On the product and ratio of Bessel random variables.
Nadarajah, Saralees, Gupta, Arjun K. (2005)
International Journal of Mathematics and Mathematical Sciences
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Nadarajah, Saralees, Gupta, Arjun K. (2005)
International Journal of Mathematics and Mathematical Sciences
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Krystyna Kędziora (1980)
Applicationes Mathematicae
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Nadarajah, Saralees (2005)
Journal of Applied Mathematics
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Nadarajah, Saralees, Kotz, Samuel (2005)
Journal of Applied Mathematics and Decision Sciences
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Saralees Nadarajah (2007)
Applicationes Mathematicae
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The gamma and Rayleigh distributions are two of the most applied distributions in engineering. Motivated by engineering issues, the exact distribution of the quotient X/Y is derived when X and Y are independent gamma and Rayleigh random variables. Tabulations of the associated percentage points and a computer program for generating them are also given.
I. Kotlarski (1962)
Colloquium Mathematicae
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H. M. Barakat (2002)
Applicationes Mathematicae
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The limit behaviour of the extreme order statistics arising from n two-dimensional independent and non-identically distributed random vectors is investigated. Necessary and sufficient conditions for the weak convergence of the distribution function (d.f.) of the vector of extremes, as well as the form of the limit d.f.'s, are obtained. Moreover, conditions for the components of the vector of extremes to be asymptotically independent are studied.
Célia Maria Pinto Nunes, Sandra Maria Bargão Saraiva Ferreira, Dário Jorge da Conceição Ferreira (2009)
Discussiones Mathematicae Probability and Statistics
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Generalized F tests were introduced for linear models by Michalski and Zmyślony (1996, 1999). When the observations are taken in not perfectly standardized conditions the F tests have generalized F distributions with random non-centrality parameters, see Nunes and Mexia (2006). We now study the case of nearly normal perturbations leading to Gamma distributed non-centrality parameters.
Bosetto, Elena (1999)
Beiträge zur Algebra und Geometrie
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K. Müller, W.-D. Richter (2016)
Dependence Modeling
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Integral representations of the exact distributions of order statistics are derived in a geometric way when three or four random variables depend on each other as the components of continuous ln,psymmetrically distributed random vectors do, n ∈ {3,4}, p > 0. Once the representations are implemented in a computer program, it is easy to change the density generator of the ln,p-symmetric distribution with another one for newly evaluating the distribution of interest. For two groups of...
Kerov, S.V. (2005)
Zapiski Nauchnykh Seminarov POMI
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Ibarrola, Ricardo Vélez, Prieto-Rumeau, Tomás (2009)
Electronic Journal of Probability [electronic only]
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Z. Grudzień, D. Szynal (1999)
Applicationes Mathematicae
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Power distributions can be characterized by equalities involving three moments of order statistics. Similar equalities involving three moments of k-record values can also be used for such a characterization. The case of samples with random sizes is also considered.