Functional principal component regression and functional partial least‐squares regression: An overview and a comparative study

M Febrero‐Bande, P Galeano… - International …, 2017 - Wiley Online Library
Functional data analysis is a field of growing importance in Statistics. In particular, the
functional linear model with scalar response is surely the model that has attracted more …

Springer series in statistics

P Bickel, P Diggle, S Fienberg, U Gather, I Olkin… - Principles and Theory …, 2009 - Springer
The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

From multivariate to functional data analysis: Fundamentals, recent developments, and emerging areas

Y Li, Y Qiu, Y Xu - Journal of Multivariate Analysis, 2022 - Elsevier
Functional data analysis (FDA), which is a branch of statistics on modeling infinite
dimensional random vectors resided in functional spaces, has become a major research …

Analysis of variance for functional data

J Zhang - Monographs on statistics and applied probability, 2014 - api.taylorfrancis.com
Functional data analysis has been a popular statistical research topic for the past three
decades. Functional data are often obtained by observing a number of subjects over time …

Weakly dependent functional data

S Hörmann, P Kokoszka - 2010 - projecteuclid.org
Functional data often arise from measurements on fine time grids and are obtained by
separating an almost continuous time record into natural consecutive intervals, for example …

A reproducing kernel Hilbert space approach to functional linear regression

M Yuan, TT Cai - 2010 - projecteuclid.org
We study in this paper a smoothness regularization method for functional linear regression
and provide a unified treatment for both the prediction and estimation problems. By …

Smoothing splines estimators for functional linear regression

C Crambes, A Kneip, P Sarda - 2009 - projecteuclid.org
The paper considers functional linear regression, where scalar responses Y 1,…, Y n are
modeled in dependence of random functions X 1,…, X n. We propose a smoothing splines …

Partial functional linear regression

H Shin - Journal of Statistical Planning and Inference, 2009 - Elsevier
It is frequently the case that a response will be related to both a vector of finite length and a
function-valued random variable as predictor variables. In this paper, we propose new …

[HTML][HTML] Multivariate functional linear regression and prediction

JM Chiou, YF Yang, YT Chen - Journal of Multivariate Analysis, 2016 - Elsevier
We propose a multivariate functional linear regression (mFLR) approach to analysis and
prediction of multivariate functional data in cases in which both the response and predictor …

Determining the order of the functional autoregressive model

P Kokoszka, M Reimherr - Journal of Time Series Analysis, 2013 - Wiley Online Library
We propose a multistage testing procedure to determine the order p of a functional
autoregressive process, FAR (p). At its core is the representation of the FAR (p) process as a …