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:
| Beteilige Person: | |
|---|---|
| Weitere beteiligte Personen: | |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
|
| Schriftenreihe: | Institute of Mathematical Statistics textbooks
7 |
| Links: | https://doi.org/10.1017/9781316104477 |
| 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. |
| Umfang: | 1 Online-Ressource (xx, 293 Seiten) |
| ISBN: | 9781316104477 |
Internformat
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9781316104477 | ||
| 003 | UkCbUP | ||
| 005 | 20171115091123.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 140520s2018||||enk o ||1 0|eng|d | ||
| 020 | |a 9781316104477 | ||
| 100 | 1 | |a Last, Günter | |
| 245 | 1 | 0 | |a Lectures on the Poisson Process |c Günter Last, Mathew Penrose |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2018 | |
| 300 | |a 1 Online-Ressource (xx, 293 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 490 | 0 | |a Institute of Mathematical Statistics textbooks |v 7 | |
| 520 | |a 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. | ||
| 700 | 1 | |a Penrose, Mathew | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781107088016 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781107458437 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/9781316104477 |3 Volltext |
| 912 | |a ZDB-20-CTM | ||
| 912 | |a ZDB-20-CTM | ||
| 049 | |a DE-91 | ||
Datensatz im Suchindex
| DE-BY-TUM_katkey | ZDB-20-CTM-CR9781316104477 |
|---|---|
| _version_ | 1825574048170508288 |
| adam_text | |
| any_adam_object | |
| author | Last, Günter |
| author2 | Penrose, Mathew |
| author2_role | |
| author2_variant | m p mp |
| author_facet | Last, Günter Penrose, Mathew |
| author_role | |
| author_sort | Last, Günter |
| author_variant | g l gl |
| building | Verbundindex |
| bvnumber | localTUM |
| collection | ZDB-20-CTM |
| format | eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01922nam a2200277 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9781316104477</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20171115091123.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">140520s2018||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781316104477</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Last, Günter</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Lectures on the Poisson Process</subfield><subfield code="c">Günter Last, Mathew Penrose</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2018</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xx, 293 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Institute of Mathematical Statistics textbooks</subfield><subfield code="v">7</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Penrose, Mathew</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781107088016</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781107458437</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-91</subfield><subfield code="p">ZDB-20-CTM</subfield><subfield code="q">TUM_PDA_CTM</subfield><subfield code="u">https://doi.org/10.1017/9781316104477</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield></datafield></record></collection> |
| id | ZDB-20-CTM-CR9781316104477 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:58:02Z |
| institution | BVB |
| isbn | 9781316104477 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xx, 293 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Institute of Mathematical Statistics textbooks |
| spelling | Last, Günter Lectures on the Poisson Process Günter Last, Mathew Penrose Cambridge Cambridge University Press 2018 1 Online-Ressource (xx, 293 Seiten) txt c cr Institute of Mathematical Statistics textbooks 7 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. Penrose, Mathew Erscheint auch als Druck-Ausgabe 9781107088016 Erscheint auch als Druck-Ausgabe 9781107458437 |
| spellingShingle | Last, Günter Lectures on the Poisson Process |
| 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 |
| work_keys_str_mv | AT lastgunter lecturesonthepoissonprocess AT penrosemathew lecturesonthepoissonprocess |