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On the Canonical Form of Scale Mixtures of Skew-Normal Distributions

open access: yesStatistica, 2020
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
doaj   +5 more sources

Linear censored regression models with skew scale mixtures of normal distributions. [PDF]

open access: yesJ Appl Stat, 2021
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.
europepmc   +4 more sources

Skew scale mixtures of normal distributions: Properties and estimation

open access: yesStatistical Methodology, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Clécio S Ferreira   +2 more
exaly   +8 more sources

Quasi-Exponentiated Normal Distributions: Mixture Representations and Asymmetrization

open access: yesMathematics, 2023
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
doaj   +1 more source

Mixture Representations for Generalized Burr, Snedecor–Fisher and Generalized Student Distributions with Related Results

open access: yesMathematics, 2023
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
doaj   +1 more source

Analytic and Asymptotic Properties of the Generalized Student and Generalized Lomax Distributions

open access: yesMathematics, 2023
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
doaj   +1 more source

Chebyshev–Edgeworth-Type Approximations for Statistics Based on Samples with Random Sizes

open access: yesMathematics, 2021
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
doaj   +1 more source

Multivariate Scale-Mixed Stable Distributions and Related Limit Theorems

open access: yesMathematics, 2020
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
doaj   +1 more source

Statistical Inference for a General Class of Noncentral Elliptical Distributions

open access: yesRevstat Statistical Journal, 2021
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
doaj   +1 more source

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