Sur quelques fonctionnelles des forêts de branchement multitypes

Abstract : This thesis is devoted to the study of some characteristics of a population consisting of individuals of several types which evolve according to a multitype branching model. In other words, each individual lives a certain time and gives birth to a random number of individuals at the end of its life, following a probability law which depends only on the individual’s type, independently of the others individuals. More precisely, we are interested in in the statistical aspects of mutations and the individuals having a given offspring in the population of interest. The problems of enumeration of multitype forests also form a motivation of this thesis’s work.
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Thi Ngoc Anh Nguyen. Sur quelques fonctionnelles des forêts de branchement multitypes. Probabilités [math.PR]. Université d'Angers, 2016. Français. ⟨NNT : 2016ANGE0016⟩. ⟨tel-01461615⟩

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