Functional Statistics and Applications

This volume, which highlights recent advances in statistical methodology and applications, is divided into two main parts. The first part presents theoretical results on estimation techniques in functional statistics, while the second examines three key areas of application: estimation problems in queuing theory, an application in signal processing, and the copula approach to epidemiologic modelling.

The book's peer-reviewed contributions are based on papers originally presented at the Marrakesh International Conference on Probability and Statistics held in December 2013.

Features original research contributions on functional statistics Shows applications in queuing theory, signal processing and epidemiology Includes supplementary material: sn.pub/extras

Autorentext

Elias Ould Saïd is a Professor at Université Lille Nord de France in Lille and Université du Littoral Côte d'Opale in Calais.

Mustapha Rachdi is a Professor at the Grenoble-Alpes University, Grenoble.

Idir Ouassou is a Professor at the Cadi Ayyad University in Marrakesh.

Inhalt

Preface.- Part I: Functional Statistics.- Attaoui, Laksaci and Ould Saïd: Asymptotic Results for an M-Estimator of the Regression Function for Quasi-Associated Processes.- Badaoui and Rhomari: BlockShrink Wavelet Density Estimator in -Mixing Framework.- Benchikh: Approximation of Strictly Stationary Banach-Valued Random Sequence by Fourier Integral.- Girard and Louhichi: On the Strong Consistency of the Kernel Estimator of Extreme Conditional Quantiles.- Naceri, Laksaci and Rachdi: Exact Quadratic Error of the Local Linear Regression Operator Estimator for Functional Covariates.- Ouassou: Estimation of a Loss Function for Spherically Symmetric Distribution with Constraints on the Norm.- Part II: Applications (Queuing Theory, Signal Analysis, Epidemiology).- Bareche and Aïssani: Impact of Nonparametric Density Estimation on the Approximation of the G/G/1 Queue by the M/G/1 One.- Boualem, Cherfaoui, Djellab and Aïssani: Stochastic Analysis of an M/G/1 Retrial Queue with FCFS.- Demongeot, Hamie, Hansen and Rachdi: Dynalets: A New Tool for Biological Signal Processing.- Demongeot, Ghassani, Hazgui and Rachdi: Demography in Epidemics Modelling: The Copula Approach.- Index.