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Empirical distribution functions and functions of order statistics for mixing random variables |
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| Authors: | Madan L. Puri Lanh T. Tran |
| Affiliation: | Indiana University, Bloomington, Indiana 47401 USA |
| Abstract: | Some fundamental properties of the empirical distribution functions are derived in the case of mixing random variables. These properties are then utilized to study asymptotic normality and strong laws of large numbers for functions of order statistics. |
| Keywords: | 60F05 60F15 62G30 empirical distribution function order statistics mixing strong laws of large numbers |
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