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Estimation of semi-functional linear models by wavelets

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


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)

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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.; 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, . (13/09035-1, 13/21273-5)
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, . (13/21273-5, 13/09035-1, 08/51097-6, 13/00506-1, 09/09588-5)
MONTORIL, MICHEL H.; PINHEIRO, ALUISIO; VIDAKOVIC, BRANI. Wavelet-based estimators for mixture regression. SCANDINAVIAN JOURNAL OF STATISTICS, v. 46, n. 1, p. 215-234, . (13/09035-1, 13/21273-5, 13/00506-1)

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