http://depot.umc.edu.dz/handle/123456789/8691 Fri, 23 Oct 2026 21:21:21 GMT 2026-10-23T21:21:21Z http://depot.umc.edu.dz/handle/123456789/14850 Estimation non paramétrique dans des modèles géométriques : applications. Djeniba, Hadjer; Leulmi, Sarra The purpose of this thesis is to investigate the nonparametric estimation of the classical and relative regression of the real valued random variable Y , conditional on a real valued covariate X, under independent and identically distributed data, as well as under strong mixing and η− weak dependence with a geometric rate. We established the necessary assumptions to prove the almost complete pointwise and uniform convergence of the proposed estimators, along with their rates of convergence. To illustrate and validate these theoretical results, a simulation study was conducted for both the i.i.d. case and the weakly dependent data with a geometric rate. Wed, 19 Nov 2025 00:00:00 GMT http://depot.umc.edu.dz/handle/123456789/14850 2025-11-19T00:00:00Z http://depot.umc.edu.dz/handle/123456789/14823 Généralisation de certaines inégalités intégrales non linéaires avec retard et applications. Kriket, Salah; Boudeliou, Ammar Gronwall-Bellman inequalities and their various generalizations that give explicit bounds on unknown functions provide a very useful and important device in the study of many qualitative properties of solutions of differential equations, integral equations and integrodifferential equations. The purpose of this work is to give an exposition of some classical and modern results about integral inequalities, and establish some new nonlinear integral inequalities with delay in two independent variables, which generalize some known inequalities recently obtained. These results can be used as handy tools to study the boundedness of solutions of Volterra integral equations. Applications are given to illustrate how our results can be applied to study the boundedness of the solutions of certain Volterra equations. The research on this topic is also large and continues until now, the impressive number of publications on this subject testifies to this. Thu, 16 Nov 2023 00:00:00 GMT http://depot.umc.edu.dz/handle/123456789/14823 2023-11-16T00:00:00Z http://depot.umc.edu.dz/handle/123456789/14811 Control and synchronization in fractional-order systems. Talbi, Ibtissem; Ouannas, Adel; Berkane, Abdelhak In this graduation thesis, we have considered different classes of fractional order discrete time systems. The proposed systems are defined using Caputo h-difference operator, in addition, we have studied the existence of chaos and its control and synchronization. As a conclusive remark, we would point out that the main contributions and innovations of this thesis can be summarized as follows, novel fractional-order discrete time systems based on the Caputo h-difference operator, chaos synchronization using linear control laws, and chaos stabilization based on very simple controllers. Mon, 17 Jul 2023 00:00:00 GMT http://depot.umc.edu.dz/handle/123456789/14811 2023-07-17T00:00:00Z http://depot.umc.edu.dz/handle/123456789/14809 Estimation non-paramétrique de la fonction de répartition Bivariée Dib, Khaled; Messaci, Fatiha; Bouezmarni, Taoufik In several areas of statistical application, the estimation of the bivariate distribution function plays an essential role, We propose such estimator based on Bernstein’s approach in the presence of right censored data.The results of the asymptotic behavior of our estimator have been established, Almost sure convergence, bias as well as asymptotic normality. We derived a nonparametric estimator of the copula from our estimator and showed the result of its convergence. Finally, we illustrated the robustness of our contribution through simulated and real data. Thu, 22 Jun 2023 00:00:00 GMT http://depot.umc.edu.dz/handle/123456789/14809 2023-06-22T00:00:00Z