Random Sums and Branching Stochastic Processes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schriftenreihe: | Lecture Notes in Statistics
96 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The aim of this monograph is to show how random sums (that is, the summation of a random number of dependent random variables) may be used to analyse the behaviour of branching stochastic processes. The author shows how these techniques may yield insight and new results when applied to a wide range of branching processes. In particular, processes with reproduction-dependent and non-stationary immigration may be analysed quite simply from this perspective. On the other hand some new characterizations of the branching process without immigration dealing with its genealogical tree can be studied. Readers are assumed to have a firm grounding in probability and stochastic processes, but otherwise this account is self-contained. As a result, researchers and graduate students tackling problems in this area will find this makes a useful contribution to their work |
| Beschreibung: | 1 Online-Ressource (VIII, 195p) |
| ISBN: | 9781461242161 9780387944463 |
| ISSN: | 0930-0325 |
| DOI: | 10.1007/978-1-4612-4216-1 |
Internformat
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| 500 | |a The aim of this monograph is to show how random sums (that is, the summation of a random number of dependent random variables) may be used to analyse the behaviour of branching stochastic processes. The author shows how these techniques may yield insight and new results when applied to a wide range of branching processes. In particular, processes with reproduction-dependent and non-stationary immigration may be analysed quite simply from this perspective. On the other hand some new characterizations of the branching process without immigration dealing with its genealogical tree can be studied. Readers are assumed to have a firm grounding in probability and stochastic processes, but otherwise this account is self-contained. As a result, researchers and graduate students tackling problems in this area will find this makes a useful contribution to their work | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Rahimov, Ibrahim |
| author_facet | Rahimov, Ibrahim |
| author_role | aut |
| author_sort | Rahimov, Ibrahim |
| author_variant | i r ir |
| building | Verbundindex |
| bvnumber | BV042420247 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184289672 (DE-599)BVBBV042420247 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-4216-1 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461242161 9780387944463 |
| issn | 0930-0325 |
| language | English |
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| publishDate | 1995 |
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| series2 | Lecture Notes in Statistics |
| spelling | Rahimov, Ibrahim Verfasser aut Random Sums and Branching Stochastic Processes by Ibrahim Rahimov New York, NY Springer New York 1995 1 Online-Ressource (VIII, 195p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Statistics 96 0930-0325 The aim of this monograph is to show how random sums (that is, the summation of a random number of dependent random variables) may be used to analyse the behaviour of branching stochastic processes. The author shows how these techniques may yield insight and new results when applied to a wide range of branching processes. In particular, processes with reproduction-dependent and non-stationary immigration may be analysed quite simply from this perspective. On the other hand some new characterizations of the branching process without immigration dealing with its genealogical tree can be studied. Readers are assumed to have a firm grounding in probability and stochastic processes, but otherwise this account is self-contained. As a result, researchers and graduate students tackling problems in this area will find this makes a useful contribution to their work Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Summe (DE-588)4193845-8 gnd rswk-swf Zufallsvariable (DE-588)4129514-6 gnd rswk-swf Zufällige Folge (DE-588)4191092-8 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Verzweigungsprozess (DE-588)4188184-9 gnd rswk-swf Zufallsvariable (DE-588)4129514-6 s Summe (DE-588)4193845-8 s 1\p DE-604 Verzweigungsprozess (DE-588)4188184-9 s 2\p DE-604 Stochastischer Prozess (DE-588)4057630-9 s 3\p DE-604 Zufällige Folge (DE-588)4191092-8 s 4\p DE-604 https://doi.org/10.1007/978-1-4612-4216-1 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rahimov, Ibrahim Random Sums and Branching Stochastic Processes Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Summe (DE-588)4193845-8 gnd Zufallsvariable (DE-588)4129514-6 gnd Zufällige Folge (DE-588)4191092-8 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Verzweigungsprozess (DE-588)4188184-9 gnd |
| subject_GND | (DE-588)4193845-8 (DE-588)4129514-6 (DE-588)4191092-8 (DE-588)4057630-9 (DE-588)4188184-9 |
| title | Random Sums and Branching Stochastic Processes |
| title_auth | Random Sums and Branching Stochastic Processes |
| title_exact_search | Random Sums and Branching Stochastic Processes |
| title_full | Random Sums and Branching Stochastic Processes by Ibrahim Rahimov |
| title_fullStr | Random Sums and Branching Stochastic Processes by Ibrahim Rahimov |
| title_full_unstemmed | Random Sums and Branching Stochastic Processes by Ibrahim Rahimov |
| title_short | Random Sums and Branching Stochastic Processes |
| title_sort | random sums and branching stochastic processes |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Summe (DE-588)4193845-8 gnd Zufallsvariable (DE-588)4129514-6 gnd Zufällige Folge (DE-588)4191092-8 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Verzweigungsprozess (DE-588)4188184-9 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Summe Zufallsvariable Zufällige Folge Stochastischer Prozess Verzweigungsprozess |
| url | https://doi.org/10.1007/978-1-4612-4216-1 |
| work_keys_str_mv | AT rahimovibrahim randomsumsandbranchingstochasticprocesses |