On the Weak Law of Large Numbers for D(0,1).

Abstract

Weak laws of large numbers are obtained for random elements in D(0,1) where the convergence is in the sup-norm topology. For identically distributed random elements satisfying a compact integral condition, the weak law of large numbers holding pointwise is shown to be necessary and sufficient for the weak law of large numbers. In addition to a discussion of the compact integral condition, a weak law of large numbers is obtained for monotone increasing random elements, and convergence of weighted sums of independent, identically distributed random elements is obtained. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1979
Accession Number
ADA078130

Entities

People

  • Robert Lee Taylor

Organizations

  • University of South Carolina

Tags

DTIC Thesaurus Topics

  • Air Force
  • Convergence
  • Convex Sets
  • Inequalities
  • Intact Stability
  • Integrals
  • Mathematics
  • Numbers
  • Probability
  • Random Variables
  • Real Numbers
  • South Carolina
  • Statistics
  • Stochastic Processes
  • Theorems
  • Topology
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.