Sarmanov Family of Bivariate Distributions: Statistical Properties—Concomitants of Order Statistics—Information Measures

Faculty Science Year: 2022
Type of Publication: ZU Hosted Pages: 49–83
Authors:
Journal: Bulletin of the Malaysian Mathematical Sciences Society Springer Nature Volume: 45
Keywords : Sarmanov Family , Bivariate Distributions: Statistical Properties—Concomitants    
Abstract:
Sarmanov family of bivariate distributions, which was suggested by Sarmanov (Mathematical models in hydrology symposium, 1974) as a new mathematical model of hydrological processes, is considered one of the most flexible and efficient extended families of the traditional FGM family. Despite its manifest advantages, it was never investigated in the literature. In this paper, we revisit this family by revealing several new prominent statistical properties. The distribution theory of concomitants of order statistics from this family is investigated. Besides, some aspects of information measures, namely the Shannon entropy, inaccuracy measure, and Fisher information number, are theoretically and numerically studied. Two bivariate real-world data sets have been analyzed for illustrative purposes, and the performance is quite satisfactory.
   
     
 
       

Author Related Publications

    Department Related Publications

    • Mohamed El Sayed Ahmed Muhamed, "a novel algorithm for source localization based on nonnegative matrix factroization using \alpha 'beta divergence in chochleagram", WSEAS, 2013 More
    • Wael Mohamed Khadr Salim, "a novel algorithm for source localization based on nonnegative matrix factroization using \alpha 'beta divergence in chochleagram", WSEAS, 2013 More
    • Rodyna Ahmed Mahmoud, "Some methods for generating proximities by relations", .ijser, 2013 More
    • Heba Ibrahim Mustafa, "Soft proximity", World's Pioneer Iceland, 2013 More
    • Heba Ibrahim Mustafa, "On Interval-Valued Supra-Fuzzy Syntopogenous Structure", Hindawi Publishing Corporation, 2012 More
    Tweet