Testing distribution in deconvolution problems

dc.creatorPommeret, Denys
dc.date2009-01-27
dc.date.accessioned2026-07-07T12:34:49Z
dc.date.available2026-07-07T12:34:49Z
dc.descriptionIn this paper we consider a random variable $Y$ contamined by an independent additive noise $Z$. We assume that $Z$ has known distribution. Our purpose is to test the distribution of the unobserved random variable $Y$. We propose a data driven statistic based on a development of the density of $Y+Z$, which is valid in the discrete case and in the continuous case. The test is illustrated in both cases.
dc.descriptionSubmitted to the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0901.4186
dc.identifierhttp://arxiv.org/abs/0901.4186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217572
dc.subjectStatistics Theory
dc.subject62G10 (Primary) 62F05 (Secondary)
dc.titleTesting distribution in deconvolution problems
dc.typetext

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