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This is a tutorial on some aspects of toric varieties related to their potential use in geometric modeling. We discuss projective toric varieties and their ideals, as well as real toric varieties. In ...
The Herschel Space Observatory of ESA was launched in May 2009 and is in operation since. From its distant orbit around L2 it needs to transmit a huge quantity of information through a very limited ba...
The defiition and sufficiency of the likelihood map are discussed in detail. It is shown that the likelihood map is sdlicient without any restriction on the family of probability measures and that ...
We use the minimal sufficiency of the likelihood map (Fraser et al. 1911 to show the existence of a minimal sufficient statistic with Euclidean range under weak regularity conditions, and to extend ...
Invariant HPD credible sets and MAP estimators     Bayesian statistics  HPD  MAP  Jereys measure  nuisance parameters  reference prior       font style='font-size:12px;'> 2009/9/22
MAP estimators and HPD credible sets are often criticized in the literature because of paradoxical behaviour due to a lack of invariance under reparametrization. In this paper, we propose a new vers...

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