q-analogs of order statistics

Abstrakt

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.