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