Geostatistics for engineers and earth scientists:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Kluwer
1999
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 303 S. Ill., graph. Darst. |
| ISBN: | 0792385233 |
Staff View
MARC
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| 100 | 1 | |a Olea, Ricardo A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Geostatistics for engineers and earth scientists |c by Ricardo A. Olea |
| 264 | 1 | |a Boston [u.a.] |b Kluwer |c 1999 | |
| 300 | |a XV, 303 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 650 | 7 | |a Aardwetenschappen |2 gtt | |
| 650 | 7 | |a Geoestatística |2 larpcal | |
| 650 | 7 | |a Statistiek |2 gtt | |
| 650 | 4 | |a Geologie | |
| 650 | 4 | |a Statistik | |
| 650 | 4 | |a Geology |x Statistical methods | |
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Record in the Search Index
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| adam_text | CONTENTS
List of Mathematical Definitions ..................................... x
List of Theorems ..................................................... xii
List of Corollaries....................................................xiii
List of Lemmas ....................................................... xiv
Preface ............................................................... xvii
Chapter 1: Introduction ............................................... 1
Chapter 2: Simple Kriging............................................. 7
Properties of Linear Combinations of Variates .......................... 8
Assumptions and Definitions .......................................... 11
The Estimation Variance .............................................. 11
Normal Equations ..................................................... 14
Minimum Mean Square Error.......................................... 15
Algorithm ............................................................. 16
EXERCISE 2.1 ..........................................................18
Properties............................................................. 20
EXERCISE 2.2..........................................................27
Chapter 3: Normalization ............................................ 31
Comparing Two Distributions ......................................... 31
EXERCISE 3.1 ..........................................................32
Normal Score Transformation.......................................... 33
Simple Kriging of Normal Scores ...................................... 35
EXERCISE 3.2..........................................................35
Chapter 4: Ordinary Kriging ......................................... 39
Assumptions .......................................................... 39
Important Relationships ............................................... 40
The Estimator ........................................................ 43
The Estimation Variance .............................................. 43
The Optimization Problem ............................................ 44
Minimum Mean Square Error.......................................... 46
Algorithm for Intrinsic Random Functions ............................. 47
viii Ceostatistics for Engineers Earth Scientists
Second Order Stationary Ordinary Kriging ............................ 48
EXERCISE 4.1 ..........................................................52
Properties ............................................................. 53
Relating Simple and Ordinary Kriging ................................. 59
Search Neighborhood .................................................. 62
Quasi-Stationary Estimator ........................................... 63
Chapter 5: The Semivariogram ...................................... 67
The Semivariogram of the Random Function ........................... 68
The Experimental Semivariogram......................................70
EXERCISE 5.1 ..........................................................74
Anisotropy and Drift .................................................. 75
Semivariogram Models ................................................ 76
Additivity............................................................. 80
Parameter Estimation by Trial and Error .............................. 81
Automatic Parameter Fitting .......................................... 83
EXERCISE 5.2..........................................................86
Support ............................................................... 89
Direct Applications....................................................89
Chapter 6: Universal Kriging ........................................ 91
The Estimator ........................................................ 91
Assumptions .......................................................... 92
Unbiasedness .......................................................... 94
Estimation Variance ................................................... 96
Optimization .......................................................... 98
Minimum Mean Square Error ........................................ 100
Algorithm for Intrinsically Stationary Residuals....................... 102
Second Order Stationary Universal Kriging ........................... 103
Practice.............................................................. 107
EXERCISE 6.1 ........................................................ 108
Chapter 7: Crossvalidation ......................................... 115
Alternative Evaluation Method ....................................... 115
EXERCISE 7.1 ........................................................ 117
Diagnostic Statistics ................................................. 119
EXERCISE 7.2 ........................................................ 121
Chapter 8: Drift and Residuals ..................................... 129
Assumptions ......................................................... 129
Unbiasedness ......................................................... 130
Estimation Variance.................................................. 132
Optimal Estimator ................................................... 133
Minimum Estimation Variance ....................................... 135
Algorithmic Summary ................................................ 136
Residuals ............................................................ 137
EXERCISE 8.1 ........................................................ 137
Contents %x
Chapter 9: Stochastic Simulation................................... 141
