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A log-Birnbaum-Saunders regression model with asymmetric errors
Abstract
This paper introduces a skewed log-Birnbaum-Saunders regression model based on the skewed sinh-normal distribution proposed by Leiva et al. [A skewed sinh-normal distribution and its properties and application to air pollution, Comm. Statist. Theory Methods 39 (2010), pp. 426-443]. 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- info:eu-repo/semantics/article
- info:eu-repo/semantics/publishedVersion
- BIRNBAUM-SAUNDERS DISTRIBUTION
- FATIGUE LIFE DISTRIBUTION
- INFLUENCE DIAGNOSTIC
- SINH-NORMAL DISTRIBUTION
- SKEW-NORMAL DISTRIBUTION
- LIFE DISTRIBUTIONS
- CENSORED-DATA
- INFLUENCE DIAGNOSTICS
- INTERVAL ESTIMATION
- TESTS
- FAMILY
- INFERENCE
- COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
- STATISTICS & PROBABILITY