Title of article :
The Pólya information divergence
Author/Authors :
Marian Grendar، نويسنده , , Robert K. Niven، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
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
Journal title :
Information Sciences
