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In this paper, we develop a flexible cure rate survival model by assuming the number of competing causes of the event of interest to follow a compound weighted Poisson distribution. This model is more flexible in terms of dispersion than the promotion time cure model. Moreover, it gives an interesting and realistic interpretation of the biological mechanism(More)
In many data sets from clinical studies there are patients insusceptible to the occurrence of the event of interest. Survival models which ignore this fact are generally inadequate. The main goal of this paper is to describe an application of the generalized additive models for location, scale, and shape (GAMLSS) framework to the fitting of long-term(More)
The main goal of this paper is to investigate a cure rate model that comprehends some well-known proposals found in the literature. In our work the number of competing causes of the event of interest follows the negative binomial distribution. The model is conveniently reparametrized through the cured fraction, which is then linked to covariates by means of(More)
In this paper, we propose a new cure rate survival model, which extends the model of Rodrigues et al. (2011) by incorporating a dependence structure between the initiated cells. To create the correlation structure between the initiated cells, we use an extension of the generalized power series distribution by including an additional parameter ρ(More)
The objective of this experiment was to test in vitro embryo production (IVP) as a tool to estimate fertility performance in zebu bulls using Bayesian inference statistics. Oocytes were matured and fertilized in vitro using sperm cells from three different Zebu bulls (V, T, and G). The three bulls presented similar results with regard to pronuclear(More)
The purpose of this article is to make the standard promotion cure rate model (Yakovlev and Tsodikov, ) more flexible by assuming that the number of lesions or altered cells after a treatment follows a fractional Poisson distribution (Laskin, ). It is proved that the well-known Mittag-Leffler relaxation function (Berberan-Santos, ) is a simple way to obtain(More)
A unified view on lifetime distributions arising from selection mechanisms EI 2 / 19 Introduction Introduction We have used the selection mechanism proposed by Arellano-Valle et al. (2006) to formulate a very flexible lifetime distribution. This distribution contains many of the recently proposed lifetime models as special cases and also facilitates in(More)