activity
20052022
most citedConfidence intervals for nonhomogeneous branching processes and polymerase chain reactions

16 citations · 23 across the 12 of their papers we have counts for

collaborators

12 papers

stat.ME2022★ 1 cited

The Fixed Landscape Inference MethOd (flimo): a versatile alternative to Approximate Bayesian Computation, faster by several orders of magnitude

Sylvain Moinard, Edouard Oudet, Didier Piau +2

Modelling in biology must adapt to increasingly complex and massive data. The efficiency of the inference algorithms used to estimate model parameters is therefore questioned. Many…

math.PR2012

Coupling from the past times with ambiguities and perturbations of interacting particle systems

Jean Bérard, Didier Piau

We discuss coupling from the past techniques (CFTP) for perturbations of interacting particle systems on the d-dimensional integer lattice, with a finite set of states, within the…

math.PR2008

Asymptotics of posteriors for binary branching processes

Didier Piau

We compute the posterior distributions of the initial population and parameter of binary branching processes, in the limit of a large number of generations. We compare this Bayesia…

math.PR2007★ 1 cited

Coupling times with ambiguities for particle systems and applications to context-dependent DNA substitution models

Jean Bérard, Didier Piau

We define a notion of coupling time with ambiguities for interacting particle systems, and show how this can be used to prove ergodicity and to bound the convergence time to equili…

math.PR2005★ 1 cited

Harmonic continuous-time branching moments

Didier Piau

We show that the mean inverse populations of nondecreasing, square integrable, continuous-time branching processes decrease to zero like the inverse of their mean population if and…

math.PR2005★ 2 cited

Solvable models of neighbor-dependent nucleotide substitution processes

Jean Bérard, Jean-Baptiste Gouéré, Didier Piau

We prove that a wide class of models of Markov neighbor-dependent substitution processes on the integer line is solvable. This class contains some models of nucleotide substitution…