| Descript |
1 online resource (204 pages) |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
International Association for Mathematical Geology Studies in Mathematical Geology Ser. ; v.7 |
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International Association for Mathematical Geology Studies in Mathematical Geology Ser
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| Note |
Intro -- Contents -- 1 Introduction -- 1.1 Statement of the problem -- 1.2 Compositions -- 1.3 Coregionalization -- 1.4 Organization of the book -- 2 Regionalized compositions -- 2.1 First concepts of regionalized compositions -- 2.2 Basis of a regionalized composition -- 2.3 Regionalized subcompositions -- 2.4 Regionalized amalgamations and partitions -- 2.5 alr and clr transformations -- 2.6 Hypothesis of stationarity -- 2.7 The additive logistic normal distribution -- 3 Spatial covariance structure -- 3.1 Second-order stationary case -- 3.1.1 Spurious spatial correlation -- 3.1.2 Defining spatial covariance structure -- 3.1.3 lr autocovariance -- 3.1.4 alr cross-covariance -- 3.1.5 clr cross-covariance -- 3.1.6 Relationships between specifications -- 3.1.7 Symmetry of the spatial covariance structure -- 3.2 Spatial covariance structure under intrinsic hypothesis -- 3.2.1 Intrinsic spatial covariance structure -- 3.2.2 lr semivariogram -- 3.2.3 alr cross-semivariogram -- 3.2.4 clr cross-semivariogram -- 3.2.5 Further relationships between specifications -- 3.3 Spatial covariance structure of an r-basis -- 4 Concepts of null correlation -- 4.1 Null lr cross-correlation -- 4.2 Null Ir autocorrelation -- 4.3 Null alr cross-correlation -- 4.4 Null clr cross-correlation -- 4.5 Composition invariance -- 4.6 Relationship between concepts of null cross-correlation -- 4.7 Subcompositional invariance and partition independence -- 5 Cokriging -- 5.1 The general case of cokriging -- 5.1.1 Cokriging with known mean -- 5.1.2 Cokriging with unknown mean -- 5.2 Normal cokriging -- 5.3 Lognormal cokriging -- 5.3.1 Lognormal cokriging with known mean -- 5.3.2 Lognormal cokriging with unknown mean -- 5.3.3 Comments on lognormal cokriging -- 5.4 alr cokriging -- 5.4.1 alr cokriging with known and unknown mean -- 5.4.2 alr cokriging of a subvector |
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5.4.3 alr autocorrelation and alr cokriging -- 5.4.4 Permutation invariance of alr cokriging estimators -- 5.5 Intrinsic vector random functions -- 6 Practical aspects of compositional data analysis -- 6.1 Dealing with zeros in compositional data -- 6.2 Modeling alr cross-covariance matrices -- 6.3 Exploratory analysis of compositional data -- 6.4 Back transforming alr means and variances -- 6.5 Confidence intervals and confidence regions -- 6.5.1 General concepts -- 6.5.2 Confidence intervals and confidence regions in the nonregionalized case -- 6.5.3 Confidence intervals and confidence regions in the regionalized case -- 6.6 H-data files -- 6.7 Criteria for comparing results -- 6.7.1 Distance between observed samples and estimates -- 6.7.2 STRESS between observed and estimated data set -- 7 Application to real data -- 7.1 The Lyons West oil field of Kansas -- 7.1.1 Description of the field -- 7.1.2 Preparation of the oil-field data -- 7.2 Direct estimation -- 7.3 The alr method -- 7.3.1 The particular case of Lyons West -- 7.3.2 Spatial correlation -- 7.3.3 Comparison of estimation methods -- 7.4 The basis method -- 7.4.1 The basis for Lyons West -- 7.4.2 Modeling of covariances -- 7.4.3 The kriging and cokriging of the basis -- 7.4.4 Explanation of the reversal of the optimal method -- 7.5 Last exercise -- 7.6 Concluding comparisons -- Summary and prospects -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- R -- S -- T -- U -- V -- W -- Z |
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1. Introduction. 2. Regionalized Compositions. 3. Spatial Covariance Structure. 4. Concepts of Null Correlation. 5. Cokriging. 6. Practical Aspects of Compositional Data Analysis. 7. Application to Real Data. Summary and Prospects. References. Index |
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Description based on publisher supplied metadata and other sources |
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries |
| Link |
Print version: Pawlowsky-Glahn, Vera Geostatistical Analysis of Compositional Data
Cary : Oxford University Press, Incorporated,c2004 9780195171662
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| Subject |
Geology -- Statistical methods.;Multivariate analysis.;Kriging
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Electronic books
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| Alt Author |
Olea, Ricardo A
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Olea, Richardo A
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