# Questions tagged [bhattacharyya]

Use this tag if you are asking about the Bhattacharyya distance or the Bhattacharyya coefficient.

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### Thresholds for Bhattacharyya coefficient - when do the distributions differ significantly

The Bhattacharyya coefficient of two discrete probability distributions is defined as $$BC(p,q) = \sum_{i=1}^n \sqrt{p_iq_i}.$$ This coefficient lies within the interval $[0,1]$ and if $p=q$ then it ...
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### Doubt about Bhattacharyya Coefficient

I wrote this code to compute the bhattacharyya coefficient between two probabilities distributions. The idea behind was to compute a kernel transformation on the original data, compute 3 estimators (...
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### Convex variant of Bhattacharyya coefficient

For (discrete, finite) probability distributions $P,Q$, the Bhattacharyya coefficient is $B(P,Q) := \sum_x \sqrt{P_x Q_x}$. It can be shown that this is jointly concave in $P$ and $Q$. My question is, ...
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### Are Bhattacharyya coefficient and total variation distance complementary?

I was reading about total variation distance, and, as I understood it, it should measure how much two probability measures don't overlap. To be clear: in these images Bhattacharyya coefficient is ...
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