2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.PR2024
Asymptotic properties of the maximum likelihood estimator for Hidden Markov Models indexed by binary trees
Julien Weibel
We consider hidden Markov models indexed by a binary tree where the hidden state space is a general metric space. We study the maximum likelihood estimator (MLE) of the model param…
math.PR2024★ 1 cited
Ergodic theorem for branching Markov chains indexed by trees with arbitrary shape
Julien Weibel
We prove an ergodic theorem for Markov chains indexed by the Ulam-Harris-Neveu tree over large subsets with arbitrary shape under two assumptions: with high probability, two vertic…
cs.DM2023★ 2 cited
Probability-graphons: Limits of large dense weighted graphs
Romain Abraham, Jean-François Delmas, Julien Weibel
We introduce probability-graphons which are probability kernels that generalize graphons to the case of weighted graphs. Probability-graphons appear as the limit objects to study s…