On the Fatou Inequality.

Abstract

The classical Fatou inequality for non-negative measurable functions is intimately connected with problems of convergence of random variables (r.v.). The present paper focuses on the study of a modified form of the Fatou inequality which has important applications in the theory of convergence of r.v. We formulate our results in the language of probability.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1983
Accession Number
ADA136383

Entities

People

  • A. Dvoretzky

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Banach Space
  • California
  • Convergence
  • Inequalities
  • Military Research
  • Monotone Functions
  • Probability
  • Random Variables
  • Sequences
  • Statistics
  • Theorems
  • Two Dimensional
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.