Properties of Certain Symmetric Stable Distributions.

Abstract

Necessary and sufficient conditions are presented for jointly symmetric stable random vectors to be independent and for a regression involving symmetric stable random variables to be linear. The notion of n-fold dependence is introduced for symmetric stable random variables, and under this condition we determine all monomials in such random variables for which moments exist. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1977
Accession Number
ADA050374

Entities

People

  • Grady W. Miller

Organizations

  • University of North Carolina at Chapel Hill

Tags

DTIC Thesaurus Topics

  • Random Variables

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Mathematical Modeling and Probability Theory.
  • Statistical inference.