On the ratio of Pearson type VII and Bessel random variables.
Nadarajah, Saralees, Kotz, Samuel (2005)
Journal of Applied Mathematics and Decision Sciences
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Nadarajah, Saralees, Kotz, Samuel (2005)
Journal of Applied Mathematics and Decision Sciences
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Saralees Nadarajah, B. M. Golam Kibria (2006)
Applicationes Mathematicae
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Burr distributions are some of the most versatile distributions in statistics. In this paper, a drought application is described by deriving the exact distributions of U = XY and W = X/(X+Y) when X and Y are independent Burr XII random variables. Drought data from the State of Nebraska are used.
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.
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.
Luís M. Grilo, Carlos A. Coelho (2010)
Discussiones Mathematicae Probability and Statistics
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Two near-exact distributions for the generalized Wilks Lambda statistic, used to test the independence of several sets of variables with a multivariate normal distribution, are developed for the case where two or more of these sets have an odd number of variables. Using the concept of near-exact distribution and based on a factorization of the exact characteristic function we obtain two approximations, which are very close to the exact distribution but far more manageable. These near-exact...
Leszek Knopik (2006)
Control and Cybernetics
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Jan Mikusiński, Roman Sikorski
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CONTENTS Introduction........................................................................................................... 3 § 1. The abstraction principle............................................................................... 4 § 2. Fundamental sequences of continuous functions......................................... 5 § 3. The definition of distributions........................................................................ 9 § 4. Distributions as a generalization of...
Matthev O. Ojo (2001)
Kragujevac Journal of Mathematics
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B. Kopociński, E. Trybusiowa (1966)
Applicationes Mathematicae
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Fabrizio Durante, Giovanni Puccetti, Matthias Scherer, Steven Vanduffel (2016)
Dependence Modeling
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Ricardo Estrada (2010)
Banach Center Publications
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It is well-known that any locally Lebesgue integrable function generates a unique distribution, a so-called regular distribution. It is also well-known that many non-integrable functions can be regularized to give distributions, but in general not in a unique fashion. What is not so well-known is that to many distributions one can associate an ordinary function, the function that assigns the distributional point value of the distribution at each point where the value exists, and that...
Stevan Pilipović (1988)
Publications de l'Institut Mathématique
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Katarzyna Steliga, Dominik Szynal (2015)
Applicationes Mathematicae
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The aim of this article is to give new formulae for central moments of the binomial, negative binomial, Poisson and logarithmic distributions. We show that they can also be derived from the known recurrence formulae for those moments. Central moments for distributions of the Panjer class are also studied. We expect our formulae to be useful in many applications.
Grzegorz Łysik (1990)
Annales Polonici Mathematici
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