# Accession Number:

## AD0668479

# Title:

## TABLES OF DISTRIBUTIONS OF QUADRATIC FORMS IN CENTRAL NORMAL VARIABLES I,

# Descriptive Note:

# Corporate Author:

## NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

# Personal Author(s):

# Report Date:

## 1967-12-01

# Pagination or Media Count:

## 82.0

# Abstract:

The tables give values of the probability density and cumulative distribution functions of the random variable alpha sub 1 U sub 1 squared alpha sub 2 U sub 2 squared alpha sub 3 U sub 3 squared alpha sub 4 U sub 4 squared where the Us are mutually independent unit normal variables, with the alphas satisfying the condition alpha sub 1 alpha sub 2 alpha sub 3 alpha sub 4 4. The tables include sets of alpha values from 2.5, 0.7, 0.4, 0.4 to 1.1, 1.1, 0.9, 0.9 in all 36 sets of alpha values. The tabulated values shown to five decimal places are based on original calculations which should have an error less than 1 in the eighth decimal place. Author

# Descriptors:

# Subject Categories:

- Statistics and Probability