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2013
Pareto scale mixtures are very effective for modelling heavy-tailed data. A new class of models is described, generalizing commonly used slash distributions. Mixture properties and possible applications are discussed.
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Pareto scale mixtures are very effective for modelling heavy-tailed data. A new class of models is described, generalizing commonly used slash distributions. Mixture properties and possible applications are discussed.
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Characterizing and approximating scale mixtures
2023The purpose of this study is to identify and approximate infinite scale mixtures of normals, infinite scale mixture of uniforms and infinite scale mixtures of exponentials. We present a new method for approximating an infinite scale mixture with a known mixing measure by a scale mixture with a finite number of terms. The method is based on discretizing
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On scale mixtures of normal distributions
Biometrika, 1987The exponential power family of distributions of \textit{G. E. P. Box} and \textit{G. C. Tiao} [Bayesian inference in statistical analysis. (1973; Zbl 0271.62044)] is shown to be a subset of the class of scale mixtures of normals. The corresponding mixing distributions are explicitly obtained, identifying a close relationship between the exponential ...
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Truncation and Variance in Scale Mixtures
1993Let X be a continuous nonnegative random variable with density f, mean µ, and finite variance σ 2. Mullooly (1988), hereafter simply Mullooly, has shown that if f is positive on the interior of its support, \(\mathop {\lim }\limits_{x \to 0} f(x) >0\frac{\sigma }{\mu } > 1\), and \(\frac{\sigma }{\mu } >1\), then σ 2 may be increased by truncation ...
William C. Bauldry, Jaimie L. Hebert
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Strong unimodality and scale mixtures
Annals of the Institute of Statistical Mathematics, 1984It is known that the asymptotically optimal L-estimator has non-negative weights if and only if the underlying density is strongly unimodal. Since the Tukey model is often used to model data containing gross errors, it is of interest to know when such densities are strongly unimodal.
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Moments of inverted scale mixtures
Communications in Statistics - Theory and Methods, 1994We consider characteristics of the distribution of Y = 1/X when X has a density which can be represented as a scale mixture of exponential densities. We show that moments of order 1 or greater will not exist for this class of distributions, although rational moments may exist.
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Scaling in superconductor-insulator mixtures
Solid State Communications, 1981We present a scaling theory for mixtures of insulator and superconductor. The theory agrees with existing experiments on Hgx Xe1−x and predicts some relations at low temperatures near the percolation concentration which can be tested.
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Study on Large-Scale Direct Shear Test on Soil–Rock Mixture in an Immersion State under Water
International Journal of Geomechanics, 2023Shihua Liang, Feng Deluan
exaly
Effect of multi-scale nanocomposites on performance of asphalt binder and mixture
Construction and Building Materials, 2020Henglong Zhang
exaly

