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math.ST2016★ 2 cited
Bayes estimator for multinomial parameters and Bhattacharyya distances
Christopher Ferrie, Robin Blume-Kohout
We derive the Bayes estimator for the parameters of a multinomial distribution under two loss functions ( and ) that are based on the Bhattacharyya coefficient $B(\vec{…
math.ST2012★ 14 cited
Estimating the bias of a noisy coin
Christopher Ferrie, Robin Blume-Kohout
Optimal estimation of a coin's bias using noisy data is surprisingly different from the same problem with noiseless data. We study this problem using entropy risk to quantify estim…