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Dspace de universite Djillali Liabes de SBA >
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http://hdl.handle.net/123456789/2342
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| Titre: | Convergence presque complète des suites de variables aléatoires dépendantes, Applications aux modèles autorégressifs non linéaires. |
| Auteur(s): | BOULENOIR, Zouaouia
Encadreur: BENAISSA, SAMIR |
| Mots-clés: | Autoregressive process
complete convergence
estimation
tail probabilities
linearly negative quadrant dependent sequence
random variables
weighted sums
nonlinear autoregressive models
extended negatively dependent sequence
exponential inequality
autoregressive Hilbertian process
widely orthant dependent random variables |
| Date de publication: | 17-sep-2018 |
| Résumé: | The dissertation is composed of four chapters. In the first chapter, we explain the basic notions and highlight some of the objectives of time series analysis. In chapter two, we study a new concentration inequality and complete convergence of weighted sums for arrays of row-wise linearly negative quadrant dependent random variables, then in chapter three we demonstrate almost complete convergence of dependant random variables sequences with application to non-linear autoregressive processes model. Regarding the fourth and last chapter, we discuss the almost complete convergence of the value of the process of autoregressive Hilbertian of order one. |
| Description: | Doctorat en sciences |
| URI/URL: | http://hdl.handle.net/123456789/2342 |
| Collection(s) : | Mathématiques
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