A new family of life distributions based on the elliptically contoured distributions

By Jose A. Diaz-Garcia, Victor Leiva-Sánchez. 2005

193 citations recorded by the source corpus.

Subfields: Demography, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/44be3fa6dcd813be1da40b35bd7319c1bb8ccc62

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Citations in the corpus

On an extreme value version of the Birnbaum-Saunders distribution (2012, background): “…denoted by Z ∼ S(fZ ), we then find the GBS distribution, i.e., T ∼ GBS(α, β; g), where g is the kernel of the p.d.f. of Z given by fZ (z) = c g(z 2), with z ∈ R and c being the normalization constant, i.e., the positive value such that∫ +∞ −∞ g(z 2) dz = 1/c; see Dı́az-Garćıa and Leiva (2005).”
Acceptance Sampling Plans from Truncated Life Tests Based on the Generalized Birnbaum–Saunders Distribution (2007, unknown): “Recently, Díaz-García and Leiva (2005, 2007) presented a generalization of the BS distribution by assuming that Z follows a symmetrical distribution in (elliptically contoured distributions) with location parameter = 0 and scale parameter = 1, i.e., Z ∼ EC 0 1 f , where f · is the pdf of Z.”
A New Fatigue Life Model Based on the Family of Skew-Elliptical Distributions (2006, methodology): “Properties and Characterizations Next we present some properties of the distribution of the r.v. given in (15), some of which were presented in Birnbaum and Saunders (1969), when Z ∼ N 0 1 , and in Díaz-García and Leiva-Sánchez (2005), when Z ∼ EC 0 1 g .”
Log-symmetric distributions: Statistical properties and parameter estimation (2016, methodology): “…(Birnbaum and Saunders, 1969), Birnbaum–Saunders-t (Barros, Paula and Leiva, 2008, Paula et al., 2012) and generalized Birnbaum–Saunders (Díaz-García and Leiva, 2005) distributions) by introducing therein an additional parameter that may be used to control the shape of the hazard…”
The Kumaraswamy Generalized Half-Normal Distribution for Skewed Positive Data (2012, background): “However, more recently, Dı́az-Garćıa and Leiva (2005) introduced a new family of generalized BS distributions based on contoured elliptically distributions and Cooray and Ananda (2008) defined the generalized half-normal (GHN) distribution derived from a model for static fatigue.”