A new ordering for nonmonotone dependence is proposed, and a method is presented for describing parametric families of bivariate distributions with fixed marginals and specified dependence structures.

Examples obtained include the bivariate Poisson, binomial, negative binomial, normal, chi-square, logistic and Pareto distributions. The Institute of Mathematical Statistics Lecture Notes–Monograph ...

Functions of Random Variables. Monte Carlo Simulation in R. Joint distributions and joint moments. Marginal and conditional densities. Independence, covariance and correlation. Sums of random ...