The statistical analysis of series of events:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London
Methuen
1968
|
| Edition: | Repr. |
| Series: | Methuen's monographs on applied probability and statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 285 S. Illustrationen |
| ISBN: | 0416524001 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Preface page vii
1. Introduction 1
1.1. Preliminaries 1
1.2. Some examples 2
1.3. Some complications 15
1.4. General plan of the monograph 16
2. The Poisson Process 17
2.1. Definition and examples 17
2.2. Properties of the Poisson process 20
2.3. Inference about the parameter of a single Poisson process 29
3. Analysis of Trends 37
3.1. Introduction 37
3.2. Regression analysis 39
3.3. More specialized methods 45
3.4. Exponential ordered scores 54
4. Stationary Point Processes 59
4.1. Introduction 59
4.2. General considerations: the forward recurrence time 60
4.3. Fundamental relationship between counts of events and
times between events 65
4.4. Second-order properties of times between events 69
4.5. Second-order properties of counts 72
4.6. Miscellaneous relationships 75
4.7. Examples of stationary point processes 78
5. Estimation of Second-Order Properties of Stationary Pro¬
cesses 85
5.1. Introduction 85
5.2. Estimates of first and second-order moments of intervals 87
5.3. Estimates of the spectrum of intervals 96
5.4. Estimates of first and second-order moments of counts 112
5.5. Estimation of the spectral density of the counting process 124
v
CONTENTS
6. Renewal Processes and Some Related Significance Tests 134
6.1. Introduction 134
6.2. General considerations for renewal processes 135
6.3. Tests for Poisson processes 152
6.4. Tests for renewal processes 164
6.5. General tests of goodness-of-fit 171
7. Generalizations of Renewal Processes 179
7.1. Introduction 179
7.2. Doubly stochastic Poisson processes 179
7.3. Wold s Markov process of intervals 183
7.4. Branching renewal processes 186
7.5. Semi-Markov processes 194
7.6. Events displaced by random deviations 204
8. Superposition of Processes 210
8.1. Introduction 210
8.2. Some probabilistic results 212
8.3. Statistical analysis 214
9. Comparison of Rates of Occurrence 223
9.1. Introduction 223
9.2. Comparison of two Poisson processes 223
9.3. Comparison of several Poisson processes 231
9.4. Comparison of rates in non-Poisson processes 239
10. Some Generalizations 245
10.1. Introduction 245
10.2. Events in several dimensions 245
10.3. Events of several types 246 :
Appendix I: Some sets of data 251
Appendix H: Asymptotic significance points for some distri¬
bution-free statistics 258
Appendix HI: Exercises and further results 259
Appendix IV: References 268
Author Index 277
Subject Index 279
vi I
|
| any_adam_object | 1 |
| author | Cox, David R. 1924-2022 Lewis, Peter A. |
| author_GND | (DE-588)119013169 (DE-588)170317331 |
| author_facet | Cox, David R. 1924-2022 Lewis, Peter A. |
| author_role | aut aut |
| author_sort | Cox, David R. 1924-2022 |
| author_variant | d r c dr drc p a l pa pal |
| building | Verbundindex |
| bvnumber | BV005089663 |
| classification_rvk | SK 850 SK 845 |
| ctrlnum | (OCoLC)56860619 (DE-599)BVBBV005089663 |
| discipline | Mathematik |
| edition | Repr. |
| format | Book |
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| id | DE-604.BV005089663 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:22:30Z |
| institution | BVB |
| isbn | 0416524001 |
| language | English |
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| physical | VIII, 285 S. Illustrationen |
| publishDate | 1968 |
| publishDateSearch | 1968 |
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| publisher | Methuen |
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| series2 | Methuen's monographs on applied probability and statistics |
| spelling | Cox, David R. 1924-2022 Verfasser (DE-588)119013169 aut The statistical analysis of series of events D. R. Cox and P. A. W. Lewis Repr. London Methuen 1968 VIII, 285 S. Illustrationen txt rdacontent n rdamedia nc rdacarrier Methuen's monographs on applied probability and statistics Punktprozess (DE-588)4138173-7 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Statistische Analyse (DE-588)4116599-8 gnd rswk-swf Zeitreihenanalyse (DE-588)4067486-1 gnd rswk-swf Statistische Analyse (DE-588)4116599-8 s DE-604 Punktprozess (DE-588)4138173-7 s Statistik (DE-588)4056995-0 s 1\p DE-604 Zeitreihenanalyse (DE-588)4067486-1 s 2\p DE-604 Lewis, Peter A. Verfasser (DE-588)170317331 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003120416&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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 |
| spellingShingle | Cox, David R. 1924-2022 Lewis, Peter A. The statistical analysis of series of events Punktprozess (DE-588)4138173-7 gnd Statistik (DE-588)4056995-0 gnd Statistische Analyse (DE-588)4116599-8 gnd Zeitreihenanalyse (DE-588)4067486-1 gnd |
| subject_GND | (DE-588)4138173-7 (DE-588)4056995-0 (DE-588)4116599-8 (DE-588)4067486-1 |
| title | The statistical analysis of series of events |
| title_auth | The statistical analysis of series of events |
| title_exact_search | The statistical analysis of series of events |
| title_full | The statistical analysis of series of events D. R. Cox and P. A. W. Lewis |
| title_fullStr | The statistical analysis of series of events D. R. Cox and P. A. W. Lewis |
| title_full_unstemmed | The statistical analysis of series of events D. R. Cox and P. A. W. Lewis |
| title_short | The statistical analysis of series of events |
| title_sort | the statistical analysis of series of events |
| topic | Punktprozess (DE-588)4138173-7 gnd Statistik (DE-588)4056995-0 gnd Statistische Analyse (DE-588)4116599-8 gnd Zeitreihenanalyse (DE-588)4067486-1 gnd |
| topic_facet | Punktprozess Statistik Statistische Analyse Zeitreihenanalyse |
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