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Cover Art
PRINTED BOOKS
Author Sarma, D. D. (Dhavala Dattatreya), 1941-

Title Geostatistics with applications in earth sciences / by D.D. Sarma.

Published Dordrecht : Springer, [2009]
©2009

Copies

Location Call No. Status
 UniM ERC  550.727 SARM    AVAILABLE
Edition 2nd ed.
Physical description xvii, 205 pages : illustrations ; 25 cm + 1 CD-ROM (4 3/4 in.)
Bibliography Includes bibliographical references (pages [195]-201) and index.
Contents 1 Statistical Methods in Earth Sciences 1 -- 1.1 Introduction 1 -- 1.2 Hypothesis 10 -- 1.3 Quantification and Prediction in Earth Sciences 11 -- 1.4 Concept of Random Variable 12 -- 1.5 Probability 12 -- 1.6 Frequency Function, Joint Frequency Function, Continuous Frequency Function and Joint Continuous Frequency Function 13 -- Review Questions 15 -- 2 Univariate Statistical Methods, Frequency Analysis and Simulation 16 -- 2.1 Univariate Statistical Methods 16 -- 2.2 Frequency Analysis 16 -- 2.3 Graphical Representation of Frequency Distribution 18 -- 2.4 Arithmetic Representation of Empirical Distributions 29 -- 2.5 Correlation and Regression 31 -- 2.6 Simulation 35 -- 2.7 Some Applications of Simulation 37 -- Review Questions 41 -- 3 Some Statistical Distributions 42 -- 3.1 Normal Distribution 42 -- 3.2 Lognormal Distribution and Properties 45 -- 3.3 Chi-square (χ2) Test 49 -- 3.4 Applications 50 -- 3.5 Case of Rejection of Normal Distribution 60 -- Review Questions 61 -- 4 Stochastic Modelling (Time Series Analysis) and Forecasting 62 -- 4.1 Introduction 62 -- 4.2 Stochastic Modelling (Time Series Analysis) 64 -- 4.3 Applications 68 -- 4.4 Spectral Analysis (Frequency Domain) 71 -- Review Questions 77 -- 5 Concepts of Regionalised Variables and Variogram Modelling 78 -- 5.1 Introduction 78 -- 5.2 Stationarity and Intrinsic Hypothesis 79 -- 5.3 Variogram 80 -- 5.4 Commonly Used Variogram Models 86 -- 5.5 Change of Support, Regularisation and Estimation Variance 87 -- 5.6 Examples of Variogram Computation 89 -- 5.7 Examples of Variograms in Other Fields of Earth Sciences 92 -- 5.8 Computation of Variogram in the Case of Irregular Grid 94 -- Review Questions 94 -- 6 Regularised Models, Volume-Variance Relationships and Economics 95 -- 6.1 Introduction 95 -- 6.2 Different Situations 97 -- 6.3 Steps to Be Followed for the Deconvolution Problem 100 -- 6.4 Example: Fe2O3 Element Values for Core Length of L = 0.5 m 100 -- 6.5 Dispersion vs Block size 105 -- 6.6 Within Variation in Core Length L: Different Cases 107 -- 6.7 Distributions Based on Core Sample Statistics and Derived Ones for Point Samples 108 -- 6.8 Case of Lognormal Distribution and Blocks of Size V 111 -- Review Questions 115 -- 7 Concepts of Dispersion, Extension and Estimation Variances 118 -- 7.1 Variance of Dispersion 118 -- 7.2 Extension Variance 121 -- 7.3 Estimation Variance 123 -- Review Questions 124 -- 8 Kriging Variance and Kriging Procedure 125 -- 8.1 Towards Kriging Variance 125 -- 8.2 Kriging Procedure 127 -- 8.3 Kriging System and Kriging Variance in Terms of γ Notation 130 -- 8.4 Simple Kriging (also known as Linear Kriging with Known Expectation) 130 -- 8.5 Examples 131 -- Review Questions 138 -- 9 Introduction to Advanced Geostatistics 139 -- 9.1 Introduction 139 -- 9.2 Non-stationary Geostatistics 140 -- 9.3 Estimation Based on Conditional Simulation 143 -- 9.4 Kriging Nonstationary Data-the Median Polish Method 144 -- Review Questions 150 -- 10 Computer Software Programs: NORMAL. FOR, LN. FOR, AR. FOR, MA1.FOR, VGRAM. FOR, ORDKRIG. FOR 151.
Subject Earth sciences -- Statistical methods.
ISBN 9781402093791 (cased)
1402093799 (cased)
1402093802 (e-book)
9781402093807 (e-book)