Asymptotic behavior of the maximum of multivariate order statistics in a norm sense

Faculty Science Year: 2020
Type of Publication: ZU Hosted Pages:
Authors:
Haroun Mohammed Abdel-Fattah Barakat
Journal: Brazilian Journal of Probability and Statistics Brazilian Statistical Association Volume:
Keywords : Asymptotic behavior , , maximum , multivariate order statistics , , norm    
Abstract:
In this work, we investigate the asymptotic behavior of the extremes of a multivariate data by using the Reduced Ordering Principle (Rordering). When, the sup-norm is used, we reveal the interrelation between the R-ordering principle and Marginal Ordering Principle (M-ordering). The asymptotic behavior of the maximum sup-norms corresponding to the bivariate data is completely determined. Finally, an application to real data illustrates and corroborates the theoretical results.
    
     
 
       

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

  • Heba Ibrahim Mustafa, "On lower and upper intension order relations by different cover concepts", Elsevier, 2011 More
  • Nagla Ameen Mohamed Hssan, "On the Reliability of Multi-State m-consecutive-at least-k-out-of-n: F Systems", Foundation of Computer Science (FCS), New York, USA, 2013 More
  • Elsayed Ibrahim Abdelgalil Mahmoud, "Normal Jacobi field on Riemannian manifold", SCIK Publishing Corporation, 2013 More
  • Alaa Hassan Attia Hassan, "Harmonic Univalent Functions with Varying Arguments Defined by Using Salagean Integral Operator", University of Alba Iulia, Romania, 2013 More
  • Yasser AbdelAziz Amer Tolba, "blind signal separation using adaptive generalized Gamma distribution", امريكا, 2013 More
Tweet