A log-Birnbaum-Saunders Regression Model with Asymmetric Errors

Details A log-Birnbaum-Saunders Regression Model with Asymmetric Errors A log-Birnbaum-Saunders Regression Model with Asymmetric Errors

2010-09-05

arxiv.org/abs/1009.0888v1

Statistics

Methodology

Submitted for publication

Scientific paper

10.1080/00949655.2011.595715

The paper by Leiva et al. (2010) introduced a skewed version of the sinh-normal distribution, discussed some of its properties and characterized an extension of the Birnbaum-Saunders distribution associated with this distribution. In this paper, we introduce a skewed log-Birnbaum-Saunders regression model based on the skewed sinh-normal distribution. Some influence methods, such as the local influence and generalized leverage are presented. Additionally, we derived the normal curvatures of local influence under some perturbation schemes. An empirical application to a real data set is presented in order to illustrate the usefulness of the proposed model.

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