Functional regression

JS Morris - Annual Review of Statistics and Its Application, 2015 - annualreviews.org
Functional data analysis (FDA) involves the analysis of data whose ideal units of
observation are functions defined on some continuous domain, and the observed data …

Functional data analysis

JL Wang, JM Chiou, HG Müller - Annual Review of Statistics …, 2016 - annualreviews.org
With the advance of modern technology, more and more data are being recorded
continuously during a time interval or intermittently at several discrete time points. These are …

[BOK][B] Introduction to functional data analysis

P Kokoszka, M Reimherr - 2017 - taylorfrancis.com
Introduction to Functional Data Analysis provides a concise textbook introduction to the field.
It explains how to analyze functional data, both at exploratory and inferential levels. It also …

Scalable visualization methods for modern generalized additive models

M Fasiolo, R Nedellec, Y Goude… - Journal of computational …, 2020 - Taylor & Francis
In the last two decades, the growth of computational resources has made it possible to
handle generalized additive models (GAMs) that formerly were too costly for serious …

Methods for scalar‐on‐function regression

PT Reiss, J Goldsmith, HL Shang… - International Statistical …, 2017 - Wiley Online Library
Recent years have seen an explosion of activity in the field of functional data analysis (FDA),
in which curves, spectra, images and so on are considered as basic functional data units. A …

A penalized framework for distributed lag non-linear models

A Gasparrini, F Scheipl, B Armstrong, MG Kenward - Biometrics, 2017 - academic.oup.com
Distributed lag non-linear models (DLNMs) are a modelling tool for describing potentially
non-linear and delayed dependencies. Here, we illustrate an extension of the DLNM …

Functional additive mixed models

F Scheipl, AM Staicu, S Greven - Journal of Computational and …, 2015 - Taylor & Francis
We propose an extensive framework for additive regression models for correlated functional
responses, allowing for multiple partially nested or crossed functional random effects with …

A general framework for functional regression modelling

S Greven, F Scheipl - Statistical Modelling, 2017 - journals.sagepub.com
Researchers are increasingly interested in regression models for functional data. This article
discusses a comprehensive framework for additive (mixed) models for functional responses …

Twenty years of P-splines

PHC Eilers, BD Marx, M Durbán - SORT: statistics and operations …, 2015 - ddd.uab.cat
P-splines first appeared in the limelight twenty years ago. Since then they have become
popular in applications and in theoretical work. The combination of a rich B-spline basis and …

Penalized function-on-function regression

AE Ivanescu, AM Staicu, F Scheipl, S Greven - Computational Statistics, 2015 - Springer
A general framework for smooth regression of a functional response on one or multiple
functional predictors is proposed. Using the mixed model representation of penalized …