Kolmogorov's and Mourier's Strong Laws for Arrays with Independent and Identically Distributed Columns

Abstract

Almost sure convergence of averages of the rows is proven for arrays of random variables and for random elements in Banach spaces, which can be extended to square arrays with independent and identically distributed columns. The result requires that each column converge to a limiting random variables. A counterexample is given to show that the result fails without the condition on the columns.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1984
Accession Number
ADA143222

Entities

People

  • Arif Zaman
  • Asad Zaman

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Convergence
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Numbers
  • Probability
  • Random Variables
  • Real Numbers
  • Real Variables
  • Sequences
  • South Carolina
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra

Technology Areas

  • Space