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| Dedications | |
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| Preface to the first edition | |
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| Preface to the second edition | |
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| Acknowledgements | |
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| Introduction | |
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| The Role of Statistics In Engineering And Geology | |
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| The Measurements | |
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| The Medium | |
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| The Physics Of Flow | |
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| Estimation And Uncertainty | |
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| Basic Concepts | |
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| Combinations Of Events | |
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| Probability | |
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| Probability Laws | |
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| Conditional probabilities | |
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| Independence | |
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| Bayes' Theorem | |
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| Univariate Distributions | |
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| The Cumulative Distribution Function | |
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| Probability Distribution Functions | |
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| Functions Of Random Variables | |
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| The Monte Carlo Method | |
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| Sampling And Statistics | |
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| Features Of Single-Variable Distributions | |
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| Noncentered Moments | |
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| Centered Moments | |
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| Combinations And Other Moments | |
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| Common PDF's | |
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| Truncated Data Sets | |
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| Partitioning Data Sets | |
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| Estimators And Their Assessment | |
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| The Elements Of Estimation | |
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| Desirable Properties Of Estimators | |
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| Sensitivity Assessment | |
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| Confidence Intervals | |
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| Properties of Selected Estimators | |
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| Estimators For Nonarithmetic Means | |
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| Flow Associations For Mean Values | |
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| Physical Interpretability In Estimation | |
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| Weighted Estimators | |
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| Measures Of Heterogeneity | |
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| Definition Of Heterogeneity | |
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| Static Measures | |
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| Dynamic Measures | |
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| Hypothesis Tests | |
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| Parametric Hypothesis Tests | |
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| Nonparametric Tests | |
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| Bivariate Analysis: Correlation | |
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| Joint Distributions | |
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| The Covariance Of X And Y | |
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| The Joint Normal Distribution | |
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| The Reduced Major Axis (Rma) And Regression Lines | |
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| Bivariate Analysis: Linear Regression | |
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| The Elements Of Regression | |
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| The Linear Model | |
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| The Least-Squares Method | |
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| Properties Of Slope And Intercept Estimates | |
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| Separately Testing The Precision Of The Slope And Intercept | |
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| Jointly Testing The Precision Of The Slope And Intercept | |
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| Mean Response And New Observation Confidence Intervals | |
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| Residuals Analysis | |
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| The Coefficient Of Determination | |
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| Significance Tests Using The Analysis Of Variance | |
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| The No-Intercept Regression Model | |
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| Other Considerations | |
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| Bivariate Analysis: Further Linear Regression | |
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| Alternatives To The Least-Squares Lines | |
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| Variable Transformations | |
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| Weighted Least Squares | |
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| Reducing The Number Of Variables | |
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| The X-Axis Intercept And Error Bounds | |
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| Improving Correlations For Better Prediction | |
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| Multivariate Regression | |
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| Analysis Of Spatial Relationships | |
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| Data Types | |
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| Nominal Variables | |
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| Measures And Properties Of Autocorrelation | |
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| Estimating Autocorrelation Measures | |
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| Semivariogram Behavior for Geologic Structures | |
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| Semivariograms In Real Media | |
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| Bias And Precision | |
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| Models And Features | |
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| Autocorrelation And The Information Content Of Data | |
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| Modelling Geological Media | |
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| Statistical Point Of View | |
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| Kriging | |
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| Other Kriging Types | |
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| Conditional Simulation | |
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| Simulated Annealing | |
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| Modelling Examples | |
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| Other Conditioning | |
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| The Use Of Statistics In Reservoir Modeling | |
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| Using Statistics For Reservoir Diagnosis | |
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| Using Statistics Without Geology | |
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| Hybrid Modelling | |
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| Model Building Summary | |
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| Nomenclature | |
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| References | |
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| Index | |