Displaying similar documents to “Extreme Values of the Sequences of Independent Random Variables With Mixed Distributions”

On a general structure of the bivariate FGM type distributions

Sayed Mohsen Mirhosseini, Mohammad Amini, Ali Dolati (2015)

Applications of Mathematics

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In this paper, we study a general structure for the so-called Farlie-Gumbel-Morgenstern (FGM) family of bivariate distributions. Through examples we show how to use the proposed structure to study dependence properties of the FGM type distributions by a general approach.

Extreme value distributions for dependent jointly ln,p-symmetrically distributed random variables

K. Müller, W.-D. Richter (2016)

Dependence Modeling

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A measure-of-cone representation of skewed continuous ln,p-symmetric distributions, n ∈ N, p > 0, is proved following the geometric approach known for elliptically contoured distributions. On this basis, distributions of extreme values of n dependent random variables are derived if the latter follow a joint continuous ln,p-symmetric distribution. Light, heavy, and extremely far tails as well as tail indices are discussed, and new parameters of multivariate tail behavior are introduced. ...

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 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.