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2 papers
math.PR2026★ 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…
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…