On the product and ratio of Laplace and Bessel random variables.
Nadarajah, Saralees (2005)
Journal of Applied Mathematics
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Displaying similar documents to “On the product and ratio of Bessel random variables.”
On the product and ratio of Laplace and Bessel random variables.
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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On the ratio of gamma and Rayleigh random variables
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.
Drought models based on Burr XII variables
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.
On pairs of independent random variables whose quotients follow some known distribution
I. Kotlarski (1962)
Colloquium Mathematicae
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Limit distributions of quantiles for a random sample of random length
Krystyna Kędziora (1980)
Applicationes Mathematicae
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Systems of stochastically independent and normally distributed random points in the Euclidean space .
Bosetto, Elena (1999)
Beiträge zur Algebra und Geometrie
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Generalized F tests in models with random perturbations: the gamma case
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.
On the accuracy of approximation of the distribution of negative-binomial random sums by the gamma distribution
Tran Loc Hung, Tran Ngoc Hau (2018)
Kybernetika
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The main goal of this paper is to study the accuracy of approximation for the distributions of negative-binomial random sums of independent, identically distributed random variables by the gamma distribution.
De Finetti's-type results for some families of non identically distributed random variables.
Ibarrola, Ricardo Vélez, Prieto-Rumeau, Tomás (2009)
Electronic Journal of Probability [electronic only]
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The law of the iterated logarithm for exchangeable random variables.
Zhang, Hu-Ming, Taylor, Robert L. (1995)
International Journal of Mathematics and Mathematical Sciences
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A note on the Ecogen language built-in random deviate generators.
Jordi Ocaña, M.ª Carmen Ruiz de Villa, Guillem Alonso (1986)
Qüestiió
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The standard ECOGEN (a simulation language based on Pascal) random deviate generators are described. For every one of them, a short usage note and a description of the algorithm and underlying theory is presented. This paper must be considered as an addenda to a previous one where the ECOGEN language was described. The ECOGEN random deviate generators include the continuous and discrete uniform, Poisson, binomial, exponential, Cauchy, normal or Laplace-Gauss, beta, gamma, Weibull, Pareto...
On limit distribution theorems for sums of a random number of random variables appearing in the study of rarefaction of a recurrent process
D. Szynal (1976)
Applicationes Mathematicae
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Random fields and random sampling
Sandra Dias, Maria da Graça Temido (2019)
Kybernetika
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We study the limiting distribution of the maximum value of a stationary bivariate real random field satisfying suitable weak mixing conditions. In the first part, when the double dimensions of the random samples have a geometric growing pattern, a max-semistable distribution is obtained. In the second part, considering the random field sampled at double random times, a mixture distribution is established for the limiting distribution of the maximum.