Research Centre for Mathematics and Applications

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Parametric regression models for recurrent events analysis based on Chen distribution

Publication . Sousa-Ferreira, Ivo; Abreu, Ana Maria; Rocha, Cristina

In this paper, two parametric regression models based on Chen dis tribution are proposed for situations where recurrent events have the same or dif ferent risks of occurrence. Inference is based on a maximum likelihood approach, which ensures consistent parameter estimators. However, since in recurrent event data there is within-subject correlation, the “one step” jackknife estimator is used. An application on a real data set is also provided for illustrative purposes.

2019Conference object

Open access

Two level credibility-limited revisions

Publication . Garapa, Marco

In this paper, we propose a new kind of nonprioritized operator which we call two level credibility-limited revision. When revising through a two level credibility-limited revision there are two levels of credibility and one of incredibility. When revising by a sentence at the highest level of credibility, the operator behaves as a standard revision, if the sentence is at the second level of credibility, then the outcome of the revision process coincides with a standard contraction by the negation of that sentence. If the sentence is not credible, then the original belief set remains unchanged. In this article, we axiomatically characterize several classes of two level credibility-limited revision operators.

Publication . Garapa, Marco; Reis, Maurício D. L.

In this paper, we propose and axiomatically characterize residual contractions, a new kind of contraction operators for belief bases. We establish that the class of partial meet contractions is a strict subclass of the class of residual contractions. We identify an extra condition that may be added to the definition of residual contractions, which is such that the class of residual contractions that satisfy it coincides with the class of partial meet contrac tions. We investigate the interrelations in the sense of (strict) inclusion among the class of residual contractions and other classes of well known contraction operators for belief bases.

2019Journal article

Open access