NDLI: Partially Linear Generalized Single Index Models for Functional Data (PLGSIMF)

Please wait, while we are loading the content...

Partially Linear Generalized Single Index Models for Functional Data (PLGSIMF)

Content Provider	MDPI
Author	Alahiane, Mohamed Ouassou, Idir Rachdi, Mustapha Vieu, Philippe
Copyright Year	2021
Abstract	Single-index models are potentially important tools for multivariate non-parametric regression analysis. They generalize linear regression models by replacing the linear combination $α_{0}^{⊤} X$ with a non-parametric component $η_{0} (α_{0}^{⊤} X)$ , where $η_{0} (\cdot)$ is an unknown univariate link function. In this article, we generalize these models to have a functional component, replacing the generalized partially linear single index models $η_{0} (α_{0}^{⊤} X) + β_{0}^{⊤} Z$ , where $α$ is a vector in ${I R}^{d}$ , $η_{0} (\cdot)$ and $β_{0} (\cdot)$ are unknown functions that are to be estimated. We propose estimates of the unknown parameter $α_{0}$ , the unknown functions $β_{0} (\cdot)$ and $η_{0} (\cdot)$ and establish their asymptotic distributions, and furthermore, a simulation study is carried out to evaluate the models and the effectiveness of the proposed estimation methodology.
Ending Page	813
Page Count	21
Starting Page	793
e-ISSN	2571905X
DOI	10.3390/stats4040047
Journal	Stats
Issue Number	4
Volume Number	4
Language	English
Publisher	MDPI
Publisher Date	2021-09-27
Access Restriction	Open
Subject Keyword	Stats Statistics and Probability Asymptotic Normality Functional Data Analysis (fda) Polynomial Splines Quasi-likelihood Semi-parametric Regression Single-index Model
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in