On the Canonical Form of Scale Mixtures of Skew-Normal Distributions
The canonical form of scale mixtures of multivariate skew-normal distribution is defined, emphasizing its role in summarizing some key properties of this class of distributions.
Antonella Capitanio
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Linear censored regression models with skew scale mixtures of normal distributions. [PDF]
A special source of difficulty in the statistical analysis is the possibility that some subjects may not have a complete observation of the response variable. Such incomplete observation of the response variable is called censoring. Censorship can occur for a variety of reasons, including limitations of measurement equipment, design of the experiment ...
Guzmán DCF, Ferreira CS, Zeller CB.
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Skew scale mixtures of normal distributions: Properties and estimation
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Clécio S Ferreira +2 more
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Inference and diagnostics for heteroscedastic nonlinear regression models under skew scale mixtures of normal distributions. [PDF]
da Silva Ferreira C +2 more
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Quasi-Exponentiated Normal Distributions: Mixture Representations and Asymmetrization
In the paper, quasi-exponentiated normal distributions are introduced for any real power (exponent) no less than two. With natural exponents, the quasi-exponentiated normal distributions coincide with the distributions of the corresponding powers of ...
Victor Korolev, Alexander Zeifman
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In this paper, the representability of the generalized Student’s distribution as uniform and normal-scale mixtures is considered. It is also shown that the generalized Burr and the Snedecor–Fisher distributions can be represented as the scale mixtures of
Victor Korolev, Alexander Zeifman
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Analytic and Asymptotic Properties of the Generalized Student and Generalized Lomax Distributions
Analytic and asymptotic properties of the generalized Student and generalized Lomax distributions are discussed, with the main focus on the representation of these distributions as scale mixtures of the laws that appear as limit distributions in ...
Victor Korolev
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Chebyshev–Edgeworth-Type Approximations for Statistics Based on Samples with Random Sizes
Second-order Chebyshev–Edgeworth expansions are derived for various statistics from samples with random sample sizes, where the asymptotic laws are scale mixtures of the standard normal or chi-square distributions with scale mixing gamma or inverse ...
Gerd Christoph, Vladimir V. Ulyanov
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Multivariate Scale-Mixed Stable Distributions and Related Limit Theorems
In the paper, multivariate probability distributions are considered that are representable as scale mixtures of multivariate stable distributions. Multivariate analogs of the Mittag–Leffler distribution are introduced.
Yury Khokhlov +2 more
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Statistical Inference for a General Class of Noncentral Elliptical Distributions
In this paper we introduce a new family of noncentral elliptical distributions. This family is generated as the quotient of two independent random variables, one with noncentral standard elliptical distribution and the other the power of a U(0, 1 ...
Jimmy Reyes +3 more
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