A new bivariate distribution with applications

Sathya Amarasekara, University of Texas at El Paso

Abstract

We construct a bivariate distribution of (X, Y ) by assuming that the conditional distribution of Y given X is a two-parameter Gamma (s, ν(x)), where the scale parameter depends on X. If X is assumed to be any distribution, then clearly the joint distribution is well defined in all cases. We will study this new distribution by developing all possible properties, moments, shapes and estimation of parameters with a view towards applications of the distribution to data from many random number generation methods.

Subject Area

Statistics

Recommended Citation

Amarasekara, Sathya, "A new bivariate distribution with applications" (2014). ETD Collection for University of Texas, El Paso. AAI1564659.
https://scholarworks.utep.edu/dissertations/AAI1564659

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