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Additive-multiplicative hazard models in survival analysis

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Author(s):
Tamy Harumy Moraes Tsujimoto
Total Authors: 1
Document type: Master's Dissertation
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI)
Defense date:
Examining board members:
Antonio Carlos Pedroso de Lima; Giovani Loiola da Silva
Advisor: Antonio Carlos Pedroso de Lima
Abstract

This dissertation aims to study the Cox-Aalen regression model, which incorporates fixed and time-varying effects through the additive and multiplicative structures. The primary additive and multiplicative risk models that deal with fixed and time-dependent effects are reviewed with the counting process framework and a score test to assist the decision between the additive and multiplicative structures is proposed and evaluated with a simulation study. The application of the models to the Instituto do Câncer do Estado de São Paulo (ICESP) dataset suggests that the model under study can be considered as an interesting option to analyse survival data when the usual techniques are not aproppriate. (AU)

FAPESP's process: 12/24503-9 - Additive-multiplicative hazard models in survival analysis
Grantee:Tamy Harumy Moraes Tsujimoto
Support Opportunities: Scholarships in Brazil - Master