Lectures on the Poisson Process:
The Poisson process, a core object in modern probability, enjoys a richer theory than is sometimes appreciated. This volume develops the theory in the setting of a general abstract measure space, establishing basic results and properties as well as certain advanced topics in the stochastic analysis...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
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| Schriftenreihe: | Institute of Mathematical Statistics textbooks
7 |
| Schlagworte: | |
| Online-Zugang: | FHN01 BSB01 Volltext |
| Zusammenfassung: | The Poisson process, a core object in modern probability, enjoys a richer theory than is sometimes appreciated. This volume develops the theory in the setting of a general abstract measure space, establishing basic results and properties as well as certain advanced topics in the stochastic analysis of the Poisson process. Also discussed are applications and related topics in stochastic geometry, including stationary point processes, the Boolean model, the Gilbert graph, stable allocations, and hyperplane processes. Comprehensive, rigorous, and self-contained, this text is ideal for graduate courses or for self-study, with a substantial number of exercises for each chapter. Mathematical prerequisites, mainly a sound knowledge of measure-theoretic probability, are kept in the background, but are reviewed comprehensively in the appendix. The authors are well-known researchers in probability theory; especially stochastic geometry. Their approach is informed both by their research and by their extensive experience in teaching at undergraduate and graduate levels |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 10 Nov 2017) |
| Beschreibung: | 1 online resource (xx, 293 pages) |
| ISBN: | 9781316104477 |
| DOI: | 10.1017/9781316104477 |
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1017/9781316104477 |
| format | Electronic eBook |
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| isbn | 9781316104477 |
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| spelling | Last, Günter Verfasser aut Lectures on the Poisson Process Günter Last, Mathew Penrose Cambridge Cambridge University Press 2018 1 online resource (xx, 293 pages) txt rdacontent c rdamedia cr rdacarrier Institute of Mathematical Statistics textbooks 7 Title from publisher's bibliographic system (viewed on 10 Nov 2017) The Poisson process, a core object in modern probability, enjoys a richer theory than is sometimes appreciated. This volume develops the theory in the setting of a general abstract measure space, establishing basic results and properties as well as certain advanced topics in the stochastic analysis of the Poisson process. Also discussed are applications and related topics in stochastic geometry, including stationary point processes, the Boolean model, the Gilbert graph, stable allocations, and hyperplane processes. Comprehensive, rigorous, and self-contained, this text is ideal for graduate courses or for self-study, with a substantial number of exercises for each chapter. Mathematical prerequisites, mainly a sound knowledge of measure-theoretic probability, are kept in the background, but are reviewed comprehensively in the appendix. The authors are well-known researchers in probability theory; especially stochastic geometry. Their approach is informed both by their research and by their extensive experience in teaching at undergraduate and graduate levels Poisson processes Stochastic processes Probabilities Poisson-Prozess (DE-588)4174971-6 gnd rswk-swf Poisson-Prozess (DE-588)4174971-6 s DE-604 Penrose, Mathew Sonstige oth Erscheint auch als Druck-Ausgabe 9781107088016 https://doi.org/10.1017/9781316104477 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Last, Günter Lectures on the Poisson Process Poisson processes Stochastic processes Probabilities Poisson-Prozess (DE-588)4174971-6 gnd |
| subject_GND | (DE-588)4174971-6 |
| title | Lectures on the Poisson Process |
| title_auth | Lectures on the Poisson Process |
| title_exact_search | Lectures on the Poisson Process |
| title_full | Lectures on the Poisson Process Günter Last, Mathew Penrose |
| title_fullStr | Lectures on the Poisson Process Günter Last, Mathew Penrose |
| title_full_unstemmed | Lectures on the Poisson Process Günter Last, Mathew Penrose |
| title_short | Lectures on the Poisson Process |
| title_sort | lectures on the poisson process |
| topic | Poisson processes Stochastic processes Probabilities Poisson-Prozess (DE-588)4174971-6 gnd |
| topic_facet | Poisson processes Stochastic processes Probabilities Poisson-Prozess |
| url | https://doi.org/10.1017/9781316104477 |
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