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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 25, Fasc. 2,
pages 317 - 329
 

A NOTE ON THE ALMOST SURE CONVERGENCE OF CENTRAL ORDER STATISTICS

Siegfried Hörmann

Abstract: We prove almost sure versions of distributional limit theorems for central order statistics. We develop a new method which not only gives a simplified proof of existing results in the literature, but also extends them for general summation methods, leading to considerably sharper results.

2000 AMS Mathematics Subject Classification: 60F05, 60F15, 40G99.

Key words and phrases: Central order statistics, almost sure limit theorem, summation methods.

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