Branching Processes: Proceedings of the First World Congress
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schriftenreihe: | Lecture Notes in Statistics
99 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 the mathematical 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 augmented 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 of the vitality of the subject |
| Beschreibung: | 1 Online-Ressource (VIII, 179p) |
| ISBN: | 9781461225584 9780387979892 |
| ISSN: | 0930-0325 |
| DOI: | 10.1007/978-1-4612-2558-4 |
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| 500 | |a 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 the mathematical 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 augmented 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 of the vitality of the subject | ||
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| spelling | Branching Processes Proceedings of the First World Congress edited by C. C. Heyde New York, NY Springer New York 1995 1 Online-Ressource (VIII, 179p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Statistics 99 0930-0325 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 the mathematical 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 augmented 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 of the vitality of the subject Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Verzweigungsprozess (DE-588)4188184-9 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content Verzweigungsprozess (DE-588)4188184-9 s 2\p DE-604 Heyde, C. C. edt Lecture Notes in Statistics 99 (DE-604)BV036592911 99 https://doi.org/10.1007/978-1-4612-2558-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Branching Processes Proceedings of the First World Congress Lecture Notes in Statistics Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Verzweigungsprozess (DE-588)4188184-9 gnd |
| subject_GND | (DE-588)4188184-9 (DE-588)1071861417 |
| title | Branching Processes Proceedings of the First World Congress |
| title_auth | Branching Processes Proceedings of the First World Congress |
| title_exact_search | Branching Processes Proceedings of the First World Congress |
| title_full | Branching Processes Proceedings of the First World Congress edited by C. C. Heyde |
| title_fullStr | Branching Processes Proceedings of the First World Congress edited by C. C. Heyde |
| title_full_unstemmed | Branching Processes Proceedings of the First World Congress edited by C. C. Heyde |
| title_short | Branching Processes |
| title_sort | branching processes proceedings of the first world congress |
| title_sub | Proceedings of the First World Congress |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Verzweigungsprozess (DE-588)4188184-9 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Verzweigungsprozess Konferenzschrift |
| url | https://doi.org/10.1007/978-1-4612-2558-4 |
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