Regression models and applications

• Grant number: 12/21788-2
• Support Opportunities: Research Projects - Thematic Grants
• Start date: April 01, 2013
• End date: March 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Statistics
• Principal Investigator: Heleno Bolfarine
• Grantee: Heleno Bolfarine
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Pesquisadores principais: Gilberto Alvarenga Paula ; Márcia D'Elia Branco ; Silvia Lopes de Paula Ferrari
• Associated researchers: Alexandre Galvão Patriota ; Antonio Carlos Pedroso de Lima ; Caio Lucidius Naberezny Azevedo ; Denise Aparecida Botter ; Gisela Tunes da Silva ; Lucia Pereira Barroso ; Mônica Carneiro Sandoval ; Viviana Giampaoli
• Associated research grant(s): 14/24333-1 - Joint modeling of survival and longitudinal data, AV.EXT; 13/08738-9 - The 59th World Statistics Congress, AR.EXT
• Associated scholarship(s): 15/25867-2 - Mixed regression models for bivariate skew continuous and binary data, BP.MS; 13/26336-5 - Bayesian inference for multidimensional item response models under heavy tail skewed latent trait distributions and link functions, BP.DR; 13/23684-2 - Extending the Destructive Negative Binomial cure rate model with a latent activation scheme., BP.PD; 13/17876-6 - Adjusted residuals in zero-inflated regression models, BP.PD; 13/07850-0 - Zero-one heteroscedastic augmented rectangular beta regression models, BP.MS

Abstract

This project aims to study associations among sets of variables using statistical methodologies based on regression models. In this context, we deal with topics that, in the statistical literature, are known as survival analysis, mixed models, beta regression models, item response theory, etc. In particular, we intend to study different formulations for such models, several estimation methods, alternative forms to test hypotheses, statistical properties of estimators and tests. Moreover, it is part of this project to implement the methods computationally and to apply the results to practical problems in several research fields. The results of this project will be published in international journals or textbooks and presented in national and international scientific conferences. Practical applications will benefit investigators who bring their projects to the Applied Statistics Centre of the Institute of Mathematics and Statistics of the University of São Paulo. The conclusion of a considerable number of M.Sc. theses and PhD. dissertations is another of the project objectives. (AU)

Scientific publications

(10)

(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)

FERRARI, SILVIA L. P.; FUMES, GIOVANA. Box-Cox symmetric distributions and applications to nutritional data. AStA-Advances in Statistical Analysis, v. 101, n. 3, p. 321-344, JUL 2017. (12/21788-2)

MEDEIROS, FRANCISCO M. C.; FERRARI, SILVIA L. P.; LEMONTE, ARTUR J.. Improved inference in dispersion models. Applied Mathematical Modelling, v. 51, p. 317-328, NOV 2017. (12/21788-2)

MONTENEGRO, CARLOS; BRANCO, MARCIA. Bayesian state-space approach to biomass dynamic models with skewed and heavy-tailed error distributions. Fisheries Research, v. 181, p. 48-62, SEP 2016. (12/21788-2)

DE GODOI, LUCIANA GRAZIELA; BRANCO, MARCIA D'ELIA. Bayesian robustness under a skew-normal class of prior distribution. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, v. 55, n. 5, p. 1235-1251, JUL 2014. (04/15304-6, 12/21788-2)

MORAN-VASQUEZ, RAUL ALEJANDRO; FERRARI, SILVIA L. P.. Box-Cox elliptical distributions with application. METRIKA, v. 82, n. 5, p. 547-571, JUL 2019. (12/21788-2)

CIRILLO, MARCELO ANGELO; BARROSO, LUCIA PEREIRA. Effect of outliers on the GFI quality adjustment index in structural equation model and proposal of alternative indices. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, v. 46, n. 3, p. 1895-1905, 2017. (12/21788-2)

CASTELLARES, FREDY; FERRARI, SILVIA L. P.; LEMONTE, ARTUR J.. On the Bell distribution and its associated regression model for count data. Applied Mathematical Modelling, v. 56, p. 172-185, APR 2018. (12/21788-2)

FUMES-GHANTOUS, GIOVANA; FERRARI, SILVIA L. P.; CORRENTE, JOSE EDUARDO. Box-Cox t random intercept model for estimating usual nutrient intake distributions. Statistical Methods and Applications, v. 27, n. 4, p. 715-734, DEC 2018. (08/10261-8, 12/21788-2)

FUJITA, ANDRE; TAKAHASHI, DANIEL Y.; PATRIOTA, ALEXANDRE G.; SATO, JOAO R.. A non-parametric statistical test to compare clusters with applications in functional magnetic resonance imaging data. STATISTICS IN MEDICINE, v. 33, n. 28, p. 4949-4962, DEC 10 2014. (12/21788-2, 11/50761-2, 14/09576-5, 13/10498-6)

GODOI, LUCIANA G.; BRANCO, MARCIA D.; RUGGERI, FABRIZIO. Concentration function for the skew-normal and skew-t distributions, with application in robust Bayesian analysis. BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, v. 31, n. 2, p. 373-393, MAY 2017. (12/21788-2)