Concepts in Geostatistics

1. Statistics and Probability.- 1.1 Sample Mean and Variance.- 1.2 Elements of Probability.- 1.3 Problems.- 1.4 Searching for Dikes.- 1.5 Rocks in Thin Section.- References.- 2. R- and Q-Mode Factor Analysis.- 2.1 Meaning of Factor.- 2.2 Data Matrices.- 2.3 Factor Analytic Modes.- 2.4 The R-Mode Model.- 2.5 A Practical Example.- 2.6 Factors.- 2.7 The Q-Mode Model.- 2.8 An Example.- 2.9 Oblique Rotation.- 2.10 Practical Examples.- References.- Appendix 1: A Primer on Matrix Algebra.- 3. Some Practical Aspects of Time Series Analysis.- 3.1 Generalities.- 3.2 Polynomial Curve Fitting.- 3.3 Iterated Moving Averages.- 3.4 Fourier Analysis.- 3.5 An Application.- References.- 4. Markov Models in the Earth Sciences.- 4.1 Fundamentals.- 4.2 A Spectrum of Models.- 4.3 The Markov Chain.- 4.4 Geometric Distribution.- 4.5 Probability Trees.- 4.6 Embedded Markov Chains.- 4.7 Extensions.- References.- 5. A Priori And Experimental Approximation Of Simple Ratio Correlations.- 5.1 Ratio Correlations.- 5.2 RTCRSM2.- 5.3 UNNO AND RANEX.- 5.4 Comments on Usage.- References.- Appendix 1: RTCRSM2 Program.- Appendix 2: RANEX and UNNO Programs.- 6. Computer Perspectives in Geology.- 6.1 Generalities.- 6.2 Early Beginnings.- 6.3 Usage in General.- 6.4 Usage in Geology.- 6.5 Patterns and Trends.- References.- 7. Problem Set in Geostatistics.- 7.1 A Paleontologist's Dilemma.- 7.2 Particle Size Distribution in Thin Section.- 7.3 Particle Diameter Sampling Experiment.- 7.4 Linear Regression of Porosity Data. I.- 7.5 Linear Regression of Porosity Data. II.- 7.6 Sunspots and Earthquakes.- 7.7 A Beginning and an End.- 7.8 Helmert Transformation.- 7.9 A Spine to Remember.- 7.10 Nearshore-Offshore Sediments.- References.