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:

1968-07-01

Pagination or Media Count:

11.0

Abstract:

A function psit 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 psit lim as t sub alpha approaches t of inf psit 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