A Class of Symmetric Bivariate Uniform Distributions
نویسنده
چکیده
A class of symmetric bivariate uniform distributions is proposed for use in statistical modeling. The distributions may be constructed to be absolutely continuous with correlations as close to ±1 as desired. Expressions for the correlations, regressions and copulas are found. An extension to three dimensions is proposed.
منابع مشابه
On Bivariate Generalized Exponential-Power Series Class of Distributions
In this paper, we introduce a new class of bivariate distributions by compounding the bivariate generalized exponential and power-series distributions. This new class contains the bivariate generalized exponential-Poisson, bivariate generalized exponential-logarithmic, bivariate generalized exponential-binomial and bivariate generalized exponential-negative binomial distributions as specia...
متن کاملOn Classification of Bivariate Distributions Based on Mutual Information
Among all measures of independence between random variables, mutual information is the only one that is based on information theory. Mutual information takes into account of all kinds of dependencies between variables, i.e., both the linear and non-linear dependencies. In this paper we have classified some well-known bivariate distributions into two classes of distributions based on their mutua...
متن کاملA note on "Generalized bivariate copulas and their properties"
In 2004, Rodr'{i}guez-Lallena and '{U}beda-Flores have introduced a class of bivariate copulas which generalizes some known families such as the Farlie-Gumbel-Morgenstern distributions. In 2006, Dolati and '{U}beda-Flores presented multivariate generalizations of this class. Then in 2011, Kim et al. generalized Rodr'{i}guez-Lallena and '{U}beda-Flores' study to any given copula family. But ther...
متن کاملA Family of Symmetric Distributions on the Circle
We propose a new family of symmetric unimodal distributions on the circle which contains the uniform, von Mises, cardioid and wrapped Cauchy distributions, amongst others, as special cases. The basic form of the densities of this family is very simple, although its normalisation constant involves an associated Legendre function. The family of distributions can also be derived by conditioning an...
متن کاملBivariate Extremes and Estimation of Location
A problem of estimating the location of a source of scattered radiation is considered. The role of extremes in estimation problems for truncated distributions is discussed from the Bayesian point of view. The emphasis is made on the bivariate case of spherically symmetric distributions. The cases of truncated normal, uniform, and Cauchy distributions are considered. Such location estimators as ...
متن کامل