Rate of convergence towards a Fréchet type limit distribution
Helena Iglèsias Pereira (1983)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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Helena Iglèsias Pereira (1983)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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F Czekała (1991)
Applicationes Mathematicae
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Janson, Svante (2010)
Probability Surveys [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.
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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L. Kubik (1962)
Studia Mathematica
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Hürlimann, Werner (2009)
International Journal of Mathematics and Mathematical 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.
G. S. Lingappaiah (1984)
Trabajos de Estadística e Investigación Operativa
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Discrete analogue of the Liouville distribution is defined and is termed as Discrete Generalized Liouville-Type Distribution (DGL-TD). Firstly, properties in its factorial and ordinary moments are given. Then by finding the covariance matrix, partial and multiple correlations for DGL-TD are evaluated. Multinomial, multivariate negative binomial and multivariate log series distributions are shown as particular cases of this general distribution. The asymptotic distribution of the estimates...
Christopher S. Withers, Saralees Nadarajah (2011)
Applicationes Mathematicae
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The five-parameter generalized gamma distribution is one of the most flexible distributions in statistics. In this note, for the first time, we provide asymptotic covariances for the parameters using both the method of maximum likelihood and the method of moments.