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 …

Empirical Likelihood in Functional Data Analysis

H Chang, IW McKeague - Annual Review of Statistics and Its …, 2024 - annualreviews.org
Functional data analysis (FDA) studies data that include infinite-dimensional functions or
objects, generalizing traditional univariate or multivariate observations from each study unit …

Polyphasic identification of two novel Colletotrichum species causing leaf spots on mangroves in Thailand

HDR Aumentado, A Armand, C Phukhamsakda… - European Journal of …, 2024 - Springer
Mangroves play a significant part in the marine ecosystem and harbour a plethora of
microorganisms vital for various ecological functions. However, they remain vulnerable to …

Unified principal component analysis for sparse and dense functional data under spatial dependency

H Zhang, Y Li - Journal of Business & Economic Statistics, 2022 - Taylor & Francis
We consider spatially dependent functional data collected under a geostatistics setting,
where locations are sampled from a spatial point process. The functional response is the …

Testing homogeneity: the trouble with sparse functional data

C Zhu, JL Wang - Journal of the Royal Statistical Society Series …, 2023 - academic.oup.com
Testing the homogeneity between two samples of functional data is an important task. While
this is feasible for intensely measured functional data, we explain why it is challenging for …

Empirical likelihood-based inference for functional means with application to wearable device data

H Chang, IW McKeague - Journal of the Royal Statistical Society …, 2022 - academic.oup.com
This paper develops a nonparametric inference framework that is applicable to occupation
time curves derived from wearable device data. These curves consider all activity levels …

A goodness‐of‐fit test for the functional linear model with functional response

E García‐Portugués, J Álvarez‐Liébana… - … Journal of Statistics, 2021 - Wiley Online Library
The functional linear model with functional response (FLMFR) is one of the most
fundamental models to assess the relation between two functional random variables. In this …

Model checks for functional linear regression models based on projected empirical processes

F Chen, Q Jiang, Z Feng, L Zhu - Computational Statistics & Data Analysis, 2020 - Elsevier
The goodness-of-fit testing for functional linear regression models with functional responses
is studied. A residual-marked empirical process-based test is proposed. The test is …

A score based test for functional linear concurrent regression

R Ghosal, A Maity - Econometrics and Statistics, 2022 - Elsevier
A novel method for testing the null hypothesis of no effect of a covariate on the response is
proposed in functional linear concurrent regression. An equivalent random effects …

Nonparametric operator-regularized covariance function estimation for functional data

RKW Wong, X Zhang - Computational statistics & data analysis, 2019 - Elsevier
In functional data analysis (FDA), the covariance function is fundamental not only as a
critical quantity for understanding elementary aspects of functional data but also as an …