# What is Bhattacharyya coefficient?

## What is Bhattacharyya coefficient?

It is closely related to the Bhattacharyya coefficient which is a measure of the amount of overlap between two statistical samples or populations. Both measures are named after Anil Kumar Bhattacharya, a statistician who worked in the 1930s at the Indian Statistical Institute.

## What is Bhattacharyya distance in statistics?

In statistics, the Bhattacharyya distance measures the similarity of two probability distributions. It is closely related to the Bhattacharyya coefficient which is a measure of the amount of overlap between two statistical samples or populations.

What is the Bhattacharyya metric?

The Bhattacharyya metric as an absolute similarity measure for frequency coded data. Kybernetika, 32(4), 1–7. Bhattacharyya, A. (1943). On a measure of divergence between two statistical populations deﬁned by their probability distribution.

### What is the Bhattacharyya measure of cosine?

0(i) = 1. The Bhattacharyya measure (Bhattacharyya, 1943) (or coeﬃcient) is a divergence-type measure between distributions, deﬁned as, ρ(p,p0) = XN i=1 p p(i)p0(i). (1) The Bhattacharyya measure has a simple geometric interpretation as the cosine of the angle between the N-dimensional vectors ( p p(1),…, p p(N))>and ( p p0(1),…, p p0(N))>.

It is closely related to the Bhattacharyya coefficient which is a measure of the amount of overlap between two statistical samples or populations. Both measures are named after Anil Kumar Bhattacharyya, a statistician who worked in the 1930s at the Indian Statistical Institute.

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#### What is the use of Bhattacharyya distance in classification?

It is used to measure the separability of classes in classification and it is considered to be more reliable than the Mahalanobis distance, as the Mahalanobis distance is a particular case of the Bhattacharyya distance when the standard deviations of the two classes are the same.