author)

Descriptors :   (*PROBABILITY DENSITY FUNCTIONS, RANDOM VARIABLES), (*HYPERGEOMETRIC FUNCTIONS, ASYMPTOTIC SERIES), APPROXIMATION(MATHEMATICS), INTEGRALS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE