scholarly journals Smooth backfitting for additive modeling with small errors-in-variables, with an application to additive functional regression for multiple predictor functions

Bernoulli ◽  
2018 ◽  
Vol 24 (2) ◽  
pp. 1233-1265 ◽  
Author(s):  
Kyunghee Han ◽  
Hans-Georg Müller ◽  
Byeong U. Park
Keyword(s):  
Additive Functional ◽  
Functional Regression ◽  
Errors In Variables ◽  
Multiple Predictor ◽  
Additive Modeling

A Unifying Classification for Functional Regression Modeling

2018 ◽  
Author(s):  
Frédéric Ferraty ◽  
Philippe Vieu
Keyword(s):  
Regression Model ◽  
Regression Models ◽  
Functional Model ◽  
Additive Functional ◽  
Regression Modeling ◽  
Functional Regression ◽  
Regression Problem ◽  
Nonparametric Models ◽  
Index Model ◽  
Functional Linear Regression

This article presents a unifying classification for functional regression modeling, and more specifically for modeling the link between two variables X and Y, when the explanatory variable (X) is of a functional nature. It first provides a background on the proposed classification of regression models, focusing on the regression problem and defining parametric, semiparametric, and nonparametric models, and explains how semiparametric modeling can be interpreted in terms of dimension reduction. It then gives four examples of functional regression models, namely: functional linear regression model, additive functional regression model, smooth nonparametric functional model, and single functional index model. It also considers a number of new models, directly adapted to functional variables from the existing standard multivariate literature.

scholarly journals Partially Linear Additive Functional Regression

2023 ◽  
Author(s):  
Xiaohui Liu ◽  
Wenqi Lu ◽  
Heng Lian ◽  
Yuzi Liu ◽  
Zhongyi Zhu
Keyword(s):  
Additive Functional ◽  
Functional Regression ◽  
Partially Linear

Additive Functional Regression for Densities as Responses

2019 ◽  
Vol 115 (530) ◽  
pp. 997-1010 ◽  
Author(s):  
Kyunghee Han ◽  
Hans-Georg Müller ◽  
Byeong U. Park
Keyword(s):  
Additive Functional ◽  
Functional Regression

Solutions and Stability of Generalized Mixed Type QCA-Functional Equations in Random Normed Spaces

2013 ◽  
Vol 59 (2) ◽  
pp. 299-320
Author(s):  
M. Eshaghi Gordji ◽  
Y.J. Cho ◽  
H. Khodaei ◽  
M. Ghanifard
Keyword(s):  
Functional Equation ◽  
General Solution ◽  
Functional Equations ◽  
Mixed Type ◽  
Additive Functional ◽  
Normed Spaces ◽  
Additive Functional Equation ◽  
Probabilistic Normed Spaces ◽  
Random Normed Spaces ◽  
Generalized Stability

Abstract In this paper, we investigate the general solution and the generalized stability for the quartic, cubic and additive functional equation (briefly, QCA-functional equation) for any k∈ℤ-{0,±1} in Menger probabilistic normed spaces.

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