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Open Quantum Systems Decoherence
Quantum Simulation
Bayes estimator for multinomial parameters and Bhattacharyya distances
arXiv
Authors: Christopher Ferrie, Robin Blume-Kohout
Year
2016
Paper ID
41611
Status
Preprint
Abstract Read
~2 min
Abstract Words
70
Citations
N/A
Abstract
We derive the Bayes estimator for the parameters of a multinomial distribution under two loss functions $1-B$ and $1-B2$ that are based on the Bhattacharyya coefficient B\(vec{p},vec{q}\) = sum{sqrt{pkqk}}. We formulate a non-commutative generalization relevant to quantum probability theory as an open problem. As an example application, we use our solution to find minimax estimators for a binomial parameter under Bhattacharyya loss $1-B2$.
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- We derive the Bayes estimator for the parameters of a multinomial distribution under two loss functions 1-B and 1-B^2 that are based on the Bhattacharyya coefficient...
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