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2017•Journal of Inequalities and ApplicationsOpen access

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

Shoufang Xu, Yu Miao

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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.

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What this paper is about

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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OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Mathematics, Central limit theorem, Limit (mathematics), Order statistic, Law of large numbers, Random variable, Convergence of random variables, Uniform limit theorem

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