# Limits of Hellinger distance values

I am calculating Hellinger distance for different vectors. I initially assumed that the value returned by it in in the range of 0 to 1.

However for the following two vectors I received Hellinger score as 1.0488088481701514, which is > 1.

vector_1 = [0.0,0.5,0.7]
vector_2 = [1.0,0.0,0.0]


Now, I am curious to know the range of Hellinger distance values. Please explain me why that value exceeded 1.

• Which implementation of Hellinger distance? Did you implement it yourself or are you using a package? – Mephy Sep 11 '17 at 13:51