S. Penda

collaborators

3 papers

math.PR2021

Moderate deviation principles for kernel estimator of invariant density in bifurcating Markov chains models

S. Valère Bitseki Penda

Bitseki and Delmas (2021) have studied recently the central limit theorem for kernel estimator of invariant density in bifurcating Markov chains models. We complete their work by p…

math.PR2021

Central limit theorem for bifurcating Markov chains under $L^{2}$ -ergodic conditions

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. We…

math.PR2019

A phase transition for large values of bifurcating autoregressive models

Vincent Bansaye, S. Valère Bitseki Penda

We describe the asymptotic behavior of the number $Z_{n} [a_{n}, \infty)$ of individuals with a large value in a stable bifurcating autoregressive process. The study of the associated fi…

Moderate deviation principles for kernel estimator of invariant density in bifurcating Markov chains models

Central limit theorem for bifurcating Markov chains under L2-ergodic conditions

A phase transition for large values of bifurcating autoregressive models

Central limit theorem for bifurcating Markov chains under $L^{2}$ -ergodic conditions