Marcinkiewicz-Zygmund Weak Laws of Large Numbers for Unconditional Random Elements in Banach Spaces.

Abstract

Convergence in probability is obtained for random elements in Banach spaces satisfying various distributional conditions including independence, conditional independence, and unconditional semi-basic, and weights. The constant p, 1 < or = p < or = 2, is related to a geometric property of the Banach space and to moment conditions. These results relax the usual hypothesis of identical distributions to tightness and are for conditionally independent and unconditionally semi-basic random elements which are more general than independent random elements with zero means.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1980
Accession Number
ADA089928

Entities

People

  • Joseph O. Howell
  • Robert L. Taylor

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Banach Space
  • Convergence
  • Geometry
  • Inequalities
  • Mathematics
  • New York
  • Numbers
  • Probability
  • Random Variables
  • Real Numbers
  • Scientific Research
  • Sequences
  • South Carolina
  • Statistics
  • Stochastic Processes
  • Tightness

Fields of Study

  • Mathematics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Calculus or Mathematical Analysis
  • Regression Analysis.

Technology Areas

  • Space