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Dr. M. A. Abd Elgawad :: Publications: |
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| Title: | Asymptotic behavior of the joint record values, with applications |
| Authors: | H.M. Barakat & M.A. Abd Elgawad |
| Year: | 2017 |
| Keywords: | Not Available |
| Journal: | Statistics & Probability Letters |
| Volume: | 124 |
| Issue: | Not Available |
| Pages: | 13–21 |
| Publisher: | ELSEVIER |
| Local/International: | International |
| Paper Link: | |
| Full paper | M. A. Abd Elgawad_Asymptotic behavior of the joint record values.pdf |
| Supplementary materials | Not Available |
| Abstract: |
The class of limit distribution functions of the joint upper record values, as well as the joint of lower record values, is fully characterized. Sufficient conditions for the weak convergence are obtained. As an application of this result, the sufficient conditions for the weak convergence of the record quasi-range, record quasi-midrange, record extremal quasi-quotient and record extremal quasi-product are obtained. Moreover, the classes of the non-degenerate limit distribution functions of these statistics are derived. |
