Pavel Mozgunov

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We consider a Bayesian problem of estimating of probability of success in a series of conditionally independent trials with binary outcomes. We study the asymptotic behaviour of differential entropy for posterior probability density function conditional on x successes after n conditionally independent trials, when n → ∞. Three particular cases are studied:(More)
The paper considers a family of probability distributions depending on a parameter. The goal is to derive the generalized versions of Cramér-Rao and Bhattacharyya inequalities for the weighted covariance matrix and of the Kullback inequality for the weighted Kullback distance, which are important objects themselves [9, 23, 28]. The asymptotic forms of these(More)
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