Accession Number : AD0016400

Title :   THE DISTRIBUTION OF THE DIFFERENCE BETWEEN TWO INDEPENDENT CHI-SQUARES

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : PACHARES,JAMES

Report Date : 10 MAR 1953

Pagination or Media Count : 1

Abstract : The problem considered is that of the distribution of one-half the difference between 2 indepenent chi-squares each having the same number of degrees of freedom. Recurrence relations are presented for the mean probability density functions and cumulative distribution functions. The probability density function f sub n (t) is shown to have the same order of contant at + or - infinity as the probability density function of Chi 2 with n degress of freedom at infinity. Furthermore, f sub n (0) is a decreasing function of n, and f sub n (t) has its maximum at the origin.

Descriptors :   DISTRIBUTION FUNCTIONS, MEAN, PROBABILITY DENSITY FUNCTIONS.

Distribution Statement : APPROVED FOR PUBLIC RELEASE