Semiparametric additive quantile regression for modeling inflated bounded continuous data

• Grant number: 24/08343-9
• Support Opportunities: Scholarships abroad - Research
• Start date: March 01, 2025
• End date: February 28, 2026
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Statistics
• Principal Investigator: Francisco Felipe de Queiroz
• Grantee: Francisco Felipe de Queiroz
• Host Investigator: Thomas Kneib
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Göttingen University, Germany

Abstract

Bounded continuous data, especially on the unit interval, are common in fields such as ecology, biology, economics, and public health. Examples include the fraction of vegetation cover, the proportion of family income spent on health plans, and the prevalence of chronic illness. These data often show a significant number of observations at the boundaries (i.e., zeros and/or ones). This research project aims to develop semiparametric additive quantile regression models for bounded continuous data on [0,1), (0,1], and [0,1]. A user-friendly computational implementation will be provided, and the models will be applied to both real and simulated data.