Entropy Vectors and the Ingleton Inequality
Algebraic Techniques in Coding Theory: Entropy Vectors, Frames, and Constrained Coding
... the entropy region—the space of all possible vectors of joint entropies which can arise from a set of discrete random ...“group-characterizable” entropy vectors, which are capable of ...
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A reverse entropy power inequality for log concave random vectors
... 2 Main results and conjectures Suppose X is a symmetric log-concave random vector in R n . Then any projection of X on a certain direction v ∈ R n , that is the random variable hX, vi is also log- concave. Here h·, ·i ...
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Inequality, Entropy and Goodness of Fit
... Our approach – the “dual” to the statistical EDF method – uses the same ingredients as loss functions applied in other economic contexts. Its intuitive appeal is supported by the type of axiomatisation that is common in ...
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Decomposition of Gini and the generalized entropy inequality measures
... 1. Introduction This paper analyses Dagum’s (1997a, 1997b, 1998) articles about the Gini index decomposition and three particular cases of the entropy coefficient (Theil, Hirschman- Herfindahl and Bourguignon ...
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An Inequality for Logarithmic Mapping and Applications for the Relative Entropy
... mean inequality, we point out an analytic inequal- ity for the logarithmic map and apply it for the Kullback-Leibler distance in Information ...Shannon’s entropy are given as ...
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Evaluation and Extension of Maximum Entropy Models with Inequality Constraints
... the inequality ME models outperform the other methods in the evaluation set as ...the inequality ME model is generally superior to the cut-off method and the Gaussian MAP estima- ...normal inequality ...
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Decomposition of Gini and the generalized entropy inequality measures. Abstract
... generalized entropy inequality measures, a free access to their computation, an application on French wages, and a different way than Dagum to demonstrate that the Gini index is a more convenient measure ...
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A Lower Bound on the Differential Entropy of Log-Concave Random Vectors with Applications
... random vectors has good behavior under natural probabilistic operations: namely, a famous result of Prékopa [2] states that sums of independent log-concave random vectors, as well as marginals of ...
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Quantum Correlations: Entropy, Wave/Corpuscle Dualism, Bell Inequality
... the entropy, which is known to be a fundamental principle of thermodynamics; it appears here closely related to other fundamental principles of Nature like the aforesaid dual behavior of matter and the Pauli ...
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A Grüss Type Inequality for Sequences of Vectors in Normed Linear Spaces and Applications
... discrete inequality of Gr¨ uss type in normed linear spaces and applications for the discrete Fourier transform, Mellin transform of sequences, for polynomials with coefficients in normed spaces and for vector ...
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Reversing the CBS-Inequality for Sequences of Vectors in Hilbert Spaces with Applications (I)
... OF VECTORS IN HILBERT SPACES WITH APPLICATIONS (I) ...of vectors in Hilbert spaces are ...triangle inequality and for Fourier coefficients are also ...
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Reversing the CBS-Inequality for Sequences of Vectors in Hilbert Spaces with Applications (II)
... (CBS) inequality for sequences of vectors in Hilbert spaces which complement the ones obtained in part one are ...triangle inequality and for Fourier coefficients are given as ...
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Another Grüss Type Inequality for Sequences of Vectors in Normed Linear Spaces and Applications
... discrete inequality of Gr¨ uss type in normed linear sapces and applications for the Fourier transform, Mellin transform of sequences, for poly- nomials with coefficients in normed spaces and for vector valued ...
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Generalizations of Buzano inequality for n-tuples of vectors in inner product spaces with applications
... Let (H, h·, ·i) be an inner product space over the real or complex numbers field K . The following inequality is well known in literature as the Schwarz inequality kxk kyk ≥ |hx, yi| for any x, y ∈ H. (1.1) ...
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Entropy and temperature gradients thermomechanics: Dissipation, heat conduction inequality and heat equation
... is given by Nguyen and Andrieux [18] and Nguyen [19], followed by a justification through an homogenization process. It can be seen as a non-local generalized standard model as proposed by Lorentz and Andrieux [20,21]. ...
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Modified Kaptur’s Measures of Entropy and Directed Divergence on Imposition of Inequality Constraints on Probabilities
... The significant application of the new measures of entropy and directed divergence is that it has relevance in the city population distribution model, for cost change. Likewise, in the transportation model, a ...
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Estimation of Generalized Entropy and Atkinson Inequality Indices from Complex Survey Data
... of inequality being no ...of inequality indices, the Generalized Entropy and the Atkinson family of indices, using the approach of Woodruff ...
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Hájek–Rényi inequality for m asymptotically almost negatively associated random vectors in Hilbert space and applications
... random vectors taking values in a real separable Hilbert space (H, · , · ) is said to be AANA if for some orthonormal basis { e k , k ≥ 1 } in H and for any d ≥ 1, the d-dimensional sequence {(X i , e 1 , ...
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Gender Inequality under Different National Welfare Regimes : An Empirical Evaluation with Entropy Measures from Information Theory
... dATA ANd OPERATIONALI- ZATIONS In order to compare countries and types of welfare regimes, we need country specific data about regime types and gender related inequalities. Regarding the first type of information, we use ...
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Approximate Entropy and Sample Entropy: A Comprehensive Tutorial
... We can calculate ApEn following these steps. In Figure 5 we show the results for m = 2 and r = 0.2σ for sequences of ten years of data starting in 1869. It is important to remark that we are using the raw data, and ...
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