Displaying similar documents to “On the ratio of gamma and Rayleigh random variables”

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

Similarity:

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.

Drought models based on Burr XII variables

Saralees Nadarajah, B. M. Golam Kibria (2006)

Applicationes Mathematicae

Similarity:

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.

A note on the Ecogen language built-in random deviate generators.

Jordi Ocaña, M.ª Carmen Ruiz de Villa, Guillem Alonso (1986)

Qüestiió

Similarity:

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...

Some properties and applications of probability distributions based on MacDonald function

Oldřich Kropáč (1982)

Aplikace matematiky

Similarity:

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 x n K n ( x ) , x ≥ 0 , x n K n ( x x ) , x ∈ 𝐑 and x n + 1 K n ( x ) , x ≥ 0 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...

A model for proportions with medical applications

Saralees Nadarajah (2007)

Applicationes Mathematicae

Similarity:

Data that are proportions arise most frequently in biomedical research. In this paper, the exact distributions of R = X + Y and W = X/(X+Y) and the corresponding moment properties are derived when X and Y are proportions and arise from the most flexible bivariate beta distribution known to date. The associated estimation procedures are developed. Finally, two medical data sets are used to illustrate possible applications.