On the way towards a generalized entropy maximization procedure

WOS: 000269681400006We 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.TUBITAK (Turkish Agency)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [108T013]We are grateful to C. Tsallis for bringing Ref. [32] to our attention. This work has been supported by TUBITAK (Turkish Agency) under the Research Project number 108T013