Skip to Main content Skip to Navigation
Habilitation à diriger des recherches

Récursivité au carrefour de la modélisation de séquences, des arbres aléatoires, des algorithmes stochastiques et des martingales

Abstract : This monograph synthesizes several studies spanning from dynamical systems in the statistical analysis of sequences, to analysis of algorithms in random trees and discrete stochastic processes. These works find applications in various fields ranging from biological sequences to linear regression models, branching processes, through functional statistics and estimates of risk indicators for insurances. All the established results use, in one way or another, the recursive property of the structure under study, by highlighting invariants such as martingales, which are at the heart of this monograph, as tools as well as objects of study.
Complete list of metadata

https://tel.archives-ouvertes.fr/tel-00954528
Contributor : Peggy Cenac Connect in order to contact the contributor
Submitted on : Wednesday, March 5, 2014 - 9:23:07 AM
Last modification on : Thursday, August 4, 2022 - 5:07:58 PM
Long-term archiving on: : Thursday, June 5, 2014 - 10:40:15 AM

Identifiers

  • HAL Id : tel-00954528, version 1

Citation

Peggy Cénac. Récursivité au carrefour de la modélisation de séquences, des arbres aléatoires, des algorithmes stochastiques et des martingales. Statistiques [math.ST]. Université de Bourgogne, 2013. ⟨tel-00954528⟩

Share

Metrics

Record views

213

Files downloads

211