Theory of spatial statistics: a concise introduction
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton
CRC Press
[2019]
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| Series: | Texts in statistical science
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xiii, 168 Seiten |
| ISBN: | 9780367146399 9780367146429 |
Staff View
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Record in the Search Index
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| adam_text | Contents Preface xi Author xiii Chapter 1 ■ Introduction 1 1.1 GRIDDEDDATA 1 1.2 AREAL UNIT DATA 3 1.3 MAPPED POINT PATTERN DATA 4 1.4 PLAN OF THE BOOK 6 Chapter 2 ■ Random field modelling and interpolation 9 2.1 RANDOM FIELDS 9 2.2 GAUSSIAN RANDOM FIELDS 11 2.3 STATIONARITY CONCEPTS 13 2.4 CONSTRUCTION OF COVARIANCE FUNCTIONS 16 2.5 PROOF OF BOCHNER’S THEOREM 20 2.6 THE SEMI-VARIOGRAM 23 2.7 SIMPLE KRIGING 26 2.8 BAYES ESTIMATOR 28 2.9 ORDINARY KRIGING 29 2.10 UNIVERSAL KRIGING 32 2.11 WORKED EXAMPLES WITH R 34 2.12 EXERCISES 42 2.13 POINTERS TO THE LITERATURE 46
viii ■ Contents Chapter 3 ■ Models and inference for areal unit data 49 3.1 DISCRETE RANDOM FIELDS 49 3.2 GAUSSIAN AUTOREGRESSION MODELS 52 3.3 GIBBS STATES 55 3.4 MARKOV RANDOM FIELDS 59 3.5 INFERENCE FOR AREAL UNIT MODELS 62 3.6 MARKOV CHAIN MONTE CARLO SIMULATION 67 3.7 HIERARCHICAL MODELLING 70 3.7.1 Image segmentation 70 3.7.2 Disease mapping 73 3.7.3 Synthesis 75 3.8 WORKED EXAMPLES WITH R 76 3.9 EXERCISES 84 3.10 POINTERS TO THE LITERATURE 88 Chapter 4 ■ Spatial point processes 93 4.1 POINT PROCESSES ON EUCLIDEAN SPACES 93 4.2 THE POISSON PROCESS 96 4.3 MOMENT MEASURES 98 4.4 STATIONARITY CONCEPTS AND PRODUCT DENSITIES 100 4.5 FINITE POINT PROCESSES 104 4.6 THE PAPANGELOU CONDITIONAL INTENSITY 108 4.7 MARKOV POINT PROCESSES 110 4.8 LIKELIHOOD INFERENCE FOR POISSON PROCESSES 112 4.9 INFERENCE FOR FINITE POINT PROCESSES 114 4.10 COX PROCESSES 117 4.10.1 Cluster processes 118 4.10.2 Log-Gaussian Cox processes 120 4.10.3 Minimum contrast estimation 121
Contents ■ ix 4.11 HIERARCHICAL MODELLING 123 4.12 WORKED EXAMPLES WITH R 126 4.13 EXERCISES 134 4.14 POINTERS TO THE LITERATURE 137 Appendix: Solutions to theoretical exercises 143 Index 167
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| indexdate | 2024-07-10T08:21:24Z |
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| isbn | 9780367146399 9780367146429 |
| language | English |
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| spelling | Lieshout, M. N. M. van (DE-588)1117111261 aut Theory of spatial statistics a concise introduction M.N.M. van Lieshout Boca Raton CRC Press [2019] © 2019 xiii, 168 Seiten txt rdacontent n rdamedia nc rdacarrier Texts in statistical science Räumliche Statistik (DE-588)4386767-4 gnd rswk-swf Räumliche Statistik (DE-588)4386767-4 s DE-604 Erscheint auch als Online-Ausgabe 978-0-429-05286-6 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030940022&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| title | Theory of spatial statistics a concise introduction |
| title_auth | Theory of spatial statistics a concise introduction |
| title_exact_search | Theory of spatial statistics a concise introduction |
| title_full | Theory of spatial statistics a concise introduction M.N.M. van Lieshout |
| title_fullStr | Theory of spatial statistics a concise introduction M.N.M. van Lieshout |
| title_full_unstemmed | Theory of spatial statistics a concise introduction M.N.M. van Lieshout |
| title_short | Theory of spatial statistics |
| title_sort | theory of spatial statistics a concise introduction |
| title_sub | a concise introduction |
| topic | Räumliche Statistik (DE-588)4386767-4 gnd |
| topic_facet | Räumliche Statistik |
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