An Application of the Perron-Frobenius Theorem to a Damage Model Problem.

Abstract

Using the Perron-Frobenius theorem, it is established that if (X, Y) is a random vector of non-negative integer valued components such that Y < or = X almost surely and two modified Rao-Rubin conditions hold, then under some mild assumptions the distribution of (X,Y) is uniquely determined by the conditional distribution of Y given X. This result extends the recent unpublished work of Shanbhag and Taillie (1979) on damage models. Keywords: Damage models; Modified Rao-Rubin condition; Perron-Frovenius theorem.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1985
Accession Number
ADA160208

Entities

People

  • A. A. Alzaid
  • Calyampudi Radhakrishna Rao
  • D. N. Shanbhag

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Convolution
  • Equations
  • Governments
  • Multivariate Analysis
  • Potential Theory
  • Power Series
  • Probability
  • Probability Distributions
  • Saudi Arabia
  • Scientific Research
  • Sequences
  • Statistical Distributions
  • Theorems
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Mathematical Modeling and Probability Theory.