Exponential inequalities for self-normalized martingales with applications

Autor: Bercu, Bernard, Touati, Abderrahmen

Publikováno v: Annals of Applied Probability 2008, Vol. 18, No. 5, 1848-1869

We propose several exponential inequalities for self-normalized martingales similar to those established by De la Pe\~{n}a. The keystone is the introduction of a new notion of random variable heavy on left or right. Applications associated with linea

Externí odkaz: http://arxiv.org/abs/0707.3715

Stability analysis for delayed high-order type of Hopfield neural networks with impulses

Autor: Arbi, Adnène ^a, Aouiti, Chaouki ^a, Chérif, Farouk ^b, Touati, Abderrahmen ^a, Alimi, Adel M. ^{c, ⁎}

Publikováno v: In Neurocomputing 1 October 2015 165:312-329

Principes d'invariance avec limites non browniennes

Autor: Touati, Abderrahmen

Th.--Math., stat.--Paris 13, 1989.

Externí odkaz: http://catalogue.bnf.fr/ark:/12148/cb37618963w

On averaging methods for identification of linear regression models

Autor: Chaabane, Faouzi, Touati, Abderrahmen

Publikováno v: In Comptes Rendus de l'Academie des Sciences Series I Mathematics 2001 333(2):133-138

Généralisation du théorème de la limite centrale presque-sûr pour les martingales vectorielles

Autor: Chaâbane, Faouzi, Maâouia, Faïza, Touati, Abderrahmen

Publikováno v: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (now called Comptes Rendus Mathematique); 1998, Vol. 326 Issue: 2 p229-232, 4p