Probability distribution and entropy as a measure of uncertainty

Abstract

The relationship between three probability distributions and their maximizable entropy forms is discussed without postulating entropy property. For this purpose, the entropy I is defined as a measure of uncertainty of the probability distribution of a random variable x by a variational relationship, a definition underlying the maximization of entropy for corresponding distribution.

11 pages. To be published in J. Physics A : Math. Theor. (2008)

References in corpus (2)

• Power laws, Pareto distributions and Zipf's law
• A possible deformed algebra and calculus inspired in nonextensive thermostatistics

Cited by in corpus (8)

• Quantum Machine Learning for Chemistry and Physics
• Nonlinear statistical coupling
• Maximizable informational entropy as measure of probabilistic uncertainty
• A definition of the coupled-product for multivariate coupled-exponentials
• Possible canonical distributions for finite systems with nonadditive energy
• Stochastic-Geometry Based Characterization of Aggregate Interference in TVWS Cognitive Radio Networks
• A link between the maximum entropy approach and the variational entropy form
• A counterexample against the Lesche stability of a generic entropy functional