Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Piau, Didier"'
Autor:
Moinard, Sylvain, Oudet, Edouard, Piau, Didier, Coissac, Eric, Gonindard-Melodelima, Christelle
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 of these are based on stochastic optimization processes that require
Externí odkaz:
http://arxiv.org/abs/2210.06520
Autor:
Bérard, Jean, Piau, Didier
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 framework of the graphical construction of the dynamics based on Poiss
Externí odkaz:
http://arxiv.org/abs/1206.4983
Autor:
Piau, Didier
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 Bayesian procedure with a more na\"ive one, based on hitting times of some ra
Externí odkaz:
http://arxiv.org/abs/0806.1173
Autor:
Bérard, Jean, Piau, Didier
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 equilibrium and the decay of correlations at equilibrium. A motivation is to
Externí odkaz:
http://arxiv.org/abs/0712.0072
Autor:
Piau, Didier
Publikováno v:
Annals of Applied Probability 2006, Vol. 16, No. 4, 2078-2097
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 only if the initial population $k$ is greater than a first threshold
Externí odkaz:
http://arxiv.org/abs/math/0511058
Autor:
Piau, Didier
We study the iterated Galton-Watson process (IGW), possibly with thinning, introduced by Gawe{\l}and Kimmel to model the number of repeats of DNA triplets during some genetic disorders. If the process involves some thinning, then extinction and explo
Externí odkaz:
http://arxiv.org/abs/math/0510037
Autor:
Piau, Didier
We study some stochastic models of physical mapping of genomic sequences. Our starting point is a global construction of the process of the clones and of the process of the anchors which are used to map the sequence. This yields explicit formulas for
Externí odkaz:
http://arxiv.org/abs/math/0510036
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 substitutions recently introduced and studied empirically by molecular biologists.
Externí odkaz:
http://arxiv.org/abs/math/0510034
Autor:
Piau, Didier
We study the harmonic moments of Galton-Watson processes, possibly non homogeneous, with positive values. Good estimates of these are needed to compute unbiased estimators for non canonical branching Markov processes, which occur, for instance, in th
Externí odkaz:
http://arxiv.org/abs/math/0510035
Autor:
Piau, Didier
Baum-Katz theorem asserts that the Cesaro means of i.i.d. increments distributed like X r-converge if and only if |X|^{r+1} is integrable. We generalize this, and we unify other results, by proving that the following equivalence holds, if and only if
Externí odkaz:
http://arxiv.org/abs/math/0510043