15 citations · 17 across the 6 of their papers we have counts for
7 papers
Ergodicity of some dynamics of DNA sequences
Mikael Falconnet, Nina Gantert, Ellen Saada
We define interacting particle systems on configurations of the integer lattice (with values in some finite alphabet) by the superimposition of two dynamics: a substitution process…
Maximum likelihood estimation in the context of a sub-ballistic random walk in a parametric random environment
Mikael Falconnet, Dasha Loukianova, Arnaud Gloter
We consider a one dimensional sub-ballistic random walk evolving in a parametric i.i.d. random environment. We study the asymptotic properties of the maximum likelihood estimator (…
Maximum likelihood estimator consistency for recurrent random walk in a parametric random environment with finite support
Francis Comets, Mikael Falconnet, Oleg Loukianov +1
We consider a one-dimensional recurrent random walk in random environment (RWRE) when the environment is i.i.d. with a parametric, finitely supported distribution. Based on a singl…
Asymptotic normality and efficiency of the maximum likelihood estimator for the parameter of a ballistic random walk in a random environment
Mikael Falconnet, Dasha Loukianova, Catherine Matias
We consider a one dimensional ballistic random walk evolving in a parametric independent and identically distributed random environment. We study the asymptotic properties of the m…
Maximum likelihood estimator consistency for ballistic random walk in a parametric random environment
Francis Comets, Mikael Falconnet, Oleg Loukianov +2
We consider a one dimensional ballistic random walk evolving in an i.i.d. parametric random environment. We provide a maximum likelihood estimation procedure of the environment par…
Priors for the Bayesian star paradox
Mikael Falconnet
We show that the Bayesian star paradox, first proved mathematically by Steel and Matsen for a specific class of prior distributions, occurs in a wider context including less regula…
Phylogenetic distances for neighbour dependent substitution processes
Mikael Falconnet
We consider models of nucleotidic substitution processes where the rate of substitution at a given site depends on the state of its neighbours. For a wide class of such nonreversib…