A new criterion based on Kullback-Leibler information for space filling designs

dc.creatorJourdan, Astrid
dc.creatorFranco, Jessica
dc.date2009-04-16
dc.date.accessioned2026-07-07T13:04:57Z
dc.date.available2026-07-07T13:04:57Z
dc.descriptionExperimental designs are tools which can drastically reduce the number of simulations required by time-consuming computer codes. One strategy for selecting the values of the inputs, whose response is to be observed, is to choose these values so that they are spread evenly throughout the experimental region, according to ?space filling designs?. In this article, we suggest a new criterion based on the Kullback-Leibler information for design construction. The aim is to minimize the difference between the empirical distribution of the design points and the uniform distribution which is equivalent to maximizing the Shannon entropy. The entropy is estimated by a Monte Carlo method, where the density function is replaced with its kernel density estimator or by using the nearest neighbor distances.
dc.identifierhttps://arxiv.org/abs/0904.2456
dc.identifierhttp://arxiv.org/abs/0904.2456
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227351
dc.subjectStatistics Theory
dc.titleA new criterion based on Kullback-Leibler information for space filling designs
dc.typetext

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