A maximum entropy characterization of symmetric Kotz type and Burr multivariate distributions

Test ◽  
2004 ◽  
Vol 13 (1) ◽  
pp. 65-83 ◽  
Author(s):  
G. Aulogiaris ◽  
K. Zografos
Keyword(s):  
Maximum Entropy ◽  
Multivariate Distributions

A characterization of continuous multivariate distributions by conditional expectations

1993 ◽  
Vol 37 (1) ◽  
pp. 13-21 ◽  
Author(s):  
J.M. Ruiz ◽  
J. Marín ◽  
P. Zoroa
Keyword(s):  
Multivariate Distributions ◽  
Conditional Expectations

A Lemma on Random Determinants and its Application to the Characterization of Multivariate Distributions

1965 ◽  
Vol 10 (4) ◽  
pp. 685-689 ◽  
Author(s):  
Ts. G. Khakhubiya
Keyword(s):  
Multivariate Distributions

scholarly journals On maximum-entropy and related principles in statistical equilibrium

1990 ◽  
Vol 13 (2) ◽  
pp. 357-361
Author(s):  
C. G. Chakrabarti ◽  
V. Mukhopadhyay
Keyword(s):  
Maximum Entropy ◽  
Closed System ◽  
Thermal Equilibrium ◽  
Statistical Equilibrium ◽  
Statistical Characterization

The paper aims to study the importance and equivalence of the principles of maximum-entropy, and sufficient and stable inferences in the statistical characterization of the thermal equilibrium of a closed system.

scholarly journals Cytometric fingerprinting: Quantitative characterization of multivariate distributions

2008 ◽  
Vol 73A (5) ◽  
pp. 430-441 ◽  
Author(s):  
Wade T. Rogers ◽  
Allan R. Moser ◽  
Herbert A. Holyst ◽  
Andrew Bantly ◽  
Emile R. Mohler ◽  
...  
Keyword(s):  
Multivariate Distributions ◽  
Quantitative Characterization

scholarly journals A characterization of maximum entropy spatially correlated wireless channel models

2008 ◽  
Author(s):  
Maxime Guillaud ◽  
Merouane Debbah ◽  
Aris L. Moustakas
Keyword(s):  
Maximum Entropy ◽  
Wireless Channel ◽  
Channel Models ◽  
Spatially Correlated ◽  
Wireless Channel Models

scholarly journals Topological properties of hydrogen bonds and covalent bonds from charge densities obtained by the maximum entropy method (MEM)

2009 ◽  
Vol 65 (5) ◽  
pp. 624-638 ◽  
Author(s):  
Jeanette Netzel ◽  
Sander van Smaalen
Keyword(s):  
Hydrogen Bonds ◽  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Dynamic Deformation ◽  
Entropy Method ◽  
Topological Properties ◽  
Covalent Bonds ◽  
Charge Densities

Charge densities have been determined by the Maximum Entropy Method (MEM) from the high-resolution, low-temperature (T ≃ 20 K) X-ray diffraction data of six different crystals of amino acids and peptides. A comparison of dynamic deformation densities of the MEM with static and dynamic deformation densities of multipole models shows that the MEM may lead to a better description of the electron density in hydrogen bonds in cases where the multipole model has been restricted to isotropic displacement parameters and low-order multipoles (l max = 1) for the H atoms. Topological properties at bond critical points (BCPs) are found to depend systematically on the bond length, but with different functions for covalent C—C, C—N and C—O bonds, and for hydrogen bonds together with covalent C—H and N—H bonds. Similar dependencies are known for AIM properties derived from static multipole densities. The ratio of potential and kinetic energy densities |V(BCP)|/G(BCP) is successfully used for a classification of hydrogen bonds according to their distance d(H...O) between the H atom and the acceptor atom. The classification based on MEM densities coincides with the usual classification of hydrogen bonds as strong, intermediate and weak [Jeffrey (1997). An Introduction to Hydrogen Bonding. Oxford University Press]. MEM and procrystal densities lead to similar values of the densities at the BCPs of hydrogen bonds, but differences are shown to prevail, such that it is found that only the true charge density, represented by MEM densities, the multipole model or some other method can lead to the correct characterization of chemical bonding. Our results do not confirm suggestions in the literature that the promolecule density might be sufficient for a characterization of hydrogen bonds.

Maximum entropy approach to characterization of random media

2006 ◽  
Author(s):  
E. V. Vakarin ◽  
J. P. Badiali
Keyword(s):  
Maximum Entropy ◽  
Random Media
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