The Existence of Almost Surely Comparable Versions of Stochastically Comparable Random Vectors and Functions.

Abstract

X and Y are random elements of a function space, for example, R(n), R(inFi), C(T), or D(T), such that X is stochastically less than Y. Then there exist random elements X' and Y' defined on a common probability space distributed the same as X and Y respectively, such that X' is almost surely less than Y'.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1976
Accession Number
ADA041025

Entities

People

  • Douglas R. Miller

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Construction
  • Convergence
  • Inequalities
  • Military Research
  • Missouri
  • Order Statistics
  • Probability
  • Random Variables
  • Sequences
  • Statistics
  • Stochastic Processes
  • Theorems
  • Topology
  • United States
  • United States Government
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space