The Extinction Probability in a Critical Branching Process

Abstract

Let Z(t) be the number of cells alive at t in a critical age- dependent Bellman-Harris process with lifetime distribution G(t) and offspring generating function h(s). A simplified proof that tP(Z(t) > 0) gives b > 0, a specified constant, is given.

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Document Details

Document Type
Technical Report
Publication Date
May 30, 1978
Accession Number
ADA057352

Entities

People

  • Howard J. Weiner

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Asymptotic Series
  • California
  • Classification
  • Convolution Integrals
  • Extinction
  • Integral Equations
  • Integrals
  • Mathematics
  • Military Research
  • Probability
  • Security
  • Statistics
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Mathematical Modeling and Probability Theory.