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.
(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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