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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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