# 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.