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An appealing procedure is proposed here that works for broad classes of distributions under nonnegative correlation structures.
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Bingham et al. (2012) develop a broad class of distributions that are not rotationally symmetric (referred to here as nonsymmetric) by beginning with the symmetric UARS class.
This procedure is built upon the results of Balkema and de Haan (1974) and Pickands (1975), which state that, for a broad class of distributions, the values of the random variables above a sufficiently high threshold U follow a generalized Pareto distribution (GPD) with parameters ξ (shape index or tail parameter), β (the scale index), and U (the location index).
The probability distributions that we study in this article are specific examples of a broad class of distributions called the exponential family (Duda and Hart, 1973).
Although we will restrict our attention to a Gaussian covariance function, we shall consider a broad class of stationary distributions, and present practical techniques from applied mathematics and statistics for working with non-Gaussian distributions.
For a broad class of noise distributions the presented bound is valid whenever the temperature parameter β of the EWA is larger than or equal to 4σ2, where σ2 is the noise variance.
There are two broad classes of explanation.
Several broad classes of childhood disorders are recognized clinically.
Early analyses of S. sempervirens heartwood extracts quantified several broad classes of compounds.
There are two broad classes of Kenyon cells.
Two broad classes of plugin are defined.
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