23º SINAPE - Simpósio Nacional de Probabilidade e Estatística

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Título

APPLICATION OF THE WEIBULL-POISSON LONG-TERM SURVIVAL MODEL

Resumo

In this work, we proposed a new long-term lifetime distribution with four parameters
inserted in a risk competitive scenario with decreasing, increasing and unimodal hazard rate functions, namely the Weibull-Poisson long-term distribution.
This new distribution arised from scenario of competitive latent risk, in which the lifetime associated to the particular risk is not observable, rather only the minimum lifetime value among all risks is noticed in a context of long-term. But it can be used in any other situation as long as it fits the data well.
The Weibull-Poisson long-term distribution presented as particular cases the new exponential-Poisson long-term distribution and the Weibull long-term distribution. The properties of the proposed distribution were discussed, including its
probability density, survival and hazard functions.
The selection criteria AIC and likelihood ratio test were used for the model selection.
The relevance of the approach was illustrated on two real datasets, when the new model was compared with its particular cases observing its potential and competitiveness.

Palavras-chave

Competing risks, Cure fraction model, Likelihood, Weibull-Poisson distribution, Survival Analysis

Área

Análise de Sobrevivência

Autores

Valdemiro Piedade Vigas, Josmar Mazucheli, Francisco Louzada Neto