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Contents of PMS, Vol. 30, Fasc. 2,
pages 207 - 214
 

q -ANALOGS OF ORDER STATISTICS

Wojciech Kordecki
Anna Łyczkowska-Hanćkowiak

Abstract: We introduce the notion of the q -analog of the k -th order statistics. We give a distribution and asymptotic distributions of q -analogs of the k -th order statistics and the intermediate order statistics with r → ∞ and r- k → ∞ in the projective geometry PG (r - 1,q) .

2000 AMS Mathematics Subject Classification: Primary: 60G70; Secondary: 51E20.

Keywords and phrases: Order statistics, limit theorems, q -analog, finite projective geometry.

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