A note on contingency-type bivariate distributions

Abstract

SUMMARY Some results are proved about a family of bivariate distributions introduced by Plackett. Let X and Y be random variables with distribution functions F and G and density functions f and g . Plackett (1965) defined a class of bivariate distribution functions for ( X, Y ) which are indexed by a parameter ψ measuring the association between X and Y as that root of the equation.