4 citations · 5 across the 4 of their papers we have counts for
4 papers
Kernel estimation of the transition density in bifurcating Markov chains
S. Valère Bitseki Penda
We study the kernel estimator of the transition density of bifurcating Markov chains. Under some ergodic and regularity properties, we prove that this estimator is consistent and a…
Central limit theorem for bifurcating Markov chains: the mother-daughters triangles case
S. Valère Bitseki Penda
The main objective of this article is to establish a central limit theorem for additive three-variable functionals of bifurcating Markov chains. We thus extend the central limit th…
Central limit theorem for kernel estimator of invariant density in bifurcating Markov chains models
S. Valère Bitseki Penda, Jean-François Delmas
Bifurcating Markov chains (BMC) are Markov chains indexed by a full binary tree representing the evolution of a trait along a population where each individual has two children. Mot…
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…