Strong consistency of MLE for finite uniform mixtures when the scale parameters are exponentially small

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dc.creatorTanaka, Kentaro
dc.creatorTakemura, Akimichi
dc.date2004-09-13
dc.date.accessioned2026-07-07T08:06:28Z
dc.date.available2026-07-07T08:06:28Z
dc.descriptionWe consider maximum likelihood estimation of finite mixture of uniform distributions. We prove that maximum likelihood estimator is strongly consistent, if the scale parameters of the component uniform distributions are restricted from below by exp(-n^d), 0 < d < 1, where n is the sample size.
dc.description20 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0409197
dc.identifierhttp://arxiv.org/abs/math/0409197
dc.identifierAnnals of the Institute of Statistical Mathematics, 57 (2005), 1-19
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130616
dc.subjectStatistics Theory
dc.subject62F12
dc.titleStrong consistency of MLE for finite uniform mixtures when the scale parameters are exponentially small
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