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Branching Processes: Proceedings of the First World Congress by C.C. Heyde (Engl
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- Buy It NowBranching Processes: Proceedings of the First World Congress by C.C. Heyde (Engl
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Item specifics
- Condition
- ISBN-13
- 9780387979892
- Book Title
- Branching Processes
- ISBN
- 9780387979892
- Series
- Lecture Notes in Statistics Ser.
- Publication Year
- 1995
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Publication Name
- Branching Processes : Proceedings of the First World Congress
- Item Length
- 9.3in
- Publisher
- Springer New York
- Item Width
- 6.1in
- Item Weight
- 11 Oz
- Number of Pages
- VIII, 179 Pages
About this product
Product Information
150 Years of Branching Processes It is now 150 years since statistical work done in Paris on extinction of noble and bourgeois family lines by de Chateauneuf stimulated Bienayme to formulate what is now usually known as the Galton-Watson branching process model and to discover themathe matical result known as the criticality theorem. However, Bienayme's work lay fallow and the criticality theorem did not emerge again for nearly 30 years, being rediscovered, not quite accurately, by Galton and Watson (1873-74). From that point the subject began a steady development. The original applications to population modelling were soon aug mented by ones in population genetics and later in the physical sciences. More specifically, the process was used to model numbers of individuals carrying a mutant gene, which could be inherited by some of the individuals offspring, and to epidemics of infectious diseases that may be transmitted to healthy individuals. The nuclear chain reaction in reactors and bombs was modelled, and various special cascade phenomena, in particular cosmic rays. Considerable stimulus to the mathematical development of the subject was provided by the appearance of the influential book, Harris (1963) and this was fueled subsequently by the important books Athreya and Ney (1972) in the USA and Sevastyanov (1971) in the then Soviet Union. More recent. additions to the available list: Jagers (1975), Asmussen and Hering (1983) and Guttorp (1991) have greatly assisted the maintenance ofthe vitality of the subject.
Product Identifiers
Publisher
Springer New York
ISBN-10
0387979891
ISBN-13
9780387979892
eBay Product ID (ePID)
230736
Product Key Features
Publication Name
Branching Processes : Proceedings of the First World Congress
Format
Trade Paperback
Language
English
Series
Lecture Notes in Statistics Ser.
Publication Year
1995
Type
Textbook
Number of Pages
VIII, 179 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Item Weight
11 Oz
Additional Product Features
Series Volume Number
99
Number of Volumes
1 Vol.
Lc Classification Number
Qa273.A1-274.9
Table of Content
Section 1 Supercritical processes.- Supercritical branching processes: a unified approach.- On the statistics of controlled branching processes.- Section 2 Critical processes.- Aspects of the critical case of a generalized Galton-Watson branching process.- Critical general branching processes with long-living particles.- Critical branching processes with random migration.- Section 3 Processes with immigration.- Some results for multitype Bellman-Harris branching processes with state-dependent immigration.- Branching processes as sums of dependent random variables.- Non-homogenous decomposable branching processes.- Age-dependent branching processes with state dependent immigration.- Section 4 Processes with varying environments.- A new class of branching processes.- The extinction time of the inhomogeneous branching process.- Smith-Wilkinson branching proceses with random environment and dependence with complete connections.- Section 5 Measure-valued processes.- Super-Brownian motions in catalytic media.- Multitype branching particle systems and high density limits.- Section 6 Variants on the branching model.- Representation of Markov chains as stochastic differential equations.- An extension of a Galton-Watson process to a two density dependent model.- Multitype contact branching process.
Copyright Date
1995
Topic
Probability & Statistics / General
Lccn
95-011505
Dewey Decimal
519.2/34
Intended Audience
Scholarly & Professional
Dewey Edition
20
Illustrated
Yes
Genre
Mathematics
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