In reply to Rick Wicklin.

Dear Rick,
Many thanks for your very fast and kind reply.
Unfortunately, I think that the problem is too much complicated.
Indeed I need to simulate 2 multinomial (multicategorial) distributions maybe with different probabilities (the 2 raters can give their rating with different probabilities) that are correlated to exprime the agreement of the two raters.
So, the two distributions are uncorrelated in the case of an agreement absolutely by chance and are more an more positively correlated in the case of an increasing agreement.
Many thanks for your help
Bruno Mario Cesana