Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Vasile Preda"'
Publikováno v:
Mathematics, Vol 12, Iss 7, p 1046 (2024)
Because of its flexibility and multiple meanings, the concept of information entropy in its continuous or discrete form has proven to be very relevant in numerous scientific branches. For example, it is used as a measure of disorder in thermodynamics
Externí odkaz:
https://doaj.org/article/6c3244891a254e78b02a49882806dbb3
Autor:
Răzvan-Cornel Sfetcu, Vasile Preda
Publikováno v:
Mathematics, Vol 12, Iss 3, p 417 (2024)
With the help of Tsallis residual entropy, we introduce Tsallis quantile entropy order between two random variables. We give necessary and sufficient conditions, study closure and reversed closure properties under parallel and series operations and s
Externí odkaz:
https://doaj.org/article/bc7613fd4367499a84e7c9661c5739df
Publikováno v:
Mathematics, Vol 11, Iss 18, p 3934 (2023)
By replacing the internal energy with the free energy, as coordinates in a “space of observables”, we slightly modify (the known three) non-holonomic geometrizations from Udriste’s et al. work. The coefficients of the curvature tensor field, of
Externí odkaz:
https://doaj.org/article/8b3b184a3dec4619b66330487d76b246
Autor:
Răzvan-Cornel Sfetcu, Vasile Preda
Publikováno v:
Mathematics, Vol 11, Iss 16, p 3500 (2023)
The notion of entropy (including macro state entropy and information entropy) is used, among others, to define the fractal dimension. Rényi entropy constitutes the basis for the generalized correlation dimension of multifractals. A motivation for th
Externí odkaz:
https://doaj.org/article/82323c2d83b44a2f92bdf378d6388c92
Autor:
Vasile Preda, Răzvan-Cornel Sfetcu
Publikováno v:
Fractal and Fractional, Vol 7, Iss 5, p 375 (2023)
We introduce fractal Tsallis entropy and show that it satisfies Shannon–Khinchin axioms. Analogously to Tsallis divergence (or Tsallis relative entropy, according to some authors), fractal Tsallis divergence is defined and some properties of it are
Externí odkaz:
https://doaj.org/article/081ce2a2824d4aa2bd4c3d8c47212617
Publikováno v:
AIMS Mathematics, Vol 5, Iss 1, Pp 300-310 (2020)
A minimal entropy martingale measure problem is studied to investigate risk-neutral densities and interest rate modelling. Hunt & Devolder focused on the method of Shannon minimal entropy martingale measure to select the best measure among all the eq
Externí odkaz:
https://doaj.org/article/3d8875c527ef45dda011169ecab3cc4f
Autor:
Luigi-Ionut Catana, Vasile Preda
Publikováno v:
Mathematics, Vol 11, Iss 1, p 102 (2022)
In this article, we introduce and study a new stochastic order of multivariate distributions, namely, the conditional likelihood ratio order. The proposed order and other stochastic orders are analyzed in the case of a bivariate exponential distribut
Externí odkaz:
https://doaj.org/article/64e576ed75174d4290ff09c86cfa4891
Publikováno v:
Entropy, Vol 24, Iss 11, p 1654 (2022)
The aim of this paper consists in developing an entropy-based approach to risk assessment for actuarial models involving truncated and censored random variables by using the Tsallis entropy measure. The effect of some partial insurance models, such a
Externí odkaz:
https://doaj.org/article/896f9852683742228be78c71bc73214f
Publikováno v:
Mathematics, Vol 10, Iss 22, p 4311 (2022)
The paper defines and studies new semi-Riemannian generalized Fisher metrics and Fisher-like metrics, associated with entropies and divergences. Examples of seven such families are provided, based on exponential PDFs. The particular case when the bas
Externí odkaz:
https://doaj.org/article/42157524cdf14a5a8c81a62f243f339e
Publikováno v:
Entropy, Vol 24, Iss 11, p 1616 (2022)
We are concerned with the weighted Tsallis and Kaniadakis divergences between two measures. More precisely, we find inequalities between these divergences and Tsallis and Kaniadakis logarithms, prove that they are limited by similar bounds with those
Externí odkaz:
https://doaj.org/article/8a29b76ac99d43b89b446fae5c31b05e