Random Integral Representations for Classes of Limit Distributions Similar to Levy Class L sub 0. II.

Abstract

The aim of this paper is to find a random integral representation for some classes of limit distributions. Such representations give a very natural connection between theory of limit distributions and theory of stochastic processes. In some sense this note complements the subject, with a long history, of characterizations of stochastic processes by random integrals; cf. B.L.S. Praksa Rao. On the other hand, this is a continuation of the study begun in Jurek but basically in a case of a Hilbert space and the identity operator. Keywords: Stationary operators (mathematics).

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1986
Accession Number
ADA177015

Entities

People

  • Zbigniew J. Jurek

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Functional Analysis
  • Hilbert Space
  • Identities
  • Integrals
  • Mathematics
  • Probability
  • Stationary
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Theoretical Analysis.

Technology Areas

  • Space