An algorithm for smoothing three-dimensional Monte Carlo ion implantation simulation results
Mathematics and Computers in Simulation - Special issue: Selected papers from the 4th IMACS symposium on mathematical modelling (4th MATHMOD)
Numerical Recipes 3rd Edition: The Art of Scientific Computing
Numerical Recipes 3rd Edition: The Art of Scientific Computing
A note on the maximum correlation for Baker's bivariate distributions with fixed marginals
Journal of Multivariate Analysis
From the Huang-Kotz FGM distribution to Baker's bivariate distribution
Journal of Multivariate Analysis
Dependence structure of bivariate order statistics with applications to Bayramoglu's distributions
Journal of Multivariate Analysis
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A new system of multivariate distributions with fixed marginal distributions is introduced via the consideration of random variates that are randomly chosen pairs of order statistics of the marginal distributions. The distributions allow arbitrary positive or negative Pearson correlations between pairs of random variates and generalise the Farlie-Gumbel-Morgenstern distribution. It is shown that the copulas of these distributions are special cases of the Bernstein copula. Generation of random numbers from the distributions is described, and formulas for the Kendall and grade (Spearman) correlations are given. Procedures for data fitting are described and illustrated with examples.