Occupation Time Laws for Birth and Death Processes

Abstract

Let X(t) with t greater or equal to 0 be a (Borel) measurable stationary Markov process whose state space is a metric space epsilon and whose transition probability function is(1) P(t; x, E) = P{X(t + s) E E|X(s) = x}.

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Document Details

Document Type
Technical Report
Publication Date
Jul 30, 1960
Accession Number
AD1028055

Entities

People

  • James Mcgregor
  • Samuel Karlin

Organizations

  • Stanford University

Tags

Communities of Interest

  • Biomedical
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Bessel Functions
  • Complex Variables
  • Convergence
  • Differential Equations
  • Distribution Functions
  • Equations
  • Hypotheses
  • Inequalities
  • Integrals
  • Intervals
  • Markov Chains
  • Markov Processes
  • Probability
  • Random Variables
  • Random Walk
  • Stochastic Processes
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space