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Branching Processes

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Synopses & Reviews

Publisher Comments:

A unified treatment of the limit theory of branching processes, this volume focuses on basics. Courses in analysis and probability are prerequisites for this text, which is appropriate for graduate students and advanced undergraduates. The authors begin with a detailed development of the basic Galton-Watson process, and subsequent treatment of continuous time cases (both Markov and age-dependent) reduces analogous questions to Galton-Watson counterparts whenever possible. Concluding chapters focus on multi-type branching processes and special processes, and complements and problems appear at the end of each section. Essentially self-contained, this treatment enables students to engage in independent research. 1972 edition.

Book News Annotation:

Athreya (Cornell U.) and Ney (U. of Wisconsin) cover developments in the theory of branching processes in the decade following the publication of Harris's important Theory of Branching Processes, although enough older material is presented to make the work self contained. In the first two chapters they develop the Galton-Watson process, later reducing analogous questions of the treatment of continuous time (Markov and age-dependent) cases to their Galton- Watson counterparts. After these discussions of single type processes, they present a chapter dealing multi-type branching processes. A final chapter explores applications. This is a paperbound edition of a work first published in 1972.
Annotation 2004 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

This unified treatment surveys the Galton-Watson process, potential theory, one dimensional continuous time Markov branching processes, age-dependent processes, multi-type branching processes, and special processes. Appropriate for graduate and advanced undergraduate students. 1972 edition.

Table of Contents

I. The Galton-Watson Process

II. Potential Theory

III. One Dimensional Continuous Time Markov Branching Processes

IV. Age-Dependent Processes.

V. Multi-Type Branching Processes

VI. Special Processes

Bibliography

List of Symbols

Indexes

Product Details

ISBN:
9780486434742
Author:
Athreya, Krishna B.
Publisher:
Dover Publications
Author:
K. B. Athrey
Author:
reya, K. B.
Author:
Ney, P. E.
Author:
ath
Author:
Athreya, K. B.
Author:
A
Author:
Mathematics
Location:
Mineola, N.Y.
Subject:
General
Subject:
Branching processes
Subject:
Probability & Statistics - General
Subject:
General Mathematics
Subject:
Discrete Mathematics
Subject:
Mathematics | Probability and Statistics
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
82
Publication Date:
20040331
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
304
Dimensions:
8.5 x 5.38 in 0.71 lb

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Related Subjects

History and Social Science » Politics » Leftist Studies
Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Probability Theory
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

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Product details 304 pages Dover Publications - English 9780486434742 Reviews:
"Synopsis" by ,
This unified treatment surveys the Galton-Watson process, potential theory, one dimensional continuous time Markov branching processes, age-dependent processes, multi-type branching processes, and special processes. Appropriate for graduate and advanced undergraduate students. 1972 edition.

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