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040 _aCSL
_beng
_cCSL
041 _aeng
084 _aB281g Q1
_qCSL
100 _a Kroese, Dirk P.
_eauthor.
_9815645
245 0 _aHandbook of Monte Carlo methods
260 _aNew Jersey :
_bJohn Wiley,
_c2011.
300 _axix, 743p.
490 _aWiley Series in Probability and Statistics
500 _aIncludes bibliographical references ; Index 727-743p.
520 _aA comprehensive overview of Monte Carlo simulation that explores the latest topics, techniques, and real-world applications More and more of today's numerical problems found in engineering and finance are solved through Monte Carlo methods. The heightened popularity of these methods and their continuing development makes it important for researchers to have a comprehensive understanding of the Monte Carlo approach. Handbook of Monte Carlo Methods provides the theory, algorithms, and applications that helps provide a thorough understanding of the emerging dynamics of this rapidly-growing field. The authors begin with a discussion of fundamentals such as how to generate random numbers on a computer. Subsequent chapters discuss key Monte Carlo topics and methods, including: Random variable and stochastic process generation Markov chain Monte Carlo, featuring key algorithms such as the Metropolis-Hastings method, the Gibbs sampler, and hit-and-run Discrete-event simulation Techniques for the statistical analysis of simulation data including the delta method, steady-state estimation, and kernel density estimation Variance reduction, including importance sampling, latin hypercube sampling, and conditional Monte Carlo Estimation of derivatives and sensitivity analysis Advanced topics including cross-entropy, rare events, kernel density estimation, quasi Monte Carlo, particle systems, and randomized optimization The presented theoretical concepts are illustrated with worked examples that use MATLAB (R), a related Web site houses the MATLAB (R) code, allowing readers to work hands-on with the material and also features the author's own lecture notes on Monte Carlo methods. Detailed appendices provide background material on probability theory, stochastic processes, and mathematical statistics as well as the key optimization concepts and techniques that are relevant to Monte Carlo simulation. Handbook of Monte Carlo Methods is an excellent reference for applied statisticians and practitioners working in the fields of engineering and finance who use or would like to learn how to use Monte Carlo in their research. It is also a suitable supplement for courses on Monte Carlo methods and computational statistics at the upper-undergraduate and graduate levels.
650 _aMonte carlo methods.
_9714969
650 _aStatistics.
700 _a Taimre, Thomas
_eco-author.
_9815646
700 _a Botev, Zdravko I.
_eco-author.
_9815647
942 _hB281g Q1
_cTEXL
_2CC
_n0
999 _c13302
_d13302