Transience and Recurrence of Branching Processes with State-Dependent Offspring Distributions.

Abstract

Let (X sub n) denote the Galton-Watson branching process with immigration at the zero state, and reproduction via the i'th of a countable set of offspring distributions, when (X sub n) = i not = 0. Conditions are presented which are sufficient for transience, recurrence, and positive-recurrence of (X sub n).

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1974
Accession Number
ADA003708

Entities

People

  • William M. Stein

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Immigration

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.