Branching Processes
The purpose of this book is to give a unified treatment of the limit theory of branching processes. Since the publication of the important book of T E. Harris (Theory of Branching Processes, Springer, 1963) the subject has developed and matured significan
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llerausgegeben von
J. L. Doob . A. Grothendieck . E. Heinz· F. Hirzebruch E. Hopf . W Maak . S. Mac Lane· W Magnus· J. K. Moser M. M. Postnikov . F. K. Schmidt· D. S. Scott· K. Stein
Geschaftsfiihrende IIerausgeber
B. Eckmann und B. L. van der Waerden
K. B. Athreya . P. E. Ney
Branching Processes
Springer-Verlag Berlin Heidelberg New York 1972
Krishna B. Athreya Associate Professor of Mathematics University of Wisconsin, Madison, Wisconsin
Peter E. Ney Professor of Mathematics University of Wisconsin, Madison, Wisconsin
Geschaftsfiihrende Herausgeber:
B. Eckmann Eidgeniissische Technische Hochschule Ziirich
B. L. van der Waerden Mathematisches Institut der Universitiit Ziirich
AMS Subject Classifications (1970) Primary 60J80, 60K99, 60F99 Secondary 60J85, 39A20, 45M05, 60J 45, 92A 15
ISBN -13: 978- 3-642-65373-5 e- ISBN -13: 978-3-642-65371-1 DOl: 10.1007/978-3-642-65371-1
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data qanks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. © by SpringerVerlag Berlin Heidelberg 1972. Library of Congress Catalog Card Number 72-75819. Softcover reprint of the hardcover 1st edition 1972
K. B. Athreya . P. E. Ney
Branching Processes
Springer-Verlag New York Heidelberg Berlin 1972
Krishna B. Athreya Associate Professor of Mathematics University of Wisconsin, Madison, Wisconsin
Peter E. Ney Professor of Mathematics
University of Wisconsin, Madison, Wisconsin
Geschliftsfiihrende Herausgeber:
B. Eckmann Eidgeniissische Technische Hochschule Ziirich
B. L. van der Waerden Mathematisches Institut der Universit.t Ziirich
AMS Subject Classifications (1970) Primary 60 J 80, 60 K 99, 60 F 99 Secondary 60J 85, 39A20, 45 M05, 60J 45, 92A 15
ISBN -13: 978-3-642-65373-5 e- ISBN -13: 978-3-642-65371-1 DOl: 10.1007/978-3-642-65371-1
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data hanks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. © by SpringerVerlag Berlin Heidelberg 1972. Library of Congress Catalog Card Number 72-75819. Softcover reprint of the hardcover 1st edition 1972
Dedicated to our parents
Preface The purpose of this book is to give a unified treatment of the limit theory of branching processes. Since the publication of the important book of T E. Harris (Theory of Branching Processes, Springer, 1963) the subject has d