Exploiting the analytic properties of cumulative hazards for survival analysis

• Grant number: 17/50321-9
• Support Opportunities: Regular Research Grants
• Start date: April 01, 2018
• End date: March 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Statistics
• Agreement: University of Bath
• Mobility Program: SPRINT - Projetos de pesquisa - Mobilidade
• Principal Investigator: Francisco Louzada Neto
• Grantee: Francisco Louzada Neto
• Principal researcher abroad: Alejandro Anaya Izquierdo
• Institution abroad: University of Bath, England
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project willlook at developing new statistical models for survival analysis that exploit the analytical and numerical properties of an overlooked key function: the cumulative hazard function. These analytical properties are very powerful and well understood from the convex analysis point of view but, perhaps surprisingly, they have not been so far exploited for statistical modelling so this project this comprises a very promising new to survival data analysis. The project will look at both methodological and computational aspects as well as both univariate and regression modelling. The methodologies developed can be applied to both Biomedica land Engineering Reliability data. (AU)