ON THE SUPERCRITICAL ONE DIMENSIONAL AGE DEPENDENT BRANCHING PROCESSES.

Abstract

For an age dependent branching process (Z(t);t > or = 0) with mean function m(t) we show Z(t)/(m(t)) converges in distribution to a nondegenerate limit law if and only if the sum of (j log j(p sub j) < infinity) where (p sub j) is the offspring distribution.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1968
Accession Number
AD0696922

Entities

People

  • Krishna B. Athreya

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Mathematical Modeling and Probability Theory.