The Destructive Zero-Inflated Power Series Cure Rate Models for Carcinogenesis Studies

Rodrigo R. Pescim; Adriano K. Suzuki; Gauss M. Cordeiro; Edwin M. M. Ortega

doi:10.57805/revstat.v20i5.387

The Destructive Zero-Inflated Power Series Cure Rate Models for Carcinogenesis Studies

Authors

Rodrigo R. Pescim Londrina State University https://orcid.org/0000-0001-6070-4702
Adriano K. Suzuki University of São Paulo https://orcid.org/0000-0002-4256-4694
Gauss M. Cordeiro Federal University of Pernambuco https://orcid.org/0000-0002-3052-6551
Edwin M. M. Ortega University of São Paulo https://orcid.org/0000-0003-3999-7402

DOI:

https://doi.org/10.57805/revstat.v20i5.387

Keywords:

Cure rate model, Destructive cure model, Simulation study, Survival analysis, Weibull distribution, Zero inflated power series distribution

Abstract

In this paper, we propose a new flexible survival model called the destructive zero-inflated power series cure rate model. This new model describes a realistic interpretation for the biological mechanism of the occurrence of the event of interest in studies of carcinogenesis in the presence of the competing latent causes. The maximum likelihood method is used for estimating the model parameters. For different sample sizes, various scenarios are simulated to evaluate the precision of the estimates. The usefulness of the new cure rate survival model is illustrated by means of a cutaneous melanoma data set.

Downloads

REVSTAT2022v20n5_4

Published

2023-02-27

How to Cite

R. Pescim , R., K. Suzuki , A., M. Cordeiro , G., & M. M. Ortega , E. (2023). The Destructive Zero-Inflated Power Series Cure Rate Models for Carcinogenesis Studies. REVSTAT-Statistical Journal, 20(5), 587–604. https://doi.org/10.57805/revstat.v20i5.387