# Hellinger Distance Measure

(Redirected from Hellinger Distance Function)

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A Hellinger Distance Measure is a distance measure that is a probability distribution similarity function.

**Context:**- It can be used as a String Distance Measure.

**See:**Bhattacharyya Distance, Probability Theory, Mathematical Statistics, Probability Distributions, F-Divergence, Hellinger Integral.

## References

### 2014

- (Wikipedia, 2014) ⇒ http://en.wikipedia.org/wiki/Hellinger_distance Retrieved:2014-1-10.
- In probability and statistics, the
**Hellinger distance**is used to quantify the similarity between two probability distributions. It is a type of*f*-divergence. The Hellinger distance is defined in terms of the Hellinger integral, which was introduced by Ernst Hellinger in 1909.

- In probability and statistics, the

### 1997

- (Haussler & Opper, 1997) ⇒ David Haussler, and Manfred Opper. (1997). “Mutual Information, Metric Entropy and Cumulative Relative Entropy Risk.” In: The Annals of Statistics Journal, 25(6).