Various limit theorems for ratios from the uniform distribution

Author:

Miao Yu1,Sun Yan2,Wang Rujun1,Dong Manru1

Affiliation:

1. 1College of Mathematics and Information Science, Henan Normal University, Henan Province, 453007, China

2. 2Science College, Beijing Information Science and Technology University, Beijing, 100192, China

Abstract

AbstractIn this paper, we consider the ratios of order statistics in samples from uniform distribution and establish strong and weak laws for these ratios.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference4 articles.

1. Laws of large numbers for ratios of uniform random variables Open Math AdlerALaws of large numbers for ratios of uniform random variablesOpen;Adler;Math

2. On a property of order statistics from a rectangular distribution MalmquistSOn a property of order statistics from a rectangular distributionSkand;Malmquist;Aktuarietidskr

3. Strong laws for ratios of order statistics from exponentials AdlerAStrong laws for ratios of order statistics from exponentialsBull;Adler;Inst Math Acad Sin Inst Math Acad Sin,2015

4. Limit theorems for order statistics from exponentials JAdlerALimit theorems for order statistics from exponentialsStatist;Miao;Statist Probab Lett,2016

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