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Limit theory of bivariate dual generalized order statistics with random index |
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| Authors: | M A Abd Elgawad H M Barakat Hong Qin Ting Yan |
| Institution: | 1. School of Mathematics and Statistics, Central China Normal University, Wuhan, People's Republic of China;2. Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt;3. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt |
| Abstract: | The class of limit distribution functions of bivariate extreme, intermediate and central dual generalized order statistics from independent and identically distributed random variables with random sample size is fully characterized. Two cases are considered. The first case is when the random sample size is assumed to be independent of all basic random variables. The second case is when the interrelation of the random size and the basic random variables is not restricted. |
| Keywords: | Weak convergence sample of random size bivariate dual generalized order statistics |