Dirichlet forms in simulation

dc.creatorBouleau, Nicolas
dc.date2006-10-16
dc.date.accessioned2026-07-07T07:39:45Z
dc.date.available2026-07-07T07:39:45Z
dc.descriptionEquipping the probability space with a local Dirichlet form with square field operator $Γ$ and generator $A$ allows to improve Monte Carlo computations of expectations, densities, and conditional expectations, as soon as we are able to simulate a random variable $X$ together with $Γ[X]$ and $A[X]$. We give examples on the Wiener space, on the Poisson space and on the Monte Carlo space. When $X$ is real-valued we give an explicit formula yielding the density at the speed of the law of large numbers.
dc.identifierhttps://arxiv.org/abs/math/0610486
dc.identifierhttp://arxiv.org/abs/math/0610486
dc.identifierMonte Carlo Methods and Applications 11 (2005) n4, 385-396
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121571
dc.subjectProbability
dc.subject31C25 60H07 65G99 65C05 65C20
dc.titleDirichlet forms in simulation
dc.typetext

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