S. Penda

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20112023

most citedDeviation inequalities, Moderate deviations and some limit theorems for bifurcating Markov chains with application

32 citations · 39 across the 8 of their papers we have counts for

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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…

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

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