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Dr. M. A. Abd Elgawad :: Publications: |
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| Title: | Limit Theory for Bivariate Central and Bivariate Intermediate Dual Generalized order Statistics |
| Authors: | H.M. Barakat , E.M. Nigm and M.A. Abd Elgawad |
| Year: | 2015 |
| Keywords: | Dual generalized order statistics, dual generalized central order statistics, dual generalized intermediate order statistics. |
| Journal: | PROBABILITY AND MATHEMATICAL STATISTICS |
| Volume: | Vol. 35, Fasc. 2 (2015), pp. 267–284 |
| Issue: | Not Available |
| Pages: | 267-284 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Mohamed Abd Elgawad Ahmed _abdelgawad paper.pdf |
| Supplementary materials | Not Available |
| Abstract: |
Abstract. Burkschat et al. (2003) have introduced the concept of dual generalized order statistics (dgos) to unify several models that produce descendingly ordered random variables (rv’s) like reversed order statistics, lower k-records and lower Pfeifer records. In this paper we derive the limit distribution functions (df’s) of bivariate central and bivariate intermediate m-dgos. It is revealed that the convergence of the marginals of the m-dgos implies the convergence of the joint df. Moreover, we derive the conditions under which the asymptotic independence between the two marginals occurs. |
