Distinguishing example for the Tillmann product of distributions
Jiří Jelínek (1990)
Commentationes Mathematicae Universitatis Carolinae
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Jiří Jelínek (1990)
Commentationes Mathematicae Universitatis Carolinae
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Pavle Mladenović (1999)
Matematički Vesnik
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K. Müller, W.-D. Richter (2016)
Dependence Modeling
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A measure-of-cone representation of skewed continuous ln,p-symmetric distributions, n ∈ N, p > 0, is proved following the geometric approach known for elliptically contoured distributions. On this basis, distributions of extreme values of n dependent random variables are derived if the latter follow a joint continuous ln,p-symmetric distribution. Light, heavy, and extremely far tails as well as tail indices are discussed, and new parameters of multivariate tail behavior are introduced. ...
K. Müller, W.-D. Richter (2017)
Dependence Modeling
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We derive the exact distributions of order statistics from a finite number of, in general, dependent random variables following a joint ln,p-symmetric distribution. To this end,we first review the special cases of order statistics fromspherical aswell as from p-generalized Gaussian sample distributions from the literature. To study the case of general ln,p-dependence, we use both single-out and cone decompositions of the events in the sample space that correspond to the cumulative distribution...
Kiliçman, Adem, Fisher, Brian (1996)
Georgian Mathematical Journal
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Nguyen, Truc T., Dinh, Khoan T. (2000)
International Journal of Mathematics and Mathematical Sciences
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Özçaḡ, Emin, Ege, İnci, Gürçay, Haşmet, Jolevska-Tuneska, Biljana (2007)
Abstract and Applied Analysis
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B. Fisher (1976)
Studia Mathematica
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