To the best of my knowledge, mutual information (`MI`) is zero if and only if the variables are independent. 
I have simulated copula data and computed the `MI` and the results are as follows:

 1. Independent copula  (`MI` = `0.04`)
 2. Very weak dependency Gaussian copula (`MI` = `-0.03`)!


- My question is, is it acceptable to have negative `MI`? is that because the relationship between mutual information and copula is negative?

- Is it acceptable to have `> 0` for completely independent variables. 

I used `ifotheo` package in R.