An Extended Weibull Regression for Censored Data: Application for COVID-19 in Campinas, Brazil

Gabriela M. Rodrigues, Edwin M. M. Ortega, Gauss M. Cordeiro () and Roberto Vila
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Gabriela M. Rodrigues: Department of Exact Sciences, University of São Paulo, Piracicaba 13418-900, Brazil
Edwin M. M. Ortega: Department of Exact Sciences, University of São Paulo, Piracicaba 13418-900, Brazil
Gauss M. Cordeiro: Department of Statistics, Federal University of Pernambuco, Recife 50670-901, Brazil
Roberto Vila: Department of Statistics, University of Brasilia, Brasilia 70910-900, Brazil

Mathematics, 2022, vol. 10, issue 19, 1-17

Abstract: This work aims to study the factors that increase the risk of death of hospitalized patients diagnosed with COVID-19 through the odd log-logistic regression model for censored data with two systematic components, as well as provide new mathematical properties of this distribution. To achieve this, a dataset of individuals residing in the city of Campinas (Brazil) was used and simulations were performed to investigate the accuracy of the maximum likelihood estimators in the proposed regression model. The provided properties, such as stochastic representation, identifiability, and moments, among others, can help future research since they provide important information about the distribution structure. The simulation results revealed the consistency of the estimates for different censoring percentages and show that the empirical distribution of the modified deviance residuals converge to the standard normal distribution. The proposed model proved to be efficient in identifying the determinant variables for the survival of the individuals in this study, which can help to find more opportune treatments and medical interventions. Therefore, the new model can be considered an interesting alternative for future works that evaluate censored lifetimes.

Keywords: censored data; COVID-19; odd log-logistic Weibull; regression model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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