1981Communication in Statistics- Theory and MethodsRequires access

A continuous general multivariate distribution and its properties

Carles M. Cuadras, Joan Augé

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Abstract

Starting from two known continuous univariate distributions, a bivariate distribution is constructed depending on a parameter which measures the degree of stochastic dependence between the two random variables. From the foregoing construction we then pass to a multivariate-type distribution, constructed using only univariate distributions and an association matrix. Some properties of the multivariate and bivariate case are studied.

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What this paper is about

Starting from two known continuous univariate distributions, a bivariate distribution is constructed depending on a parameter which measures the degree of stochastic dependence between the two random variables. From the foregoing construction we then pass to a multivariate-type distribution, constructed using only univariate distributions and an association matrix. Some properties of the multivariate and bivariate case are studied.

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OpenAlex reports 163 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Starting from two known continuous univariate distributions, a bivariate distribution is constructed depending on a parameter which measures the degree of stochastic dependence between the two random variables. From the foregoing construction we then pass to a multivariate-type distribution, constructed using only univariate distributions and an association matrix. Some properties of the multivariate and bivariate case are studied.

Key concepts: Multivariate statistics, Distribution (mathematics), Mathematics, Statistics, Computer science, Mathematical analysis

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