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Mathematics - Probability Theory and Stochastic Processes | Stochastic Simulation: Algorithms and Analysis

Stochastic Simulation: Algorithms and Analysis

Asmussen, Søren, Glynn, Peter W.

2007, XIV, 476 p.

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  • First rigorous and comprehensive advanced book on stochastic simulation
  • Large amount of exercises and illustrations included
  • Top worldwide experts in the field

Sampling-based computational methods have become a fundamental part of the numerical toolset of practitioners and researchers across an enormous number of different applied domains and academic disciplines. This book provides a broad treatment of such sampling-based methods, as well as accompanying mathematical analysis of the convergence properties of the methods discussed. The reach of the ideas is illustrated by discussing a wide range of applications and the models that have found wide usage. The first half of the book focuses on general methods, whereas the second half discusses model-specific algorithms.

Given the wide range of examples, exercises and applications students, practitioners and researchers in probability, statistics, operations research, economics, finance, engineering as well as biology and chemistry and physics will find the book of value.

Søren Asmussen is a professor of Applied Probability at Aarhus University, Denmark and Peter Glynn is the Thomas Ford professor of Engineering at Stanford University.

Content Level » Research

Keywords » Analysis - Gaussian process - Lévy process - Markov chain - Monte Carlo method - Sage - Stochastic Differential Equations - Stochastic Optimization - algorithms - operations research - optimization

Related subjects » Applications - Operations Research & Decision Theory - Probability Theory and Stochastic Processes - Production & Process Engineering - Quantitative Finance - Statistical Theory and Methods

Table of contents 

General Methods and Algorithms.- Generating Random Objects.- Output Analysis.- Steady-State Simulation.- Variance-Reduction Methods.- Rare-Event Simulation.- Derivative Estimation.- Stochastic Optimization.- Algorithms for Special Models.- Numerical Integration.- Stochastic Di3erential Equations.- Gaussian Processes.- Lèvy Processes.- Markov Chain Monte Carlo Methods.- Selected Topics and Extended Examples.- What This Book Is About.- What This Book Is About.

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