Multivariate Location-Scale Mixtures of Normals and Mean-Variance-Skewness Portfolio Allocation [PDF]
We show that the distribution of any portfolio whose components jointly follow a location-scale mixture of normals can be characterised solely by its mean, variance and skewness. Under this distributional assumption, we derive the mean-variance-skewness frontier in closed form, and show that it can be spanned by three funds.
Enrique Sentana, Javier Mencía
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Bayesian measurement error models using finite mixtures of scale mixtures of skew-normal distributions [PDF]
We present a proposal to deal with the non-normality issue in the context of regression models with measurement errors when both the response and the explanatory variable are observed with error. We extend the normal model by jointly modeling the unobserved covariate and the random errors by a finite mixture of scale mixture of skew-normal ...
Celso Rômulo Barbosa Cabral +2 more
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BAYESIAN REGRESSION ANALYSIS WITH SCALE MIXTURES OF NORMALS [PDF]
This paper considers a Bayesian analysis of the linear regression model under independent sampling from general scale mixtures of normals. Using a common reference prior, we investigate the validity of Bayesian inference and the existence of posterior moments of the regression and scale parameters.
Fernández, C., Steel, M.F.J.
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mixsmsn: Fitting Finite Mixture of Scale Mixture of Skew-Normal Distributions [PDF]
We present the R package mixsmsn, which implements routines for maximum likeli- hood estimation (via an expectation maximization EM-type algorithm) in finite mixture models with components belonging to the class of scale mixtures of the skew-normal distribution, which we call the FMSMSN models.
Prates, Marcos Oliveira +2 more
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Robust Mixture Modeling Based on Two-Piece Scale Mixtures of Normal Family [PDF]
In this paper, we examine the finite mixture (FM) model with a flexible class of two-piece distributions based on the scale mixtures of normal (TP-SMN) family components. This family allows the development of a robust estimation of FM models.
Mohsen Maleki +2 more
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Scale Mixtures of Normal Distributions
Summary This paper presents necessary and sufficient conditions under which a random variable X may be generated as the ratio Z/V where Z and V are independent and Z has a standard normal distribution. This representation is useful in Monte Carlo calculations.
Andrews, D. F., Mallows, C. L.
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Skew scale mixtures of normal distributions: Properties and estimation
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Da Silva Ferreira, Clécio +2 more
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How Broad is the Class of Normal Scale Mixtures?
We study the class of scale mixtures of normal distributions with mean zero. Given that the $\operatorname{cdf} F(x)$ of such a mixture is fixed at two points, say $F(x_1) = \alpha_1, F(x_2) = \alpha_2$, we answer the question of how widely $F(x_3)$ can vary at some third point $x_3$. A brief final section mentions extensions of our theorem.
Efron, Bradley, Olshen, Richard A.
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Robust mixture modeling based on scale mixtures of skew-normal distributions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Basso, Rodrigo M. +3 more
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Scale and shape mixtures of multivariate skew-normal distributions [PDF]
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Reinaldo B. Arellano-Valle +2 more
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