Results

**1 - 6**of**6**### FRACTALS WITH POINT IMPACT IN FUNCTIONAL LINEAR REGRESSION BY IAN W. MCKEAGUE

"... This paper develops a point impact linear regression model in which the trajectory of a continuous stochastic process, when evaluated at a “sensitive time point”, is associated with a scalar response. The proposed model complements and is more interpretable than the functional linear regression appr ..."

Abstract
- Add to MetaCart

(Show Context)
This paper develops a point impact linear regression model in which the trajectory of a continuous stochastic process, when evaluated at a “sensitive time point”, is associated with a scalar response. The proposed model complements and is more interpretable than the functional linear regression approach that has become popular in recent years. The trajectories are assumed to have fractal (self-similar) properties in common with a fractional Brownian motion with an unknown Hurst exponent. Bootstrap confidence intervals based on the least-squares estimator of the sensitive time point are developed. Misspecification of the point impact model by a functional linear model is also investigated. Non-Gaussian limit distributions and rates of convergence determined by the Hurst exponent play an important role.

### in At

"... Change point analysis fMRI fM kno tec ltiv ed Dynamic Connectivity Regression (DCR), detects temporal change points in estimates a graph, or set of relationships between ROIs, for data in the temporal aging basis o example, greater activity during an experimental task than during a approaches includ ..."

Abstract
- Add to MetaCart

(Show Context)
Change point analysis fMRI fM kno tec ltiv ed Dynamic Connectivity Regression (DCR), detects temporal change points in estimates a graph, or set of relationships between ROIs, for data in the temporal aging basis o example, greater activity during an experimental task than during a approaches include using multivariate methods, such as Principal

### unknown title

, 2013

"... Restricted likelihood ratio tests for functional effects in the functional linear model ..."

Abstract
- Add to MetaCart

(Show Context)
Restricted likelihood ratio tests for functional effects in the functional linear model

### Methods for scalar-on-function regression

, 2015

"... Recent years have seen an explosion of activity in the field of functional data analysis (FDA), in which curves, spectra, images, etc. are considered as basic functional data units. A central problem in FDA is how to fit regression models with scalar responses and functional data points as predictor ..."

Abstract
- Add to MetaCart

Recent years have seen an explosion of activity in the field of functional data analysis (FDA), in which curves, spectra, images, etc. are considered as basic functional data units. A central problem in FDA is how to fit regression models with scalar responses and functional data points as predictors. We review some of the main approaches to this problem, categorizing the basic model types as linear, nonlinear and nonparametric. We discuss publicly available software packages, and illustrate some of the procedures by application to a functional magnetic resonance imaging dataset.