Automatic nonuniform random variate generation

Non-uniform random variate generation is an established research area in the intersection of mathematics, statistics and computer science. Although random variate generation with popular standard distributions have become part of every course on discrete event simulation and on Monte Carlo methods the recent concept of universal (also called automatic or black-box) random variate generation can only be found dispersed in literature. This new concept has great practical advantages that are little known to most simulation pracitioners. Being unique in its overall organization the book covers not only the mathematical and statistical theory but also deals with the implementation of such methods. All algorithms introduced in the book are designed for practical use in simulation and have been coded and made available by the authors. Examples of possible applications of the presented algorithms (including option pricing, VaR and Bayesian statistics) are presented at the end of the book. TOC:General Principles in Random Variate Generation.- Transformed Density Rejection (TDR).- Strip Methods.- Methods Based on General Inequalities.- Numerical Inversion.- Empirical Comparison of Methods for Continous Distributions.- Distributions where the Density is not known explicitly.- Discrete Distributions.- Multivariate Distributions.- Combination of Generation and Modeling.- Time Series.- Markov Chain Monte Carlo Methods.- Some Simulation Examples

Standort
Deutsche Nationalbibliothek Frankfurt am Main
ISBN
9783540406525
3540406522
Maße
24 cm
Umfang
X, 441 S.
Sprache
Englisch
Anmerkungen
graph. Darst.
Literaturverz. S. 415 - 428

Schlagwort
Zufallsgenerator

Ereignis
Veröffentlichung
(wo)
Berlin, Heidelberg, New York, Hong Kong, London, Milan, Paris, Tokyo
(wer)
Springer
(wann)
2004
Urheber

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Letzte Aktualisierung
11.03.2025, 12:10 MEZ

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  • 2004

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