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140122 ||| eng |
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|a 9783662059463
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|a Hörmann, Wolfgang
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| 245 |
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|a Automatic Nonuniform Random Variate Generation
|h Elektronische Ressource
|c by Wolfgang Hörmann, Josef Leydold, Gerhard Derflinger
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| 250 |
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|a 1st ed. 2004
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2004, 2004
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| 300 |
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|a X, 441 p. 89 illus
|b online resource
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|a 1 Introduction -- 2 General Principles in Random Variate Generation -- 3 General Principles for Discrete Distributions -- 4 Transformed Density Rejection (TDR) -- 5 Strip Methods -- 6 Methods Based on General Inequalities -- 7 Numerical Inversion -- 8 Comparison and General Considerations -- 9 Distributions Where the Density Is Not Known Explicitly -- 10 Discrete Distributions -- 11 Multivariate Distributions -- 12 Combination of Generation and Modeling -- 13 Time Series (Authors Michael Hauser and Wolfgang Hörmann) -- 14 Markov Chain Monte Carlo Methods -- 15 Some Simulation Examples -- List of Algorithms -- References -- Author index -- Selected Notation -- Subject Index and Glossary
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| 653 |
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|a Mathematics of Computing
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| 653 |
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|a Computer science / Mathematics
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| 653 |
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|a Computer simulation
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| 653 |
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|a Algorithms
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| 653 |
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|a Computer Modelling
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| 653 |
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|a Computational Mathematics and Numerical Analysis
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| 653 |
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|a Mathematics / Data processing
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| 653 |
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|a Probability Theory
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| 653 |
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|a Mathematical statistics / Data processing
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| 653 |
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|a Statistics and Computing
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| 653 |
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|a Probabilities
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| 700 |
1 |
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|a Leydold, Josef
|e [author]
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| 700 |
1 |
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|a Derflinger, Gerhard
|e [author]
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Statistics and Computing
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| 028 |
5 |
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|a 10.1007/978-3-662-05946-3
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-662-05946-3?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 518
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|a 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 practitioners. 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
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