Accession Number:

AD0431097

Title:

ON THE TOPOLOGICAL STRUCTURE OF SOME ORDERED FAMILIES OF DISTRIBUTIONS,

Descriptive Note:

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1963-11-01

Pagination or Media Count:

28.0

Abstract:

The consequences are investigated of the order relation on the structure of the family distribution. Among other, it is shown that a nondegenerate family of distributions i.e. a family containing at most a countable number of isolated degenerate distribution is dominated, if it is ordered 2. An easy consequence is that the parameter space of a nondegenerate ordered 2 family is a subset of the real line. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE