Holdings: Applied geostatistics

Applied geostatistics:

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Bibliographic Details
Main Authors:	Isaaks, Edward H. (Author), Srivastava, R. M. (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] Oxford Univ. Press 1989
Subjects:	Geologie Géologie - Méthodes statistiques Statistische methoden Geology > Statistical methods Geostatistik
Online Access:	Inhaltsverzeichnis
Item Description:	Nebentitel: An introduction to applied geophysics
Physical Description:	XIX, 561 S. Ill., graph. Darst., Kt.
ISBN:	9780195050134 0195050126 0195050134

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MARC


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adam_text	CONTENTS 1 Introduction 3 The Walker Lake Data Set............................... 4 Goals of the Case Studies.............................. 6 2 Univariate Description 10 Frequency Tables and Histograms....................... 10 Cumulative Frequency Tables and Histograms............ 12 Normal and lognormal Probability Plots................ 13 Summary Statistics.................................... 16 Measures of Spread................................... 20 Measures of Shape..................................... 20 Notes ................................................ 21 Further Reading....................................... 23 3 Bivariate Description 24 Comparing Two Distributions........................... 24 Scatterplots.......................................... 28 Correlation........................................... 30 Linear Regression..................................... 33 Conditional Expectation............................... 35 Notes ................................................ 38 Further Reading....................................... 39 4 Spatial Description 40 Data Postings......................................... 40 Contour Maps ......................................... 41 Symbol Maps........................................... 43 Indicator Maps........................................ 44 Moving Window Statistics.............................. 46 XIV CONTENTS Proportional Effect................................... 49 Spatial Continuity..................................... 50 h-Scatterplots . . .*.................................. 52 Correlation Functions, Covariance Functions, and Vari- ograms ................................................ 55 Cross h-Scatterplots.................................. 60 Notes ................................................. 64 Further Reading........................................ 65 5 The Exhaustive Data Set 67 The Distribution of F.................................. 67 The Distribution of U................................ 70 The Distribution of T.................................. 73 Recognition of Two Populations......................... 75 The V-U Relationship .................................. 76 Spatial Description of V............................... 78 Spatial Description of U............................... 80 Moving Window Statistics............................... 90 Spatial Continuity..................................... 93 Notes ............................................... 106 6 The Sample Data Set 107 Data Errors............................................109 The Sampling History...................................110 Univariate Description of V . . .......................120 Univariate Description of U............................123 The Effect of the T Type...............................127 The V- U Relationship..................................127 Spatial Description....................................129 Proportional Effect....................................136 Further Reading........................................138 7 The Sample Data Set: Spatial Continuity 140 Sample h-Scatterplots and Their Summaries..............141 An Outline of Spatial Continuity Analysis..............143 Choosing the Distance Parameters.......................146 Finding the Anisotropy Axes............................149 Choosing the Directional Tolerance.....................154 Sample Variograms for U................................154 Relative Variograms . ............................... 163 CONTENTS XV Comparison of Relative Variograms.....................166 The Covariance Function and the Correlogram...........170 Directional Covariance Functions for U ...............173 Cross-Variograms.................................... 175 Summary of Spatial Continuity.........................177 Notes ................................................181 Further Reading.......................................182 8 Estimation 184 Weighted Linear Combinations..........................185 Global and Local Estimation ..........................187 Means and Complete Distributions......................188 Point and Block Estimates.............................190 Notes ................................................194 Further Reading.......................................194 9 Random Function Models 196 The Necessity of Modeling........................... . 196 Deterministic Models..................................198 Probabalistic Models .................................200 Random Variables......................................202 Functions of Random Variables.........................204 Parameters of a Random Variable ......................206 Joint Random Variables................................210 Marginal Distributions.............................. 211 Conditional Distributions........................... 212 Parameters of Joint Random Variables..................213 Weighted Linear Combinations of Random Variables . .215 Random Functions......................................218 Parameters of a Random Function.......................221 The Use of Random Function Models in Practice .... 226 An Example of the Use of a Probabalistic Model .... 231 Further Reading.......................................236 10 Global Estimation 237 Polygonal Declustering................................238 Cell Declustering.....................................241 Comparison of Declustering Methods....................243 Declustering Three Dimensional Data................. 247 Further Reading.......................................248 XVI CONTENTS 11 Point Estimation 249 Polygons............................................250 Triangulation . . . ................................251 Local Sample Mean...................................256 Inverse Distance Methods............................257 Search Neighborhoods...............................259 Estimation Criteria.................................260 Case Studies ..................................... 266 Notes ..............................................276 Further Reading ....................................277 12 Ordinary Kriging 278 The Random Function Model and Unbiasedness..........279 The Random Function Model and Error Variance .... 281 The Lagrange Parameter..............................284 Minimization of the Error Variance.................286 Ordinary Kriging Using 7 or p.......................289 An Example of Ordinary Kriging......................290 Ordinary Kriging and the Model of Spatial Continuity . 296 An Intuitive Look at Ordinary Kriging...............299 Variogram Model Parameters..........................301 Comparison of Ordinary Kriging to Other Estimation Methods......................................... 313 Notes ............................................ 321 Further Reading................................. 322 13 Block Kriging 323 The Block Kriging System............................324 Block Estimates Versus the Averaging of Point Estimates327 Varying the Grid of Point Locations Within a Block . . 327 A Case Study........................................330 14 Search Strategy 338 Search Neighborhoods................................339 Quadrant Search.................................... 344 Are the Nearby Samples Relevant?....................347 Relevance of Nearby Samples and Stationary Models . . 349 Notes ..............................................349 CONTENTS xvii 15 Cross Validation 351 Cross Validation.....................................352 Cross Validation as a Quantitative Tool..............352 Cross Validation as a Qualitative Tool...............359 Cross Validation as a Goal-Oriented Tool.............364 16 Modeling the Sample Variogram 369 Restrictions on the Variogram Model..................370 Positive Definite Variogram Models...................372 Models in One Direction..............................375 Models of Anisotropy.................................377 Matrix Notation......................................386 Coordinate Transformation by Rotation................388 The Linear Model of Coregionalization................390 Models For the The Walker Lake Sample Variograms . . 391 Notes ...............................................397 Further Reading.................................... 398 17 Cokriging 400 The Cokriging System.................................401 A Cokriging Example .................................405 A Case Study.........................................407 Notes ...............................................416 Further Reading......................................416 18 Estimating a Distribution 417 Cumulative Distributions ............................418 The Inadequacy of a Naive Distribution...............419 The Inadequacy of Point Estimates....................420 Cumulative Distributions, Counting and Indicators . . . 421 Estimating a Global Cumulative Distribution..........424 Estimating Other Parameters of the Global Distribution 428 Estimating Local Distributions.......................433 Choosing Indicator Thresholds........................435 Case Studies ........................................438 Indicator Variograms.................................442 Order Relation Corrections......................... 447 Case Study Results...................................448 Notes ...............................................456 Further Reading.................................... 457 xviii CONTENTS 19 Change Of Support 458 The Practical Importance of the Support Effect.......458 The Effect of Support on Summary Statistics..........462 Correcting For the Support Effect ...................468 Transforming One Distribution to Another ............469 Affine Correction....................................471 Indirect Lognormal Correction........................472 Dispersion Variance .................................476 Estimating Dispersion Variances From a Variogram Model480 Case Study: Global Change of Support ................483 Notes ...............................................486 Further Reading......................................488 20 Assessing Uncertainty 489 Error and Uncertainty................................489 Reporting Uncertainty................................492 Ranking Uncertainty..................................497 Case Study: Ranking Sample Data Configurations . . . 499 Assigning Confidence Intervals ......................504 Case Study: Confidence Intervals for An Estimate of the Global Mean......................................506 A Dubious Use of Cross Validation....................514 Local Confidence Intervals...........................517 Case Study: Local Confidence Intervals from Relative Variograms...........................................519 Notes ............................................. 523 Further Reading......................................524 21 Final Thoughts 525 Description and Data Analysis........................525 Estimation ..........................................528 Global Estimation....................................528 Local Estimation.....................................528 Accommodating Different Sample Support...............530 Search Strategy......................................531 Incorporating a Trend................................531 Cross Validation.....................................533 Modeling Sample Variograms...........................534 Using Other Variables................................535 CONTENTS xix Estimating Distributions.......................... 536 Other Uses of Indicators............................536 Bibliography 538 A The Walker Lake Data Sets 542 The Digital Elevation Model.........................542 The Exhaustive Data Set.............................545 Artifacts...........................................545 B Continuous Random Variables 548 The Probability Distribution Function...............548 Parameters of a Continuous Random Variable..........549 Joint Random Variables..............................551 Marginal Distributions..............................551 Conditional Distributions...........................552 Parameters of Joint Random Variables..............552 Index 553
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author	Isaaks, Edward H. Srivastava, R. M.
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spelling	Isaaks, Edward H. Verfasser aut Applied geostatistics Edward H. Isaaks ; R. Mohan Srivastava An introduction to applied geostatistics New York [u.a.] Oxford Univ. Press 1989 XIX, 561 S. Ill., graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Nebentitel: An introduction to applied geophysics Geologie gtt Géologie - Méthodes statistiques Statistische methoden gtt Geologie Geology Statistical methods Geologie (DE-588)4020227-6 gnd rswk-swf Geostatistik (DE-588)4020279-3 gnd rswk-swf Geostatistik (DE-588)4020279-3 s DE-604 Geologie (DE-588)4020227-6 s 1\p DE-604 Srivastava, R. M. Verfasser aut Digitalisierung UB Augsburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003384831&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
spellingShingle	Isaaks, Edward H. Srivastava, R. M. Applied geostatistics Geologie gtt Géologie - Méthodes statistiques Statistische methoden gtt Geologie Geology Statistical methods Geologie (DE-588)4020227-6 gnd Geostatistik (DE-588)4020279-3 gnd
subject_GND	(DE-588)4020227-6 (DE-588)4020279-3
title	Applied geostatistics
title_alt	An introduction to applied geostatistics
title_auth	Applied geostatistics
title_exact_search	Applied geostatistics
title_full	Applied geostatistics Edward H. Isaaks ; R. Mohan Srivastava
title_fullStr	Applied geostatistics Edward H. Isaaks ; R. Mohan Srivastava
title_full_unstemmed	Applied geostatistics Edward H. Isaaks ; R. Mohan Srivastava
title_short	Applied geostatistics
title_sort	applied geostatistics
topic	Geologie gtt Géologie - Méthodes statistiques Statistische methoden gtt Geologie Geology Statistical methods Geologie (DE-588)4020227-6 gnd Geostatistik (DE-588)4020279-3 gnd
topic_facet	Geologie Géologie - Méthodes statistiques Statistische methoden Geology Statistical methods Geostatistik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003384831&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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