Classical and Spatial Stochastic Processes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1999
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is intended as a text for a first course in stochastic processes at the upper undergraduate or graduate levels, assuming only that the reader has had a serious calculus course-advanced calculus would even be better-as well as a first course in probability (without measure theory). In guiding the student from the simplest classical models to some of the spatial models, currently the object of considerable research, the text is aimed at a broad audience of students in biology, engineering, mathematics, and physics. The first two chapters deal with discrete Markov chains-recurrence and tran sience, random walks, birth and death chains, ruin problem and branching pro cesses-and their stationary distributions. These classical topics are treated with a modem twist: in particular, the coupling technique is introduced in the first chap ter and is used throughout. The third chapter deals with continuous time Markov chains-Poisson process, queues, birth and death chains, stationary distributions. The second half of the book treats spatial processes. This is the main difference between this work and the many others on stochastic processes. Spatial stochas tic processes are (rightly) known as being difficult to analyze. The few existing books on the subject are technically challenging and intended for a mathemat ically sophisticated reader. We picked several interesting models-percolation, cellular automata, branching random walks, contact process on a tree-and con centrated on those properties that can be analyzed using elementary methods |
| Beschreibung: | 1 Online-Ressource (XI, 179 p) |
| ISBN: | 9781461215820 9781461272038 |
| DOI: | 10.1007/978-1-4612-1582-0 |
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Datensatz im Suchindex
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| discipline | Mathematik |
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| id | DE-604.BV042419871 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461215820 9781461272038 |
| language | English |
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| spelling | Schinazi, Rinaldo B. Verfasser aut Classical and Spatial Stochastic Processes by Rinaldo B. Schinazi Boston, MA Birkhäuser Boston 1999 1 Online-Ressource (XI, 179 p) txt rdacontent c rdamedia cr rdacarrier This book is intended as a text for a first course in stochastic processes at the upper undergraduate or graduate levels, assuming only that the reader has had a serious calculus course-advanced calculus would even be better-as well as a first course in probability (without measure theory). In guiding the student from the simplest classical models to some of the spatial models, currently the object of considerable research, the text is aimed at a broad audience of students in biology, engineering, mathematics, and physics. The first two chapters deal with discrete Markov chains-recurrence and tran sience, random walks, birth and death chains, ruin problem and branching pro cesses-and their stationary distributions. These classical topics are treated with a modem twist: in particular, the coupling technique is introduced in the first chap ter and is used throughout. The third chapter deals with continuous time Markov chains-Poisson process, queues, birth and death chains, stationary distributions. The second half of the book treats spatial processes. This is the main difference between this work and the many others on stochastic processes. Spatial stochas tic processes are (rightly) known as being difficult to analyze. The few existing books on the subject are technically challenging and intended for a mathemat ically sophisticated reader. We picked several interesting models-percolation, cellular automata, branching random walks, contact process on a tree-and con centrated on those properties that can be analyzed using elementary methods Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-1582-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schinazi, Rinaldo B. Classical and Spatial Stochastic Processes Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Stochastischer Prozess (DE-588)4057630-9 gnd |
| subject_GND | (DE-588)4057630-9 |
| title | Classical and Spatial Stochastic Processes |
| title_auth | Classical and Spatial Stochastic Processes |
| title_exact_search | Classical and Spatial Stochastic Processes |
| title_full | Classical and Spatial Stochastic Processes by Rinaldo B. Schinazi |
| title_fullStr | Classical and Spatial Stochastic Processes by Rinaldo B. Schinazi |
| title_full_unstemmed | Classical and Spatial Stochastic Processes by Rinaldo B. Schinazi |
| title_short | Classical and Spatial Stochastic Processes |
| title_sort | classical and spatial stochastic processes |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Stochastischer Prozess (DE-588)4057630-9 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Stochastischer Prozess |
| url | https://doi.org/10.1007/978-1-4612-1582-0 |
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