Estimation of semi-functional linear models by wavelets

• Grant number: 13/21273-5
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: February 15, 2014
• End date: February 14, 2015
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Statistics
• Principal Investigator: Aluísio de Souza Pinheiro
• Grantee: Michel Helcias Montoril
• Supervisor: Brani Vidakovic
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Georgia Institute of Technology, United States
• Associated to the scholarship: 13/09035-1 - Regression models in functional data analysis, BP.PD

Abstract

The advances of technology and computing have helped in solution of many statistical problems. In particular, the functional data analysis (FDA) as relatively modern branch of statistics, have benefited from such advances. In the scope of FDA, the functional regression models have gained special attention by researchers, because of their wide applicability in real-life problems. In this project, we have the interest of exploring the estimation of semi-functional linear models by wavelet methodology and compare the obtained results with published counterpart standard methods. We also plan to explore semi-functional generalized linear models (GLM) in the multiscale domains. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

MONTORIL, MICHEL H.; PINHEIRO, ALUISIO; VIDAKOVIC, BRANI. Wavelet-based estimators for mixture regression. SCANDINAVIAN JOURNAL OF STATISTICS, v. 46, n. 1, p. 215-234, MAR 2019. (13/09035-1, 13/21273-5, 13/00506-1)

MONTORIL, MICHEL H.; MORETTIN, PEDRO A.; CHIANN, CHANG. Wavelet estimation of functional coefficient regression models. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, v. 16, n. 1, JAN 2018. (13/21273-5, 13/09035-1, 08/51097-6, 13/00506-1, 09/09588-5)

MONTORIL, MICHEL H.; CHANG, WOOJIN; VIDAKOVIC, BRANI. Wavelet-Based Estimation of Generalized Discriminant Functions. SANKHYA-SERIES B-APPLIED AND INTERDISCIPLINARY STATISTICS, v. 81, n. 2, p. 318-349, DEC 2019. (13/09035-1, 13/21273-5)