Table of Contents

PREFACE
INTRODUTION
What is Computational Statistics?
An Overview of the Book
MATLAB Code
Further Reading
PROBABILITY CONCEPTS
Introduction
Probability
Conditional Probability and Independence
Expectation
Common Distributions
MATLAB Code
Further Reading
Exercises
SAMPLING CONCEPTS
Introduction
Sampling Terminology and Concepts
Sampling Distributions
Parameter Estimation
Empirical Distribution Function
MATLAB Code
Further Reading
Exercises
GENERATING RANDOM VARIABLES
Introduction
General Techniques for Generating Random Variables
Generating Continuous Random Variable
Generating Discrete Random Variables
EXPLORATORY DATA ANALYSIS
Introduction
Exploring Univariate Data
Exploring Bivariate and Trivariate Data
Exploring Multi-Dimensional Data
MONTE CARLO METHODS FOR INFERENTIAL STATISTICS
Introduction
Classical Inferential Statistics
Monte Carlo Methods for Inferential Statistics
Bootstrap Methods
Assessing Estimates of Functions
DATA PARTITIONING
Introduction
Cross-Validation
Jackknife
Better Bootstrap Confidence Intervals
Jackknife-After-Bootstrap
PROBABILITY DENSITY ESTIMATION
Introduction
Histograms
Kernel Density Estimation
Finite Mixtures
Generating Random Variables
STATISTICAL PATTERN RECOGNITION
Introduction
Bayes Classification
Evaluating the Classifier
Classification Trees
Clustering
NONPARAMETRIC REGRESSION
Introduction
Smoothing
Kernel Methods
Regression Trees
MARKOV CHAIN MONTE CARLO METHODS
Introduction
Background
Metropolis-Hastings Algorithms
The Gibbs Sampler
Convergence Monitoring
SPATIAL STATISTICS
Introduction
Visualizing Spatial Point Processes
Exploring First Order and Second Order Properties
Modeling Spatial Point Processes
Simulating Spatial Point Processes
APPENDICES
Introduction to MATLAB
Index of Notation
Projection Pursuit Indexes
MATLAB Code for Trees
List of MATLAB Statistics Toolbox Functions
List of Computational Statistics Toolbox Functions