On the way towards a generalized entropy maximization procedure


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Bagci G. B. , Tirnakli U.

PHYSICS LETTERS A, cilt.373, ss.3230-3234, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 373 Konu: 36
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.physleta.2009.07.014
  • Dergi Adı: PHYSICS LETTERS A
  • Sayfa Sayısı: ss.3230-3234

Özet

We propose a generalized entropy maximization procedure, which takes into account the generalized averaging procedures and information gain definitions underlying the generalized entropies. This novel generalized procedure is then applied to Renyi and Tsallis entropies. The generalized entropy maximization procedure for Renyi entropies results in the exponential stationary distribution asymptotically for q is an element of (0, 1] in contrast to the stationary distribution of the inverse power law obtained through the ordinary entropy maximization procedure. Another result of the generalized entropy maximization procedure is that one can naturally obtain all the possible stationary distributions associated with the Tsallis entropies by employing either ordinary or q-generalized Fourier transforms in the averaging procedure. (C) 2009 Elsevier B.V. All rights reserved.