Recent Advances on Structural Tests for Regression Models with Functional Covariate

• Activity Number: 443
• Type: Invited
• Date/Time: Wednesday, August 4, 2010 : 8:30 AM to 10:20 AM
• Sponsor: Section on Physical and Engineering Sciences
• Author(s): Laurent Delsol*+
• Companies: Université d'Orléans

Abstract

Many real world studies involve functional type phenomena. Technological improvements make now possible to collect large amounts of data providing a relevant description of such observations. Many statistical tools have been proposed to treat functional data sets. This talk focuses on regression models in which the explanatory variable takes values in an infinite dimensional space. A great variety of specific models and estimation methods have been considered from the well known functional linear model to the general nonparametric one. Amazingly, it seems structural testing issues have been less regarded. This talk aims to present a few recent advances in the construction of general structural testing procedures and to illustrate their practical interest.