4 papers
Optimal estimation and goodness-of-fit testing of the mean for sparse longitudinal functional data
Valentin Patilea, Mahdi Saidi
We study the mean function of longitudinal functional data, where each subject contributes a small number of complete profiles over a general domain, observed at random visit times…
Optimal inference for the mean of random functions
Omar Kassi, Valentin Patilea
We study estimation and inference for the mean of real-valued random functions defined on a hypercube. The independent random functions are observed on a discrete, random subset of…
Rate accelerated inference for integrals of multivariate random functions
Valentin Patilea, Sunny G. W. Wang
The computation of integrals is a fundamental task in the analysis of functional data, which are typically considered as random elements in a space of squared integrable functions.…
Adaptive estimation for Weakly Dependent Functional Times Series
Hassan Maissoro, Valentin Patilea, Myriam Vimond
The local regularity of functional time series is studied under appro\-ximability assumptions. The sample paths are observed with error at possibly random design points. No…