127 citations · 414 across the 48 of their papers we have counts for
3 papers · 1 filter
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…
Fast adaptive estimation of log-additive exponential models in Kullback-Leibler divergence
Cristina Butucea, Jean-François Delmas, Anne Dutfoy +1
We study the problem of nonparametric estimation of density functions with a product form on the domain $\triangle=\{( x_1, \ldots, x_d)\in \mathbb{R}^d, 0\leq x_1\leq \dots \leq x…
Maximum entropy copula with given diagonal section
Cristina Butucea, Jean-François Delmas, Anne Dutfoy +1
We consider copulas with a given diagonal section and compute the explicit density of the unique optimal copula which maximizes the entropy. In this sense, this copula is the least…