TRANSITION PROBABILITY OPERATORS.

Abstract

A few remarks are first made on invariant probability measures of a transition probability operator. The notion of irreducibility is introduced for a transition operator acting on the continuous functions on a compact space and implications of this assumption are examined. Finally the unitary and isometric parts of the operator are isolated and interpreted in terms of the behavior of iterates of the operator. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1965
Accession Number
AD0614436

Entities

People

  • Murray Rosenblatt

Organizations

  • University of California, San Diego

Tags

DTIC Thesaurus Topics

  • Probability

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Statistical inference.
  • Theoretical Analysis.

Technology Areas

  • Space