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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 ...
The issue of price disparities in the EU commodity markets has given rise to a fair amount of empirical and theoretical research. Price convergence studies were generally on the aggregate level, and i...
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.
We consider the exponential Levy models and we study the conditions under which f-minimal equivalent martingale measure preserves Levy property. Then we give a general formula for optimal strategy in...
We consider the exponential Levy models and we study the conditions under which f-minimal equivalent martingale measure preserves Levy property. Then we give a general formula for optimal strategy in ...
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...
There has been a lot of research done to better understand the effects of taxation on cigarette consumption. Since cigarettes are addictive, it could be expected that taxation would have little or...
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...
聚类分析在数据挖掘领域有着广泛的应用,该文提出一个聚类新思路,它不需要任何参数的假设,只基于数据两两之间的相似性。该方法假设数据点之间存在随机游走关系,根据数据相似性构造随机游走过程的转移矩阵,当随机游走过程进入收敛期后,t阶转移矩阵揭示了数据点的分布。用迭代方法寻找最小的KL-divergence来对这些分布聚类。该方法具有严谨的概率理论基础,避免了传统算法需要参数假设、限于局部最优等不足。实验...
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...

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