What does it mean if my computed values for a metric is negative?

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I am trying to compute the normalized information distance (statistical correlation between two random variables)

Normalized information Distance formula

H(X), H(Y ), and H(X, Y ) denote the entropy of X, the entropy of Y, and the joint entropy of {X, Y }, respectively. It is a true metric and hence follows the non-negativity property.

But when I try to compute the value for this metric, I am getting my value to be below 0. I am not sure how to proceed with this

  • What does it mean to have a negative value for a matric that can only be between 0 and 1
  • I have checked my computation of NID and it seems to be correct to me