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.