来自均匀随机变量的顺序统计量之比的一些极限定理。
Some limit theorems for ratios of order statistics from uniform random variables.
作者信息
Xu Shou-Fang, Miao Yu
机构信息
Department of Statistics, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, P.R. China.
College of Mathematics and Information Science, Xinxiang University, Xinxiang, P.R. China.
出版信息
J Inequal Appl. 2017;2017(1):295. doi: 10.1186/s13660-017-1569-7. Epub 2017 Nov 28.
Abstract
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.
摘要
在本文中，我们研究基于从均匀分布抽取的样本的顺序统计量的比率，并建立一些极限性质，如几乎处处中心极限定理、大偏差原理、马尔钦凯维奇-齐格蒙德大数定律和完全收敛性。
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本文引用的文献
1
Limit properties for ratios of order statistics from exponentials.指数分布顺序统计量比值的极限性质。
J Inequal Appl. 2017;2017(1):11. doi: 10.1186/s13660-016-1287-6. Epub 2017 Jan 6.
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