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Preface | |
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Introduction | |
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What Is Computational Statistics? | |
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An Overview of the Book | |
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Matlab Code | |
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Further Reading | |
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Probability Concepts | |
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Introduction | |
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Probability | |
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Conditional Probability and Independence | |
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Expectation | |
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Common Distributions | |
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Matlab Code | |
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Further Reading | |
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Exercises | |
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Sampling Concepts | |
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Introduction | |
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Sampling Terminology and Concepts | |
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Sampling Distributions | |
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Parameter Estimation | |
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Empirical Distribution Function | |
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Matlab Code | |
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Further Reading | |
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Exercises | |
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Generating Random Variables | |
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Introduction | |
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General Techniques for Generating Random Variables | |
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Generating Continuous Random Variables | |
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Generating Discrete Random Variables | |
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Matlab Code | |
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Further Reading | |
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Exercises | |
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Exploratory Data Analysis | |
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Introduction | |
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Exploring Univariate Data | |
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Exploring Bivariate and Trivariate Data | |
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Exploring Multi-Dimensional Data | |
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Matlab Code | |
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Further Reading | |
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Exercises | |
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Monte Carlo Methods for Inferential Statistics | |
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Introduction | |
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Classical Inferential Statistics | |
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Monte Carlo Methods for Inferential Statistics | |
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Bootstrap Methods | |
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Matlab Code | |
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Further Reading | |
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Exercises | |
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Data Partitioning | |
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Introduction | |
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Cross-Validation | |
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Jackknife | |
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Better Bootstrap Confidence Intervals | |
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Jackknife-After-Bootstrap | |
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Matlab Code | |
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Further Reading | |
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Exercises | |
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Probability Density Estimation | |
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Introduction | |
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Histograms | |
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Kernel Density Estimation | |
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Finite Mixtures | |
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Generating Random Variables | |
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Matlab Code | |
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Further Reading | |
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Exercises | |
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Statistical Pattern Recognition | |
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Introduction | |
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Bayes Decision Theory | |
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Evaluating the Classifier | |
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Classification Trees | |
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Clustering | |
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Matlab Code | |
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Further Reading | |
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Exercises | |
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Nonparametric Regression | |
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Introduction | |
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Smoothing | |
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Kernel Methods | |
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Regression Trees | |
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Matlab Code | |
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Further Reading | |
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Exercises | |
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Markov Chain Monte Carlo Methods | |
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Introduction | |
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Background | |
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Metropolis-Hastings Algorithms | |
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The Gibbs Sampler | |
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Convergence Monitoring | |
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Matlab Code | |
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Further Reading | |
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Exercises | |
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Spatial Statistics | |
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Introduction | |
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Visualizing Spatial Point Processes | |
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Exploring First-order and Second-order Properties | |
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Modeling Spatial Point Processes | |
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Simulating Spatial Point Processes | |
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Matlab Code | |
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Further Reading | |
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Exercises | |
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Introduction to Matlab | |
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What Is Matlab? | |
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Getting Help in Matlab | |
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File and Workspace Management | |
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Punctuation in Matlab | |
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Arithmetic Operators | |
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Data Constructs in Matlab | |
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Script Files and Functions | |
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Control Flow | |
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Simple Plotting | |
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Contact Information | |
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Index of Notation | |
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Projection Pursuit Indexes | |
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Indexes | |
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Matlab Source Code | |
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Matlab Code | |
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Bootstrap Confidence Interval | |
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Adaptive Mixtures Density Estimation | |
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Classification Trees | |
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Regression Trees | |
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Matlab Statistics Toolbox | |
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Computational Statistics Toolbox | |
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Data Sets | |
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References | |
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Index | |