Further properties of Tsallis extropy and some of its related measures

Faculty Science Year: 2023
Type of Publication: ZU Hosted Pages:
Authors:
Journal: Mathematics AIMS Volume:
Keywords : Further properties , Tsallis extropy , some , , related    
Abstract:
This article introduces the concept of residual and past Tsallis extropy as a continuous information measure within the context of continuous distribution. Moreover, the characteristics and their relationships with other models are evaluated. Several stochastic comparisons are provided, along with outcomes concerning order statistics. Additionally, the models acquired include instances such as uniform and power function distributions. The measure incorporates its monotonic traits, and the outcomes defining its characteristics are presented. On the other hand, a di erent portrayal of the Tsallis extropy is introduced, expressed in relation to the hazard rate function. The Tsallis extropy of the lifetime for both mixed and coherent systems is explored. In the case of mixed systems, components’ lifetimes are considered independent and identically distributed. Additionally, constraints on the Tsallis extropy of these systems are established, along with a clarification of their practical applicability. Non-parametric estimation using an alternative form of Tsallis function extropy for simulated and real data is performed.
   
     
 
       

Author Related Publications

  • Haroun Mohammed Abdel-Fattah Barakat, "Random translation, dilation and contraction of order statistics", El-Sevier, 2014 More
  • Haroun Mohammed Abdel-Fattah Barakat, "Limit theory for bivariate extreme generalized order statistics and dual generalized order statistics", ALEA publisher, 2014 More
  • Haroun Mohammed Abdel-Fattah Barakat, "Asymptotic distributions of order statistics and record values arising from the class of beta-generated distributions", Taylor &Francis, 2014 More
  • Haroun Mohammed Abdel-Fattah Barakat, "LIMIT THEORY FOR JOINT GENERALIZED ORDER STATISTICS", Taylor &Francis, 2014 More
  • Haroun Mohammed Abdel-Fattah Barakat, "Statistical Modeling of Extreme Values with Applications to Air Pollution", Science Puplications publisher, 2012 More

Department Related Publications

  • Rodyna Ahmed Mahmoud, "Pre-Open Sets with Ideal", Scientific Research Platform (SRP), 2013 More
  • Rodyna Ahmed Mahmoud, "ON BCL-ALGEBRA", Council for Innovative Research, 2013 More
  • Yasser AbdelAziz Amer Tolba, "The improved (G’/G) - expansion method for constructing exact traveling wave solutions for a nonlinear PDE of nanobiosciences", USA, 2013 More
  • Alaa Hassan Attia Hassan, "A Unified Representation of Some Starlike and Convex Harmonic Functions with Negative Coefficients", AGH University of Science and Technology Press, Krakow 2013, Poland, 2013 More
  • Alaa Hassan Attia Hassan, "Generalizations of Hadamard Procuct of Certain Meromorphic Multivalent Functions with Positive Coefficients", Istanbul Universitesi, Turkey, 2013 More
Tweet