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We propose a modified $\chi^{\beta}$-divergence, give some of its properties, and show that this leads to the definition of a generalized Fisher information. We give generalized Cram\'er-Rao inequalit...
We review recent results about the maximal values of the Kullback-Leibler information divergence from statistical models defined by neural networks, including naive Bayes models, restricted Boltzmann ...
This paper studies the change point problem for a general parametric, univariate or multivariate family of distributions.
Recently Batsidis \textit{et al.} (2011) have presented a new procedure based on divergence measures for testing the hypothesis of the existence of a change point in exponential populations.
This paper considers estimation of the predictive density for a normal linear model with unknown variance under -divergence loss for −1   1. We first give a general canonical form for the...
It is proved that the information divergence statistic is infinitely more Bahadur efficient than the power divergence statistics of the orders > 1 as long as the sequence of alternatives is conti...
In this article it is argued that the models of German citizenship are quite dynamic and evolving. The German tradition today is more in line with the French and U.S. republican model of jus soli citi...
We consider a time-inhomogeneous Markov family (X, P,3 corresponding to a symmetric uniformly elliptic divergence form operator. We show that for any rp in the Sobolev space W: n Wi with p = 2 if d...
In this paper a method for proving homogenization of divergence form elliptic equations is extended to the non-divergence case. A new proof of homogenization is given when the coefficients in the equa...
In this paper a method for proving homogenization of divergence form elliptic equations is extended to the non-divergence case. A new proof of homogenization is given when the coefficients in the equa...
We unify f-divergences, Bregman divergences, surrogate loss bounds (regret bounds), proper scoring rules, matching losses, cost curves, ROC-curves and information. We do this by systematically study...

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