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