Branching Processes - Couverture rigide

Athreya, Krishna B.; Ney, Peter E.

Couverture rigide

ISBN 10 : 3540057900 ISBN 13 : 9783540057901

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1972

Synopsis

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 significantly. Many of the classical limit laws are now known in their sharpest form, and there are new proofs that give insight into the results. Our work deals primarily with this decade, and thus has very little overlap with that of Harris. Only enough material is repeated to make the treatment essentially self-contained. For example, certain foundational questions on the construction of processes, to which we have nothing new to add, are not developed. There is a natural classification of branching processes according to their criticality condition, their time parameter, the single or multi-type particle cases, the Markovian or non-Markovian character of the pro- cess, etc. We have tried to avoid the rather uneconomical and un- enlightening approach of treating these categories independently, and by a series of similar but increasingly complicated techniques. The basic Galton-Watson process is developed in great detail in Chapters I and II.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1972
• Langue: anglais
• ISBN 10: 3540057900
• ISBN 13: 9783540057901
• Reliure: Relié
• Nombre de pages: 300
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible