Gibbs conditioning extended, Boltzmann conditioning introduced

Details Gibbs conditioning extended, Boltzmann conditioning introduced Gibbs conditioning extended, Boltzmann conditioning introduced

2004-07-07

arxiv.org/abs/math-ph/0407009v4

Physics

Mathematical Physics

Three major changes: 1) Definition of proper I-projection has been changed. 2) An argument preceding Eq. (7) at the proof of I

Scientific paper

10.1063/1.1835245

Conditional Equi-concentration of Types on I-projections (ICET) and Extended Gibbs Conditioning Principle (EGCP) provide an extension of Conditioned Weak Law of Large Numbers and of Gibbs Conditioning Principle to the case of non-unique Relative Entropy Maximizing (REM) distribution (aka I-projection). ICET and EGCP give a probabilistic justification to REM under rather general conditions. mu-projection variants of the results are introduced. They provide a probabilistic justification to Maximum Probability (MaxProb) method. 'REM/MaxEnt or MaxProb?' question is discussed, briefly. Jeffreys Conditioning Principle is mentioned.

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