One-parameter families of bivariate distributions with fixed marginals
For artibrary absolutely continuous univariate distributions F and G we discuss the problem of generating one-parameter families of bivarlate distributions With fixed marginals F and G. According to the statistical literature, for fixed F and G Caere are known co axist only two such families Which satisfy the conditions that they contain the Fee bounds and the distribution corresponding so independent random variables. This paper formalises the problem by suggesting twoadditional conditions these families should satisfy and shows that it is easy to generate many such one-parameter familie In particular, one new family is presented.