In a recent paper,  Batún-Cutz et al. (2013) showed that the density of the maximum of the components of a l2,p-symmetrically distributed random vector have skewed l1,p-symmetric distribution. Their proof, based on a geometric measure representation for the distribution of the maximum, is...

Birnbaum and Saunders introduced in 1969 a two-parameter lifetime distribution which has been used quite successfully to model a wide variety of univariate positively skewed data. Diaz-Garcia and Leiva-Sanchez [8] proposed a generalized Birnbaum–Saunders distribution by using an elliptically...

We present a new generalized family of skew two-piece skew-elliptical (GSTPSE) models and derive some its statistical properties. It is shown that the new family of distribution may be written as a mixture of generalized skew elliptical distributions. Also, a new representation theorem for a...

In this paper, we use joint and conditional distributions of order statistics from a trivariate normal distribution to obtain closed expressions for reliability measures such as mean residual lifetime for systems with three dependent components with normal lifetimes.