Convergence of Quadratic Forms in p-Stable Random Variables and Theta sub p-Radonifying Operators.

Abstract

Necessary and sufficient conditions are given for the almost sure convergence of a quadratic form where (M sub j) is a sequence of i.i.d. p-stable random variables. A connection is established between the convergence of the quadratic form and a radonifying property of the infinite matrix operator (f sub kj). (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1983
Accession Number
ADA135314

Entities

People

  • J. Rosinski
  • S. Cambanis
  • W. A. Woyczynski

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Banach Space
  • Data Science
  • Inequalities
  • Information Science
  • Integrals
  • Mathematics
  • North Carolina
  • Numbers
  • Order Statistics
  • Probability
  • Random Variables
  • Sequences
  • Stationary Processes
  • Statistical Analysis
  • Statistics
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Mathematical Modeling and Probability Theory.