Sequential Gaussian Simulation....................................... 143
EXERCISE 9.1 ........................................................ 147
Simulated Annealing ................................................. 147
EXERCISE 9.2 ........................................................ 152
Advantages and Disadvantages of Simulated Annealing ............... 154
Lower-Upper (LU) Decomposition.................................... 155
The Turning Bands Method .......................................... 158
Chapter 10: Reliability .............................................. 163
Kriging Under Normality of Errors ................................... 164
EXERCISE 10.1 ....................................................... 165
Indicator Kriging..................................................... 167
EXERCISE 10.2 ....................................................... 171
Stochastic Simulation ................................................ 173
EXERCISE 10.3 ....................................................... 175
Comparisons ......................................................... 177
Chapter 11: Cumulative Distribution Estimators ................. 179
Simulation E-type Estimator ......................................... 179
EXERCISE 11.1 ....................................................... 180
Indicator E-type Estimator ........................................... 182
Loss Functions ....................................................... 184
Chapter 12: Block Kriging .......................................... 187
The Estimator ....................................................... 188
Assumptions ......................................................... 188
Estimation Error ..................................................... 191
Normal Equations.................................................... 193
Covariance Modeling ................................................. 197
EXERCISE 12.1 ....................................................... 198
EXERCISE 12.2 ....................................................... 202
Remarks ............................................................. 204
EXERCISE 12.3 ....................................................... 206
Chapter 13: Ordinary Cokriging....................................209
The Estimator ....................................................... 209
Assumptions ......................................................... 210
Unbiasedness ......................................................... 212
Estimation Error ..................................................... 213
Optimization......................................................... 217
Minimum Mean Square Error ........................................ 219
Algorithm............................................................220
Structural Analysis................................................... 221
EXERCISE 1 3.1 ....................................................... 226
Regionalized Compositions ........................................... 234
x Geostatistics for Engineers Earth Scientists
Chapter 14: Regionalized Classification ........................... 237
Typification .......................................................... 238
Ward s Method ...................................................... 239
Discriminant Analysis ................................................ 243
Allocation by Extension .............................................. 247
EXERCISE 14.1 ....................................................... 248
References ........................................................... 261
Appendix A: West Lyons Field Sampling ............................ 267
Appendix B: High Plains Aquifer Sampling .......................... 269
Appendix C: UNCF Sampling .........................................279
Appendix D: Dakota Aquifer Sampling .............................. 281
Author Index ......................................................... 289
Subject Index ........................................................ 291
|
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| dewey-ones | 550 - Earth sciences |
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| discipline | Geologie / Paläontologie Geographie |
| format | Book |
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| id | DE-604.BV012755349 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:33:05Z |
| institution | BVB |
| isbn | 0792385233 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008672879 |
| oclc_num | 41070795 |
| open_access_boolean | |
| owner | DE-703 DE-20 DE-11 DE-188 |
| owner_facet | DE-703 DE-20 DE-11 DE-188 |
| physical | XV, 303 S. Ill., graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Kluwer |
| record_format | marc |
| spelling | Olea, Ricardo A. Verfasser aut Geostatistics for engineers and earth scientists by Ricardo A. Olea Boston [u.a.] Kluwer 1999 XV, 303 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aardwetenschappen gtt Geoestatística larpcal Statistiek gtt Geologie Statistik Geology Statistical methods Kriging Geostatistik (DE-588)4020279-3 gnd rswk-swf Geostatistik (DE-588)4020279-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008672879&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Olea, Ricardo A. Geostatistics for engineers and earth scientists Aardwetenschappen gtt Geoestatística larpcal Statistiek gtt Geologie Statistik Geology Statistical methods Kriging Geostatistik (DE-588)4020279-3 gnd |
| subject_GND | (DE-588)4020279-3 |
| title | Geostatistics for engineers and earth scientists |
| title_auth | Geostatistics for engineers and earth scientists |
| title_exact_search | Geostatistics for engineers and earth scientists |
| title_full | Geostatistics for engineers and earth scientists by Ricardo A. Olea |
| title_fullStr | Geostatistics for engineers and earth scientists by Ricardo A. Olea |
| title_full_unstemmed | Geostatistics for engineers and earth scientists by Ricardo A. Olea |
| title_short | Geostatistics for engineers and earth scientists |
| title_sort | geostatistics for engineers and earth scientists |
| topic | Aardwetenschappen gtt Geoestatística larpcal Statistiek gtt Geologie Statistik Geology Statistical methods Kriging Geostatistik (DE-588)4020279-3 gnd |
| topic_facet | Aardwetenschappen Geoestatística Statistiek Geologie Statistik Geology Statistical methods Kriging Geostatistik |
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