32 citations · 39 across the 8 of their papers we have counts for
3 papers · 1 filter
Adaptive estimation for bifurcating Markov chains
S. Valère Bitseki Penda, Marc Hoffmann, Adélaïde Olivier
In a first part, we prove Bernstein-type deviation inequalities for bifurcating Markov chains (BMC) under a geometric ergodicity assumption, completing former results of Guyon and…
Autoregressive Functions Estimation in Nonlinear Bifurcating Autoregressive Models
Siméon Valère Bitseki Penda, Adélaïde Olivier
Bifurcating autoregressive processes, which can be seen as an adaptation of au-toregressive processes for a binary tree structure, have been extensively studied during the last dec…
Transportation cost-information and concentration inequalities for bifurcating Markov chains
Siméon Valère Bitseki Penda, Mikael Escobar-Bach, Arnaud Guillin
We investigate the transportation cost-information inequalities for bifurcating Markov chains which are a class of processes indexed by binary tree. These processes provide models…