A development of entropy optimization methods

Shamilov A.

WSEAS Transactions on Mathematics, cilt.5, sa.5, ss.568-575, 2006 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 5
  • Basım Tarihi: 2006
  • Dergi Adı: WSEAS Transactions on Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.568-575
  • Anahtar Kelimeler: Generalized entropy optimization principle, MaxMaxEnt, MaxMinxEnt, MinMaxEnt, MinMinxEnt, Newton's method
  • Anadolu Üniversitesi Adresli: Evet

Özet

In this study by considering entropy optimization measure on the given set of moment vector functions special functional according to each measure is defined. Via the moment vector functions giving the least and the greatest values to the mentioned functionals, Generalized Entropy Optimization Distributions are obtained. Each of this distributions is closest (or remotest) to the given a priori distribution in the corresonding measure. Mentioned process of obtaining generalized optimi zation distributions and the establishment of required relations can be formulated as a development of entropy optimization methods. Moreover, some properties of entropy optimization operators, in the other words entropy optimization distributions considered on the compact set of moment vector functions are given.