Brownian motion simulation: a quantization approach

被引:0
作者
Fort, Jean-Claude [1 ]
Salomon, Luis A. [2 ]
机构
[1] MAP5 Univ Paris Descartes, SPC, F-75006 Paris, France
[2] Univ La Havane, Fac Math, La Havane 10400, Thailand
关键词
simulation of Wiener process; functional quantization; 65C20; 62E17; 65D30; 60G15; SMALL BALL PROBABILITIES; FUNCTIONAL QUANTIZATION; GAUSSIAN-PROCESSES; ASYMPTOTIC-BEHAVIOR; INTEGRAL EQUATIONS; SHARP ASYMPTOTICS; BANACH-SPACES; EIGENVALUES; DISTORTION;
D O I
10.1080/00949655.2014.903490
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this article we suggest a new simulation method for the Wiener process. The main idea is to use functional quantization theory and the decomposition of the Wiener process by Brownian bridges to construct a suitable approximation of the Brownian motion.
引用
收藏
页码:1807 / 1817
页数:11
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