
Accession Number : AD0679481
Title : ON THE REALIZATION OF STOCHASTIC PROCESSES BY PROBABILITY DISTRIBUTIONS IN FUNCTION SPACES II.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Mandrekar,V. ; Mann,Henry B.
Report Date : JUL 1968
Pagination or Media Count : 11
Abstract : A function psi(t) is called denumerably lower continuous (dlc) if it is continuous on a dense denumerable set t sub 1, t sub 2,... and if for all t psi(t) = lim as t sub alpha approaches t of (inf psi(t sub alpha)). It is shown that every process which is almost certainly connected can be realized in the space of dlc functions. (Author)
Descriptors : (*STOCHASTIC PROCESSES, *MEASURE THEORY), PROBABILITY, SET THEORY, THEOREMS
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE