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Titlebook: Automatic Nonuniform Random Variate Generation; Wolfgang Hörmann,Josef Leydold,Gerhard Derflinger Book 2004 Springer-Verlag Berlin Heidelb

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期刊全称Automatic Nonuniform Random Variate Generation
影响因子2023Wolfgang Hörmann,Josef Leydold,Gerhard Derflinger
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发行地址Includes supplementary material:
学科分类Statistics and Computing
图书封面Titlebook: Automatic Nonuniform Random Variate Generation;  Wolfgang Hörmann,Josef Leydold,Gerhard Derflinger Book 2004 Springer-Verlag Berlin Heidelb
影响因子.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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General Principles in Random Variate Generation of universal algorithms. Most of these methods can also be used for discrete distributions which will be presented in Chap. 3. These methods can also be used as starting points for compiling algorithms to generate random vectors, which will be done in Chap. 11.
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