Exposés prévus : le 8 Février, École Polytechnique, Amphithéâtre Sauvy
Exposés prévus : le 9 Février, Université UPMC, barre 15-16 salle 101 (1er étage)
Les exposés auront lieu
- le 8 février
à l'École Polytechnique, Amphithéâtre Sauvy, près du Hall et de l'arrivée du RER et de la navette (arrêt Polytechnique-Lozère), pas besoin de badge ;
- le 9 février
à l'Université Pierre et Marie Curie (UPMC),barre 15-16 salle 101 (1er étage).
Résumés
- Razeeh Sainudiin :
Evaluating the likelihood function of parameters in highly-structured population genetic models
from extant deoxyribonucleic acid (DNA) sequences is computationally prohibitive. In such cases,
one may approximately infer the parameters from summary statistics of the data such as the
site-frequency-spectrum (SFS) or its linear combinations. Such methods are known as approximate
likelihood or Bayesian computations. Using a controlled lumped Markov chain and computational
commutative algebraic methods we compute the exact likelihood of the SFS and many classical linear
combinations of it at a non-recombining locus that is neutrally evolving under the infi™nitely-many-sites
mutation model.
Using a partially ordered graph of coalescent experiments around the SFS we provide a decision-theoretic framework for approximate sufficiency. We also extend a family of classical hypothesis tests of standard neutrality at a non-recombining locus based on the SFS to a more powerful version that conditions on the topological information provided by the SFS.
Keywords: controlled lumped Markov chain, unlabelled coalescent, random integer partition sequences,
partially ordered experiments, population genomic inference population genetic Markov bases,
approximate Bayesian computation done exactly.
- Chunmao Huang :
Let Z_n be a supercritical branching
process in a random environment and W be the limit of the normalized
population size. We
show large and moderate deviation principles for the sequence log Z_n
(with appropriate normalization). For the proof, we calculate the critical
value for the existence of harmonic moments of W, and show an equivalence
for all the moments of Z_n. A central limit theorem is also established.
Informations pratiques
Last modified: 25 Jan. 2011