# Accession Number:

## AD0621570

# Title:

## CHARACTERIZATION OF GEOMETRIC AND EXPONENTIAL DISTRIBUTIONS.

# Descriptive Note:

## Mathematical note,

# Corporate Author:

## BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB

# Personal Author(s):

# Report Date:

## 1965-08-01

# Pagination or Media Count:

## 14.0

# Abstract:

In two works T. S. Ferguson examines the classes of independent random variables X and Y such that minX,Y is independent of X - Y. In one work he shows that if X or Y has a discrete part, then X and Y are geometric random variables. In the other work it is shown that if X and Y are absolutely continuous, then they are exponential random variables. The present author intends to complete this investigation by showing that the result of Ferguson holds even if X and Y are possibly singular.