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Lois limites fortes pour le k-ième espacement maximal. (Strong limit laws for the k-th maximal spacing). (French) Zbl 0682.60025

Summary: We give strong limiting bounds for the k-th maximal spacing generated by an iid sequence of random variables with a uniform distribution on \([0,1]^ d\).

MSC:

60F15 Strong limit theorems
60D05 Geometric probability and stochastic geometry
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