23º SINAPE - Simpósio Nacional de Probabilidade e Estatística

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Título

INFLUENCE DIAGNOSTICS FOR THE WEIBULL POWER SERIES DISTRIBUTION WITH CURE RATE UNDER DIFFERENT ACTIVATION SCHEMES

Resumo

In this paper, we propose a flexible cure rate survival model by assuming that the number of competing causes of the
event of interested follows the power series distribution and the time to event follows a Weibull distribution. Indeed, we
introduce a new regression models denotedWeibull-Power-Series distribution (WPS) with cure rate, which can be used in
order to model survival data when the hazard rate function is increasing, decreasing and some non-monotonous shaped.
The new compounding regression model includes as special cases several well-known cure rate models discussed in the
literature. The model parameters are estimated by maximum likelihood. Further, for different parameter settings, sample
sizes, and censoring percentages, some simulations are performed. We derive the appropriate matrices for assessing
local influences on the parameter estimates under different perturbation schemes and present some ways to assess local
influences.
The properties of the proposed distribution class are discussed such as quantiles, moments and order statistics. Special
distributions are studied in some detail. Applications to real data sets are given to show the usefulness of the new
distribution class.

Palavras-chave

Weibull Power Series Distribution, Survival Analysis, Cure fraction modelling, Local influence diagnostics,
Latent failure causes.

Área

Análise de Sobrevivência

Autores

CYNTHIA ARANTES VIEIRA TOJEIRO, EDER ANGELO MILANI, Francisco Louzada