Title of article
The Pólya information divergence
Author/Authors
Marian Grendar، نويسنده , , Robert K. Niven، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
6
From page
4189
To page
4194
Abstract
Extensions of Sanov’s Theorem and the Conditional Limit Theorem (CoLT) are established for a multicolor Pólya-Eggenberger (PE) urn sampling scheme, giving the Pólya information divergence and a Pólya extension to the Maximum Relative Entropy (MaxEnt) method. Pólya MaxEnt includes the standard MaxEnt, as well as its variants used in Bose–Einstein, Fermi–Dirac and intermediate (Acharya-Swamy) statistics, as special cases. In the PE setting, standard MaxEnt is, in general, asymptotically inconsistent.
Keywords
maximum probability , Fermi–Dirac statistic , Bose–Einstein statistic , Anyons , Boltzmann-P?lya Inverse problem , Kullback–Leibler divergence , Shannon–Jensen divergence , Conditional law of large numbers , P?lya urn model , Maximum Entropy , Sanov’s Theorem
Journal title
Information Sciences
Serial Year
2010
Journal title
Information Sciences
Record number
1214110
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