Fisher Information, Asymptotic Behavior, and Applications for Generalized Order Statistics and Their Concomitants Based on the Sarmanov Family

Faculty Science Year: 2023
Type of Publication: ZU Hosted Pages:
Authors:
Islam Abdallah Heusseiny Metwally
Journal: axioms MDPI Volume:
Keywords : Fisher Information, Asymptotic Behavior, , Applications for Generalized    
Abstract:
In this paper, the Fisher information (FI), relevant to m-generalized order statistics (m-GOSs) and their concomitants of the shape-parameter of the Sarmanov family of bivariate distributions, is investigated. In addition, we study the concomitants of m-GOSs from this family. Furthermore, we look at how those concomitants were distributed collectively. The FI contained in the scale and shape parameters of the exponential and power function distributions, respectively, in concomitants of m-GOSs is obtained. A study of the asymptotic behavior of the concomitants of ordinary order statistics is also provided. Some versatile applications for this study are offered. As a final step, we examined a bivariate real-world data set for illustrative purposes.
    
     
 
       

Author Related Publications

  • Islam Abdallah Heusseiny Metwally, "Information measures in records and their concomitants arising from Sarmanov family of bivariate distributions", Elsevier, 2022 More
  • Islam Abdallah Heusseiny Metwally, "Concomitants of Order Statistics and Record Values from Generalization of FGM Bivariate-Generalized Exponential Distribution", ATLANTIS PRESS, 2019 More
  • Islam Abdallah Heusseiny Metwally, "CONCOMITANTS OF ORDER STATISTICS AND RECORD VALUES FROM ITERATED FGM TYPE BIVARIATE-GENERALIZED EXPONENTIAL DIS- TRIBUTION", INSTITUTO NACIONAL DE ESTATISTICA, 2019 More
  • Islam Abdallah Heusseiny Metwally, "Sarmanov Family of Bivariate Distributions: Statistical Properties—Concomitants of Order Statistics—Information Measures", Springer Nature, 2022 More
  • Islam Abdallah Heusseiny Metwally, "Sarmanov bivariate distribution: dependence structure—Fisher information in order statistics and their concomitants", Springer Nature, 2022 More

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