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Conditions d'existence des processus déterminantaux et permanentaux

Abstract : We establish necessary and sufficient conditions for the existence and infinite divisibility of alpha-determinantal processes and, when alpha is positive, of their underlying intensity (as Cox process). When the space is finite, these distributions correspond to multidimensional binomial, negative binomial and gamma distributions. We make an in-depth study of these last two cases with a non necessarily symmetric kernel.
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Franck Maunoury. Conditions d'existence des processus déterminantaux et permanentaux. Probabilités [math.PR]. Université Sorbonne Paris Cité, 2018. Français. ⟨NNT : 2018USPCC028⟩. ⟨tel-02121575⟩

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