Les processus de surveillance. Étude et simulation d'un cas
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A. Behtane (1981)
RAIRO - Operations Research - Recherche Opérationnelle
Daniel Commenges (2003)
SORT
We consider the mixed dicrete-continuous pattern of observation in a multi-state model; this is a classical pattern because very often clinical status is assessed at discrete visit times while time of death is observed exactly. The likelihood can easily be written heuristically for such models. However a formal proof is not easy in such observational patterns. We give a rigorous derivation al the likelihood for the illness-death model based on applying Jacod´s formula to an observed bivariate counting...
Halima Boudada, Sarra Leulmi (2023)
Kybernetika
In this work, we introduce a local linear estimator of the conditional mode for a random real response variable which is subject to left-truncation by another random variable where the covariate takes values in an infinite dimensional space. We first establish both of pointwise and uniform almost sure convergences, with rates, of the conditional density estimator. Then, we deduce the strong consistency of the obtained conditional mode estimator. We finally illustrate the outperformance of our method...
Vanderperre, Edmond J., Makhanov, Stanislav S. (2005)
Mathematical Problems in Engineering
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