In this paper, we first show that Renyi distance between any member of a parametric family and its perturbations, is proportional to its Fisher information. We, then, prove some relations between the Renyi distance of two distributions and the Fisher information of their exponentially twisted family of densities. Finally, we show that the partial ordering of families induced by Renyi dis...

This is an expanded version of the short report arXiv:1401.0539, where we studied the time evolution of (Renyi) entanglement entropies for the excited state defined by acting a given local operator on the ground state. In the present paper, we introduce (Renyi) entanglement entropies of given local operators which are defined by late time values of excesses of (Renyi) entanglement entropies. Th...

First, Renyi radius is defined for any positive order and for any set of probability measures on any measurable space. ErvenHarremoes conjecture is proved for any set of probability measures with finite Renyi radius. Finiteness of Renyi radius for a positive order α is shown to imply three continuity results: the continuity of Renyi radius as a function of order on (0, α], the uniform equiconti...

We show that the minimum Renyi entropy output of a quantum channel is locally additive for Renyi parameter α > 1. While our work extends the results of [11] (in which local additivity was proven for α = 1), it is based on several new techniques that incorporate the multiplicative nature of `p-norms, in contrast to the additivity property of the von-Neumann entropy. Our results demonstrate that ...

New molecular descriptors, RED (Renyi entropy descriptors), based on the generalized entropies introduced by Renyi are presented. Topological descriptors based on molecular features have proven to be useful for describing molecular profiles. Renyi entropy is used as a variability measure to contract a feature-pair distribution composing the descriptor vector. The performance of RED descriptors ...

Based on the data from the Chinese financial market, this paper focuses on analyzing three types of network entropies of the financial market, namely, Shannon, Renyi and Tsallis entropies. The findings suggest that Shannon entropy can reflect the volatility of the financial market, that Renyi and Tsallis entropies also have this function when their parameter has a positive value, and that Renyi...

In this paper, we introduce new tests for exponentiality based on estimators of Renyi entropy of a continuous random variable. We first consider two transformations of the observations which turn the test of exponentiality into one of uniformity and use a corresponding test based on Renyi entropy. Critical values of the test statistics are computed by Monte Carlo simulations. Then, we compare p...

In this chapter, how the structure of a network can affect the social welfare and inequality (measured by the Gini coefficient) are investigated based on a graphical game model which is referred to as the Networked Resource Game (NRG). For the network structure, the Erdos-Renyi model, the preferential attachment model, and several other network structure models are implemented and compared to s...

Multiple sequence alignment plays a crucial role in extracting structural, functional, and evolutionary information from the exponentially growing sequence data from the ongoing genome sequencing. Based on the case study of retrotransposon sequence alignment, this thesis compares three alignment programs, DIALIGN, CLUSTALW, and PRRN, and proposes some strategies to improve alignment quality, su...