A classification of the main probability distributions by minimizing the weighted logarithmic measure of deviation

DOI10.1007/BF00050836zbMath0712.62006OpenAlexW1965434539MaRDI QIDQ749063

Silviu Guiasu

Publication date: 1990

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00050836

zbMATH Keywords

Shannon entropyconstraints expressed by mean valuesKullback-Leibler numberprobability distributions similar to reference measuresweighted logarithmic deviation

Mathematics Subject Classification ID

Statistical aspects of information-theoretic topics (62B10) Statistical distribution theory (62E99)

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Cites Work

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• The Student distribution and the principle of maximum entropy
• Information Theory and Statistical Mechanics
• An Optimization Problem Related to the Zeta-function
• On Information and Sufficiency

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