The aim of this study is to clarify the consequences of recent theoretical results for the numerical computation of expectation by the shift method, and in particular to yield sufficient criteria for the existence of speed of convergence of the type `iterated logarithm' in several situations. We deepen the case of the Wiener space because it contains many situations useful in applications.
Publié le : 1991-07-05
Classification:
shift,
regodic theory,
iterated logarithm,
Monte Carlo,
Wiener space,
MSC 65Cxx 37N30,
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
@article{hal-00107444,
author = {Bouleau, Nicolas},
title = {On numerical integration by the shift and application to Wiener space},
journal = {HAL},
volume = {1991},
number = {0},
year = {1991},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00107444}
}
Bouleau, Nicolas. On numerical integration by the shift and application to Wiener space. HAL, Tome 1991 (1991) no. 0, . http://gdmltest.u-ga.fr/item/hal-00107444/