| An early experiment that conceives the basic idea of Monte Carlo compu-tatios is known as "Buffon‘needle",first stated by Georges Louis Leclerc Comte de Buffon in 1777.In this well-known experiment,on throws a needle of length l onto a flat surface with a grid of parallel lines with spacing.It is easy to compute that,under ideal conditions,the chance that the needle will intersect one of the lines in .Thus,if we lep pN be the Proportion of "intersects"in N throws,we can have an estimate of π as wjocj will"converge"to π as N increases to infinity. |
| Preface 1 Introduction and Examples 1.1 The Need of Monte Carlo Techniques 1.2 Scope and Outline of the Book 1.3 Computations in Statistical Physics 1.4 Molecular Structure Simulation 1.5 Bioinformatics: Finding Weak Repetitive Patterns 1.6 Nonlinear Dynamic System: Target Tracking 1.7 Hypothesis Testing for Astronomical Observations 1.8 Bayesian Inference of Multilevel Models 1.9 Monte Carlo and Missing Data Problems 2 Basic Principles: Rejection， Weighting， and Others 2.1 Generating Simple Random Variables 2.2 The Rejection Method 2.3 Variance Reduction Methods& |
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