An introduction to the theory of point processes: 2 General theory and structure
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2008
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Probability and its applications
|
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 573 S. |
| ISBN: | 9780387213378 9780387498355 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804133197160644608 |
|---|---|
| adam_text | Titel: Bd. 2. An introduction to the theory of point processes. General theory and structure
Autor: Daley, Daryl J.
Jahr: 2008
Contents
Preface to Volume II, Second Edition vii
Principal Notation xii
Concordance of Statements from the First Edition xvi
9 Basic Theory of Random Measures and Point Processes 1
9.1 Definitions and Examples 2
9.2 Finite-Dimensional Distributions and the Existence Theorem 25
9.3 Sample Path Properties: Atoms and Orderliness 38
9.4 Functionals: Definitions and Basic Properties 52
9.5 Moment Measures and Expansions of Functionals 65
10 Special Classes of Processes 76
10.1 Completely Random Measures 77
10.2 Infinitely Divisible Point Processes 87
10.3 Point Processes Defined by Markov Chains 95
10.4 Markov Point Processes 118
11 Convergence Concepts and Limit Theorems 131
11.1 Modes of Convergence for Random Measures
and Point Processes 132
11.2 Limit Theorems for Superpositions 146
11.3 Thinned Point Processes 155
11.4 Random Translations 166
x Contents
12 Stationary Point Processes and Random Measures 176
12.1 Stationarity: Basic Concepts 177
12.2 Ergodic Theorems 194
12.3 Mixing Conditions 206
12.4 Stationary Infinitely Divisible Point Processes 216
12.5 Asymptotic Stationarity and Convergence to Equilibrium 222
12.6 Moment Stationarity and Higher-order Ergodic Theorems 236
12.7 Long-range Dependence 249
12.8 Scale-invariance and Self-similarity 255
13 Palm Theory 268
13.1 Campbell Measures and Palm Distributions 269
13.2 Palm Theory for Stationary Random Measures 284
13.3 Interval- and Point-stationarity 299
13.4 Marked Point Processes, Ergodic Theorems,
and Convergence to Equilibrium 317
13.5 Cluster Iterates 334
13.6 Fractal Dimensions 340
14 Evolutionary Processes and Predictability 355
14.1 Compensators and Martingales 356
14.2 Campbell Measure and Predictability 376
14.3 Conditional Intensities 390
14.4 Filters and Likelihood Ratios 400
14.5 A Central Limit Theorem 412
14.6 Random Time Change 418
14.7 Poisson Embedding and Existence Theorems 426
14.8 Point Process Entropy and a Shannon-MacMillan Theorem 440
15 Spatial Point Processes 457
15.1 Descriptive Aspects: Distance Properties 458
15.2 Directional Properties and Isotropy 466
15.3 Stationary Line Processes in the Plane 471
15.4 Space-Time Processes 485
15.5 The Papangelou Intensity and Finite Point Patterns 506
15.6 Modified Campbell Measures and Papangelou Kernels 518
15.7 The Papangelou Intensity Measure and Exvisibility 526
References with Index 537
Subject Index 557
|
| any_adam_object | 1 |
| author | Daley, Daryl J. 1939- Vere-Jones, Daniel |
| author_GND | (DE-588)128971878 |
| author_facet | Daley, Daryl J. 1939- Vere-Jones, Daniel |
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| building | Verbundindex |
| bvnumber | BV019733983 |
| ctrlnum | (OCoLC)315184489 (DE-599)BVBBV019733983 |
| dewey-full | 500 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 500 - Natural sciences and mathematics |
| dewey-raw | 500 |
| dewey-search | 500 |
| dewey-sort | 3500 |
| dewey-tens | 500 - Natural sciences and mathematics |
| discipline | Allgemeine Naturwissenschaft |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV019733983 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:04:53Z |
| institution | BVB |
| isbn | 9780387213378 9780387498355 |
| language | English |
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| physical | XVII, 573 S. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Springer |
| record_format | marc |
| series2 | Probability and its applications |
| spelling | Daley, Daryl J. 1939- Verfasser (DE-588)128971878 aut An introduction to the theory of point processes 2 General theory and structure D. J. Daley ; D. Vere-Jones 2. ed. New York [u.a.] Springer 2008 XVII, 573 S. txt rdacontent n rdamedia nc rdacarrier Probability and its applications Vere-Jones, Daniel Verfasser aut (DE-604)BV016503102 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013060826&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Daley, Daryl J. 1939- Vere-Jones, Daniel An introduction to the theory of point processes |
| title | An introduction to the theory of point processes |
| title_auth | An introduction to the theory of point processes |
| title_exact_search | An introduction to the theory of point processes |
| title_full | An introduction to the theory of point processes 2 General theory and structure D. J. Daley ; D. Vere-Jones |
| title_fullStr | An introduction to the theory of point processes 2 General theory and structure D. J. Daley ; D. Vere-Jones |
| title_full_unstemmed | An introduction to the theory of point processes 2 General theory and structure D. J. Daley ; D. Vere-Jones |
| title_short | An introduction to the theory of point processes |
| title_sort | an introduction to the theory of point processes general theory and structure |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013060826&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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