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Hybrid model for recurrent event data
Publication . Sousa-Ferreira, Ivo; Abreu, Ana Maria
In the last four decades, there has been an increasing interest in developingsurvivalmodelsappropriateformultipleeventdataand,inparticular,for recurrentevent data. For these situations, several extensionsof the Cox’s regression model have been developed. Some of the most known models were suggested by: Prentice, Williams, and Peterson (PWP); Andersen and Gill (AG); Wei, Lin, and Weissfeld (WLW);andLee,Wei, andAmato(LWA).Thesemodelscanhandlewith situations where exist potentially correlated lifetimes of the same subject (due to the occurrence of more than one event for each subject) which is common in this type of data. In this chapter we present a new model, which we call hybrid model, with the purpose of minimizing some limitations of PWP model. With this model we obtained an improvement in the precision of the parameters estimates and a better fit to the simulated data.
Shielded base contraction
Publication . Garapa, Marco; Fermé, Eduardo; Reis, Maurício D. L.
The one that is considered the standard model in the area of logic of belief change was proposed by Alchourrón, Gärdenfors and Makinson in 1985 and is, nowadays, known as the AGM model. Two of the main shortcomings pointed out to the AGM model of belief change are the (impractical) use of belief sets to represent belief states and the (unrealistic) acceptance of any new information. In this paper we study a kind of operators—known as shielded base contractions—which address both those issues. Indeed, on the one hand, these operators are defined on belief bases (rather than belief sets) and, on the other hand, they are constructed with the underlying idea that not all new informations are accepted. We propose twenty different classes of shielded base contractions and obtain axiomatic characterizations for each of them. Additionally we thoroughly investigate the interrelations (in the sense of inclusion) among all those classes. More precisely, we analyse whether each of those classes is or is not (strictly) contained in each of the remaining ones.

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Funding agency

Fundação para a Ciência e a Tecnologia

Funding programme

5876

Funding Award Number

UID/MAT/04674/2013

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