On the Almost sure Convergence of Weighted Sums of Random Elements in D(0,1)

Abstract

The convergence of weighted sums of random elements in D(0,1) was obtained by Taylor and Daffer (1979) using a number of conditions such as convex tightness, moment conditions, and others. In this paper both the moment conditions and the tightness conditions are substantially relaxed in obtaining the almost sure convergence of weighted sums of random elements in D(0,1). In addition, a brief discussion of the necessary integral conditions will be included which will delineate these results and previous work.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1980
Accession Number
ADA088330

Entities

People

  • C. A. Calhoun
  • Robert L. Taylor

Organizations

  • University of South Carolina

Tags

DTIC Thesaurus Topics

  • Air Force
  • Banach Space
  • Computer Science
  • Convergence
  • Inequalities
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Probability
  • Random Variables
  • Scientific Research
  • Sequences
  • South Carolina
  • Statistics
  • Topology

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.