Testing independence and goodness-of-fit jointly for functional linear models
Sign Up to like & getrecommendations! Published in 2020 at "Journal of The Korean Statistical Society"
DOI: 10.1007/s42952-020-00083-4
Abstract: A conventional regression model for functional data involves expressing a response variable in terms of the predictor function. Two assumptions, that (i) the predictor function and the error are independent and (ii) the relationship between… read more here.
Keywords: proposed test; independence goodness; goodness fit; testing independence ... See more keywords
Estimation and variable selection for partially functional linear models
Sign Up to like & getrecommendations! Published in 2018 at "Journal of the Korean Statistical Society"
DOI: 10.1016/j.jkss.2018.05.002
Abstract: Abstract In this paper, a new estimation procedure based on composite quantile regression and functional principal component analysis (PCA) method is proposed for the partially functional linear regression models (PFLRMs). The proposed estimation method can… read more here.
Keywords: estimation; regression; functional linear; method ... See more keywords
A functional linear modeling approach to sleep–wake cycles in dogs
Sign Up to like & getrecommendations! Published in 2020 at "Scientific Reports"
DOI: 10.1038/s41598-020-79274-2
Abstract: The study of companion (pet) dogs is an area of great translational potential, as they share a risk for many conditions that afflict humans. Among these are conditions that affect sleep, including chronic pain and… read more here.
Keywords: sleep wake; wake cycles; functional linear; wake ... See more keywords
Faster convergence rate for functional linear regression in reproducing kernel Hilbert spaces
Sign Up to like & getrecommendations! Published in 2019 at "Statistics"
DOI: 10.1080/02331888.2019.1694931
Abstract: ABSTRACT Functional linear regression is in the centre of research attention involving curves as units of observations. We focus on functional linear regression in the framework of reproducing kernel Hilbert spaces studied in Cai and… read more here.
Keywords: convergence rate; functional linear; linear regression;
Estimation on semi-functional linear errors-in-variables models
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2018.1494836
Abstract: Abstract Semi-functional linear regression models are important in practice. In this paper, their estimation is discussed when function-valued and real-valued random variables are all measured with additive error. By means of functional principal component analysis… read more here.
Keywords: semi functional; errors variables; functional linear; variables models ... See more keywords
Distributed least squares prediction for functional linear regression
Sign Up to like & getrecommendations! Published in 2021 at "Inverse Problems"
DOI: 10.1088/1361-6420/ac4153
Abstract: To cope with the challenges of memory bottleneck and algorithmic scalability when massive data sets are involved, we propose a distributed least squares procedure in the framework of functional linear model and reproducing kernel Hilbert… read more here.
Keywords: functional linear; least squares; distributed least; squares prediction ... See more keywords
Functional prediction through averaging estimated functional linear regression models
Sign Up to like & getrecommendations! Published in 2018 at "Biometrika"
DOI: 10.1093/biomet/asy041
Abstract: Summary Prediction is often the primary goal of data analysis. In this work, we propose a novel model averaging approach to the prediction of a functional response variable. We develop a crossvalidation model averaging estimator… read more here.
Keywords: regression; linear regression; regression models; functional linear ... See more keywords
FLCRM: Functional linear cox regression model.
Sign Up to like & getrecommendations! Published in 2018 at "Biometrics"
DOI: 10.1111/biom.12748
Abstract: We consider a functional linear Cox regression model for characterizing the association between time-to-event data and a set of functional and scalar predictors. The functional linear Cox regression model incorporates a functional principal component analysis… read more here.
Keywords: regression model; functional linear; cox regression;
Functional Linear Regression Models for Nonignorable Missing Scalar Responses.
Sign Up to like & getrecommendations! Published in 2018 at "Statistica Sinica"
DOI: 10.5705/ss.202016.0350
Abstract: As an important part of modern health care, medical imaging data, which can be regarded as densely sampled functional data, have been widely used for diagnosis, screening, treatment, and prognosis, such as finding breast cancer… read more here.
Keywords: models nonignorable; linear regression; regression models; functional linear ... See more keywords