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几个常用随机数及其性质的比较 被引量:1

Some Common Random Numbers and Their Properties
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摘要 在期权定价问题中,由于对许多期权无法导出期权定价的解析公式,所以人们也常采用蒙特卡罗模拟方法进行数值模拟,获得期权价格的数值解.随机采样是蒙特卡罗和拟蒙特卡罗方法的核心.蒙特卡罗方法和拟蒙特卡罗方法的成功当然取决于随机模型的构造,但很大程度上也取决于模型计算中随机数的性质. In option pricing, many options can't have option pricing formula, so quasi-monte carlo has been applied to perform numerical simulation to obtain the numerical solution of option pricing. Random sampling is the core of monte carlo and quasi-monte carlo method, whose successes are from the forming of random models, depending on the properties of the random numbers in the model.
作者 周心莲
出处 《郧阳师范高等专科学校学报》 2010年第6期13-17,共5页 Journal of Yunyang Teachers College
关键词 拟蒙特卡罗 Sobol序列 Halton序列 Faure序列 quasi-monte carlo Sobol sequence Halton sequence Faure sequence
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  • 1J. H. Halton. On the efficiency of certain quasi--random sequences of points in evaluation rnulti -- dimensional integral:[J].urner. Math. 1960,(2) :84--90.
  • 2H. Niederreiter. Quasi--monte carlo methods and pseudo random numbers[J]. Bull. Amer. Math. Phys. Sos. 1978,84 (6) :957-1041.
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  • 4H. Niederreiter. Point sets and sequences with small discrepancy[J]. Monatsh. Math. 1987,(104):273--337.
  • 5Galanti S. Jun A. Low- Discrepancy Sequences : Monte Carlo Simulation of Option Prices[J]. Journal of Derivatives. Fall 1997:63-83.

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