I may be mistaken, but I think that the hellinger function is returning the square of the hellinger distance, rather than the Hellinger distance itself, as per the definition: https://en.wikipedia.org/wiki/Hellinger_distance i.e
H^{2} = 1 - int(sqrt(f(x)g(x)))
I may be mistaken, but I think that the hellinger function is returning the square of the hellinger distance, rather than the Hellinger distance itself, as per the definition: https://en.wikipedia.org/wiki/Hellinger_distance i.e H^{2} = 1 - int(sqrt(f(x)g(x)))