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Asymptotic behavior of the records of multivariate random sequences in a norm sense

  • Haroon M. Barakat EMAIL logo and M. H. Harpy
Published/Copyright: December 10, 2020
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 70 Issue 6

Abstract

In this paper, we investigate the asymptotic behavior of the multivariate record values by using the Reduced Ordering Principle (R-ordering). Necessary and sufficient conditions for weak convergence of the multivariate record values based on sup-norm are determined. Some illustrative examples are given.

MSC 2010: Primary 62G30; 62E20; Secondary 62H10
Keywords: weak convergence; record value; Reduced Ordering Principle; sup-norm

  1. (Communicated by Gejza Wimmer)

Acknowledgement

The authors are very grateful to the anonymous referees for their insightful review and constructive suggestions that enabled the authors to improve the paper significantly.

References

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Received: 2019-09-30
Accepted: 2020-01-30
Published Online: 2020-12-10
Published in Print: 2020-12-16

© 2020 Mathematical Institute Slovak Academy of Sciences

Articles in the same Issue

  1. Regular papers
  2. Fuzzy deductive systems of RM algebras
  3. Congruence pairs of principal MS-algebras and perfect extensions
  4. The lattices of 𝔏-fuzzy state filters in state residuated lattices
  5. Central lifting property for orthomodular lattices
  6. EQ-Modules
  7. On the exponential Diophantine equation Pxn + Pxn+1 + ⋯ + Pxn+k-1 = Pm
  8. Remarks on some generalization of the notion of microscopic sets
  9. Disjointness of composition operators on Hv0 spaces
  10. A common fixed point theorem for non-self mappings in strictly convex menger PM-spaces
  11. The Poincaré-Cartan forms of one-dimensional variational integrals
  12. Coarse cohomology with twisted coefficients
  13. Divisible extension of probability
  14. Asymptotic behavior of the records of multivariate random sequences in a norm sense
  15. Strong convergence of the functional nonparametric relative error regression estimator under right censoring
  16. A new kumaraswamy generalized family of distributions: Properties and applications
  17. Efficient message transmission via twisted Edwards curves
  18. Computation of several Hessenberg determinants
https://doi.org/10.1515/ms-2017-0442
Keywords for this article
weak convergence; record value; Reduced Ordering Principle; sup-norm

Articles in the same Issue

  1. Regular papers
  2. Fuzzy deductive systems of RM algebras
  3. Congruence pairs of principal MS-algebras and perfect extensions
  4. The lattices of 𝔏-fuzzy state filters in state residuated lattices
  5. Central lifting property for orthomodular lattices
  6. EQ-Modules
  7. On the exponential Diophantine equation Pxn + Pxn+1 + ⋯ + Pxn+k-1 = Pm
  8. Remarks on some generalization of the notion of microscopic sets
  9. Disjointness of composition operators on Hv0 spaces
  10. A common fixed point theorem for non-self mappings in strictly convex menger PM-spaces
  11. The Poincaré-Cartan forms of one-dimensional variational integrals
  12. Coarse cohomology with twisted coefficients
  13. Divisible extension of probability
  14. Asymptotic behavior of the records of multivariate random sequences in a norm sense
  15. Strong convergence of the functional nonparametric relative error regression estimator under right censoring
  16. A new kumaraswamy generalized family of distributions: Properties and applications
  17. Efficient message transmission via twisted Edwards curves
  18. Computation of several Hessenberg determinants
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