Accession Number:

ADA003708

Title:

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

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Stein,William M.

Report Date:

1974-10-01

Pagination or Media Count:

27.0

Abstract:

Let X sub n denote the Galton-Watson branching process with immigration at the zero state, and reproduction via the ith 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.

Descriptors:

• *STOCHASTIC PROCESSES
• MARKOV PROCESSES
• THEOREMS
• POPULATION(MATHEMATICS)

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE