Maximizable informational entropy as measure of probabilistic uncertainty

نویسندگان

  • C. J. Ou
  • A. El Kaabouchi
  • L. Nivanen
  • F. Tsobnang
  • A. Le Méhauté
  • Qiuping A. Wang
چکیده

In this work, we consider a recently proposed entropy I (called varentropy) defined by a variational relationship ) ( dx x d dI − = β as a measure of uncertainty of random variable x. By definition, varentropy underlies a generalized virtual work principle 0 = dx leading to maximum entropy 0 ) ( = − x I d β . This paper presents an analytical investigation of this maximizable entropy for several distributions such as stretched exponential distribution, κ -exponential distribution and Cauchy distribution. PACS numbers : 05.20.-y; 02.50.-r; 02.50.Tt

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تاریخ انتشار 2017