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Some limit theorems for ratios of order statistics from uniform random variables

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.

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Bibliographische Detailangaben
Veröffentlicht in:J Inequal Appl
Hauptverfasser: Xu, Shou-Fang, Miao, Yu
Format: Artigo
Sprache:Inglês
Veröffentlicht: Springer International Publishing 2017
Schlagworte:
Online Zugang:https://ncbi.nlm.nih.gov/pmc/articles/PMC5705782/
https://ncbi.nlm.nih.gov/pubmed/29213200
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1186/s13660-017-1569-7
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