When and how an error yields a Dirichlet form

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dc.creatorBouleau, Nicolas
dc.date2006-10-12
dc.date.accessioned2026-07-07T07:39:44Z
dc.date.available2026-07-07T07:39:44Z
dc.descriptionWe consider a random variable $Y$ and approximations $Y\_n$, defined on the same probability space with values in the same measurable space as $Y$. We are interested in situations where the approximations $Y\_n$ allow to define a Dirichlet form in the space $L^2(P\_Y)$ where $P\_Y$ is the law of $Y$. Our approach consists in studying both biases and variances. The article attempts to propose a general theoretical framework. It is illustrated by several examples.
dc.description44p
dc.identifierhttps://arxiv.org/abs/math/0610389
dc.identifierhttp://arxiv.org/abs/math/0610389
dc.identifierJournal of Functional Analysis 240 (2006) 445-494
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121565
dc.subjectFunctional Analysis
dc.subjectProbability
dc.subject60Fxx 65Cxx 31C25 60H07
dc.titleWhen and how an error yields a Dirichlet form
dc.typetext

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