
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) : Crawford,Gordon B.
Report Date : AUG 1965
Pagination or Media Count : 14
Abstract : In two works T. S. Ferguson examines the classes of independent random variables X and Y such that min(X,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.
Descriptors : (*DISTRIBUTION THEORY, STOCHASTIC PROCESSES), (*STATISTICAL DISTRIBUTIONS, GEOMETRY), THEOREMS, MEASURE THEORY, REAL VARIABLES
Distribution Statement : APPROVED FOR PUBLIC RELEASE