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- W3148561775 abstract "We shall disclose a relationship between the almost sure stability of weighted empirical distribution functions and sums of order statistics. First we obtain an extension of a theorem due to Csaki on the almost sure stability of the standardized uniform empirical distribution function. This result is then shown to be an essential tool to derive a characterization of the almost sure stability of the sum of k nupper order statistics from a sample of n independent observations from a distribution with positive support in the domain of attraction of a non-normal stable law, where 1≦k n≦n and k n→∞ as n→∞." @default.
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- W3148561775 date "1988-01-01" @default.
- W3148561775 modified "2023-09-24" @default.
- W3148561775 title "On the relationship between the almost sure stability of weighted empirical distributions and sums of order statistics" @default.
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