ON CONCOMITANTS OF GENERALIZED ORDER STATISTICS FROM GENERALIZED FGM FAMILY UNDER A GENERAL SETTING

Faculty Science Year: 2022
Type of Publication: ZU Hosted Pages:
Authors:
Metwally AlAwadi Elsayed AlAwadi
Journal: Mathematica Slovaca De Gruyter Volume:
Keywords : , CONCOMITANTS , GENERALIZED ORDER STATISTICS FROM GENERALIZED , FAMILY UNDER    
Abstract:
In this work, we study the distributional and moment properties of concomitants of dual generalized order statistics and consequently generalized order statistics. When the parameters are assumed to be pairwise di erent from Bairamov-Kotz-Becki Farlie-Gumbel-Morgenstern (BKB- FGM) family. Furthermore, an example of progressive type-II censored order statistics of BKB-FGM family under uniform distribution is obtained. Moreover, the joint distribution of dual generalized order statistics and record values of concomitants for this family are discussed. Finally, an application is given for some well-known distributions such as exponential, Pareto, and power function distributions.
    
     
 
       

Author Related Publications

  • Metwally AlAwadi Elsayed AlAwadi, "Asymptotic Properties of Multivariate Order Statistics with Random Index", .Bull. Malays. Math. Sci. Soc, 2015 More
  • Metwally AlAwadi Elsayed AlAwadi, "Sarmanov Family of Bivariate Distributions: Statistical Properties—Concomitants of Order Statistics—Information Measures", ٍSpringer, 2022 More
  • Metwally AlAwadi Elsayed AlAwadi, "Information measures in records and their concomitants arising from Sarmanov family of bivariate distributions", Elsevier, 2022 More
  • Metwally AlAwadi Elsayed AlAwadi, "Limit theorems for random maximum of independent and non-identically distributed random vectors", Statistics, 2013 More
  • Metwally AlAwadi Elsayed AlAwadi, "Asymptotic random extremal ratio and product based on generalized order statistics and its dual", Taylor & Francis, 2017 More

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