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Nonparametric estimation of the jump rate for non-homogeneous marked renewal processes

Romain AzaïsFrançois DufourAnne Gégout-Petit — 2013

Annales de l'I.H.P. Probabilités et statistiques

This paper is devoted to the nonparametric estimation of the jump rate and the cumulative rate for a general class of non-homogeneous marked renewal processes, defined on a separable metric space. In our framework, the estimation needs only one observation of the process within a long time. Our approach is based on a generalization of the multiplicative intensity model, introduced by Aalen in the seventies. We provide consistent estimators of these two functions, under some assumptions related to...

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