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$$q$$-analogs of order statistics. (English) Zbl 1218.60040
Summary: 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 $$r \rightarrow \infty$$ and $$r- k \rightarrow \infty$$ in the projective geometry $$PG (r - 1,q)$$.
MSC:
 60G70 Extreme value theory; extremal stochastic processes 51E20 Combinatorial structures in finite projective spaces
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