# Accession Number:

## ADA070025

# Title:

## On Sums of Gamma Order Statistics with Application to the Distribution of R2 in Best Subset Multiple Regression.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## CLEMSON UNIV S C DEPT OF MATHEMATICAL SCIENCES

# Personal Author(s):

# Report Date:

## 1978-09-01

# Pagination or Media Count:

## 17.0

# Abstract:

This paper concerns the distribution of the sum of k largest observations in a sample of m observations from a gamma distribution with n degrees of freedom. The density and cdf of the distribution are given as a sum of gamma density functions. If n is integer valued then the sum consists of a finite number terms. The distribution of the sum arises in a problem of selecting variables in a multiple regression analysis. Author

# Descriptors:

# Subject Categories:

- Statistics and Probability