("It takes an infinite amount of information to pin-point a continuous variable".) It is shown, however, that a "law of diminishing returns" operates. The information content of a distribution over a narrow interval as decreasing with the range of the variable and this decrease exactly ...
In many statistical studies the entropy of a distribution function is of prime interest. This paper proposes two estimators of the entropy. Both estimators are obtained by modifying the estimator proposed by Vasicek (1976). Consistency of both estimators is proved, and comparisons have been made wi...
Different notions of computational entropy have been proposed to take the role of entropy in such settings. Results in [GS91] and [WeeO4]) suggest that when time bounds are introduced, the entropy of a distribution no longer coincides with the most effective compression for that source. This...
The entropy of the maximum entropy distribution 来自 Semantic Scholar 喜欢 0 阅读量: 60 作者: H Theil 摘要: The entropy of the univariate maximum entropy (ME) distribution is expressed in terms of order statistics. In the multivariate ME distribution, the expected mutual information equals a ...
Many unique properties of complex networks result from heterogeneity. The measure and analysis of heterogeneity are important and desirable to the research of the properties and functions of complex networks. In this paper, the rank distribution is proposed as a new statistic feature of complex networ...
Complexity analysis of a given time series is executed using various measures of irregularity, the most commonly used being Approximate entropy (ApEn), Sam... RK Udhayakumar,C Karmakar,L Peng,... 被引量: 3发表: 2015年 Comparative analysis of three distribution entropy methods for chaos recogni...
Journal of the Operational Research SocietyFisk, C., Brown, G.R. (1975): A Note on the Entropy Formulation of Distribution Models. Operational Research Quarterly 26, 755-758Fisk C, Brown G R, 1975, "A note on the entropy formulation of distribution models" Operational Research Quarterly 26...
That is, a given mean-continuous Gaussian process on the unit interval is expanded into its Karhunen expansion. Along the $k$th eigenfunction axis, a partition by intervals of length $\\epsilon_k$ is made, and the entropy of the resulting discrete distribution is noted. The infimum of the...
The Brown-Kuchar mechanism is applied in the case of general relativity coupled with Schutz' model for a perfect fluid. Using the canonical formalism and manipulating the set of modified constraints one is able to recover the definition of a time-evolution operator, i.e. a physical Hamiltonian,...
While a generalizable approach, predicting bacterial fitness independent of strain, species or type of stress, would eliminate such limitations, it is unclear whether a stress-response can be universally captured. By generating a multi-stress and species RNA-Seq and experimental evolution dataset, we...