On the Characterization and Generalization of a Family of Random Variables as Related to the Solution Space of a Stochastic Differential Equation.

Abstract

On the basis of some elementary probability (theory) notions, a characterization and generalization of a family of random variables is obtained. The family of all random variables whose means are finite can be classified into a collection of 'nested' subsets of random variables with respect to the probability notions introduced. The remainder of the study is devoted to the discussion of solution of a stochastic differential system. Subsequently, the solution space of the differential system as related to the characterized family of random variables was studied. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1970
Accession Number
AD0714649

Entities

People

  • H. M. Hung
  • J. T. Wong

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mathematics
  • Probability
  • Probability Distributions
  • Random Variables

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Linear Algebra

Technology Areas

  • Space