Titlebook: Random Number Generation and Monte Carlo Methods; James E. Gentle Textbook 19981st edition Springer-Verlag New York 1998 Markov chain Mont

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rof. Jian Sun).9. Ionic Liquids in Materials Science (Section Editors: Prof. Sheng Dai and Prof. Tao Wang).10. Ionic Liquids in Polymer Science (Section Editors: Asso. Prof. Jinming Zhang and Prof. Jun Zhang).11. Ionic Liquids in Environmental Science (Section Editors: Prof. Tiancheng Mu, Prof. Arun

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https://doi.org/10.1007/978-1-4757-2960-3Markov chain Monte Carlo; Monte Carlo Methods; Monte Carlo method; Random Number Generation; Simula; Stat

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Monte Carlo Methods,The most common applications of Monte Carlo methods in numerical computations are for evaluating integrals. Monte Carlo methods can also be used in solving systems of equations (see Chapter 7 of Hammersley and Handscomb, 1964, for example), but other methods are generally better, especially for matrices that are not sparse.

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Transformations of Uniform Deviates: General Methods,onuniform random variable might be obtained from a single uniform variate or from a sequence of uniforms. Some methods that use a sequence of uniforms require that the sequence be independent; other methods use a random walk sequence, a Markov chain.

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