A New Fatigue Life Model Based on the Family of Skew-Elliptical Distributions

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Influence analysis in skew-Birnbaum–Saunders regression models and applications (2011, methodology): “This class is named the skewBS (SBS) distribution [21,35] and is mainly motivated by two points: (i) the SBS specification allows us to estimate extreme percentiles located at the left-tail of the distribution, which is not possible with the usual BS specification; (ii) using the SBS model, the maxi”
Characterization of diameter distribution data in near-natural forests using the Birnbaum–Saunders distribution (2008, methodology): “The Birnbaum–Saunders distribution is one of the theoretical distributions used to describe asymmetric distributions of this type (Vilca-Labra and Leiva 2006) and has been applied in a variety of fields (e.g., the lifespan of a material, product, or entity; Dı́az-Garcı́a and Leiva 2005; Vilca-Labra ”
A nonparametric method for estimating asymmetric densities based on skewed Birnbaum–Saunders distributions applied to environmental data (2013, methodology): “where nx skew-GBSð ffiffiffi h p ; x; k; gÞ: Taking the expressions for the mean and variance of a skew-GBS distributed RV given in Vilca and Leiva (2006) and expressed in (5), we obtain”