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 &gt; 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.
It is bounded by unity, but your first vector does not encode a probability mass function, since 0.5 + 0.7 > 1.0. If the 0.7 had been 0.5 or the 0.5 a 0.3, the distance would have been 1.0 since the distributions are maximally separated, having no overlap.