Conditional Equi-concentration of Types

Mathematics – Probability

Scientific paper

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Scientific paper

Conditional Equi-concentration of Types on I-projections is presented. It provides an extension of Conditional Weak Law of Large Numbers to the case of several I-projections. Also a multiple I-projections extension of Gibbs Conditioning Principle is developed. mu-projection variants of the probabilistic laws are stated. Implications of the results for Relative Entropy Maximization, Maximum Probability, Maximum Entropy in the Mean and Maximum Renyi-Tsallis Entropy methods are discussed.

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