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Computer-Aided Simulations of Gaussian Processes and Related Asymptotic Properties

机译:高斯过程和相关渐近性质的计算机辅助模拟

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摘要

A parallel algorithm is implemented to simulate sample paths of stationary normal processes possessing a Butterworth-type covariance, in order to investigate asymptotic properties of the first passage time probability densities for time-varying boundaries. After a self-contained outline of the simulation procedure, computational results are included to show that for large times and for large boundaries the first passage time probability density through an asymptotically periodic boundary is exponentially distributed to an excellent degree of approximation.
机译:为了研究时变边界的第一次通过时间概率密度的渐近性质,采用并行算法来模拟具有Butterworth型协方差的平稳常态过程的样本路径。在模拟过程的独立概述之后,包括了计算结果,以表明对于较大时间和较大边界,通过渐近周期性边界的第一通过时间概率密度以极好的近似度呈指数分布。

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