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.

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE