Open AccessJournal Article
A class of distributions which includes the normal ones
TLDR
In this paper, a nouvelle classe de fonctions de densite dependant du parametre de forme λ, telles que λ=0 corresponde a la densite normale standard.Abstract:
On introduit une nouvelle classe de fonctions de densite dependant du parametre de forme λ, telles que λ=0 corresponde a la densite normale standardread more
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Generalized additive models for location, scale and shape
TL;DR: The generalized additive model for location, scale and shape (GAMLSS) as mentioned in this paper is a general class of statistical models for a univariate response variable, which assumes independent observations of the response variable y given the parameters, the explanatory variables and the values of the random effects.
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Computing Bayes Factors by Combining Simulation and Asymptotic Approximations
TL;DR: In this article, the authors compare several methods of estimating Bayes factors when it is possible to simulate observations from the posterior distributions, via Markov chain Monte Carlo or other techniques, provided that each posterior distribution is well behaved in the sense of having a single dominant mode.
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The multivariate skew-normal distribution
Adelchi Azzalini,A. Dalla Valle +1 more
TL;DR: In this article, a multivariate parametric family such that the marginal densities are scalar skew-normal is introduced, and its properties are studied with special emphasis on the bivariate case.
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Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t‐distribution
TL;DR: In this paper, a fairly general procedure is studied to perturb a multivariate density satisfying a weak form of multivariate symmetry, and to generate a whole set of non-symmetric densities.
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Distributions generated by perturbation of symmetry with emphasis on a multivariate skew $t$ distribution
TL;DR: In this paper, a general procedure is studied to perturb a multivariate density satisfying a weak form of multivariate symmetry, and to generate a whole set of non-symmetric densities.
References
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Discrimination among some parametric models
TL;DR: In this paper, the error model is transformed and reparameterized to induce regular estimation on the boundary with one or both degrees of freedom infinite, leading to bivariate score tests for normal, extreme value and logistic special cases as well as an evaluation of these models within a more general framework.