In mathematics, the Hellinger integral is an integral introduced by that is a special case of the
Kolmogorov integral. It is used to define the
Hellinger distance
In probability and statistics, the Hellinger distance (closely related to, although different from, the Bhattacharyya distance) is used to quantify the similarity between two probability distributions. It is a type of ''f''-divergence. The Hel ...
in probability theory.
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{{integral
Definitions of mathematical integration