On a form of bi-variate-t distribution.
G. S. Lingappaiah (1980)
Gaceta Matemática
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G. S. Lingappaiah (1980)
Gaceta Matemática
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Oldřich Kropáč (1982)
Aplikace matematiky
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In the paper the basic analytical properties of the MacDonald function (the modified Bessel function of the second kind) are summarized and the properties of some subclasses of distribution functions based on MacDonald function, especially of the types and are discussed. The distribution functions mentioned are useful for analytical modelling of composed (mixed) distributions, especially for products of random variables having distributions of the exponential type. Extensive and...
Olapade, A.K. (2004)
International Journal of Mathematics and Mathematical Sciences
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Jaromír Antoch (1978)
Časopis pro pěstování matematiky
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Eliseo Martínez, Héctor Varela, Héctor W. Gómez, Heleno Bolfarine (2008)
SORT
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In this paper an alternative approach to the one in Henze (1986) is proposed for deriving the odd moments of the skew-normal distribution considered in Azzalini (1985). The approach is based on a Pascal type triangle, which seems to greatly simplify moments computation. Moreover, it is shown that the likelihood equation for estimating the asymmetry parameter in such model is generated as orthogonal functions to the sample vector. As a consequence, conditions for a unique solution of...