Algebraic Functions of H-Functions with Specific Dependency Structure.

Abstract

A practical technique is presented for determining the probability density function and cumulative distribution function of products, quotients, and powers of dependent random variables with bivariate H-function distributions. The bivariate H-function is the most general function of two variables, encompassing as special cases most of the other special functions of mathematics and many of the classifical bivariate distributions. The unique properties of the bivariate H-function make it a powerful tool in the analysis of products, quotients, and powers of dependent random variables.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1984
Accession Number
ADA145598

Entities

People

  • S. D. Kellogg

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algebraic Functions
  • Bivariate Density Functions
  • Business Administration
  • Complex Variables
  • Contour Integrals
  • Convolution Integrals
  • Integral Equations
  • Integral Transforms
  • Multivariate Analysis
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Statistical Analysis
  • Statistical Distributions
  • Statistics
  • Surveys
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.
  • Theoretical Analysis.