Computational Statistics

Contents

Introduction v

1 Basic Data Analysis 1

1.1 R Programming Conventions 1

1.2 Generation of Random Numbers and Patterns 4

1.2.1 Random Numbers 4

1.2.2 Patterns 9

1.3 Case Study: Distribution Diagnostics 10

1.3.1 Distribution Functions 13

1.3.2 Histograms 17

Barcharts 21

1.3.3 Statistics of Distribution Functions; Kolmogorov-Smirnov Tests 22

Monte Carlo Confidence Bands 23

1.3.4 Statistics of Histograms and Related Plots; χ

2

-Tests 29

1.4 Moments and Quantiles 34

1.5 R Complements 39

1.5.1 Random Numbers 39

1.5.2 Graphical Comparisons 40

1.5.3 Functions 46

1.5.4 Enhancing Graphical Displays 50

1.5.5 R Internals 53

parse 53

eval 53

print 54

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