Accession Number:

AD0016400

Title:

THE DISTRIBUTION OF THE DIFFERENCE BETWEEN TWO INDEPENDENT CHI-SQUARES

Descriptive Note:

Corporate Author:

NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s):

Report Date:

1953-03-10

Pagination or Media Count:

1.0

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.

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE