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Some limit theorems for ratios of order statistics from uniform random variables. (English) Zbl 1380.62220

Summary: In this paper, we study the ratios of order statistics based on samples drawn from uniform distribution and establish some limit properties such as the almost sure central limit theorem, the large deviation principle, the Marcinkiewicz-Zygmund law of large numbers and complete convergence.

MSC:

62G30 Order statistics; empirical distribution functions
60F15 Strong limit theorems

References:

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