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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2009 Volume 12, Number 4, Pages 361–374 (Mi sjvm132)

This article is cited in 7 papers

Statistical simulation methods for a nonhomogeneous Poisson ensemble

T. A. Averinaab

a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University, Novosibirsk

Abstract: In this paper, some Monte-Carlo methods for modeling homogeneous and nonhomogeneous Poisson ensembles are offered. Generalization of the Maximum Cross-section Method is constructed and proved for modeling nonhomogeneous Poisson ensembles of points.

Key words: Poisson random process, Poisson ensemble, stochastic differential equations, Monte-Carlo methods.

UDC: 519.245

Received: 04.12.2008
Revised: 03.02.2009


 English version:
Numerical Analysis and Applications, 2009, 2:4, 289–301

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