ISSN:
1432-2064
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary 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 Csáki 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→∞.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00319104
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