| publication name | 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 | download |
| 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.