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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.
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer International Publishing
2017
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5705782/ https://www.ncbi.nlm.nih.gov/pubmed/29213200 http://dx.doi.org/10.1186/s13660-017-1569-7 |
| _version_ | 1783282094391164928 |
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| author | Xu, Shou-Fang Miao, Yu |
| author_facet | Xu, Shou-Fang Miao, Yu |
| author_sort | Xu, Shou-Fang |
| collection | PubMed |
| description | 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. |
| format | Online Article Text |
| id | pubmed-5705782 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2017 |
| publisher | Springer International Publishing |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-57057822017-12-04 Some limit theorems for ratios of order statistics from uniform random variables Xu, Shou-Fang Miao, Yu J Inequal Appl Research 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. Springer International Publishing 2017-11-28 2017 /pmc/articles/PMC5705782/ /pubmed/29213200 http://dx.doi.org/10.1186/s13660-017-1569-7 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| spellingShingle | Research Xu, Shou-Fang Miao, Yu Some limit theorems for ratios of order statistics from uniform random variables |
| title | Some limit theorems for ratios of order statistics from uniform random variables |
| title_full | Some limit theorems for ratios of order statistics from uniform random variables |
| title_fullStr | Some limit theorems for ratios of order statistics from uniform random variables |
| title_full_unstemmed | Some limit theorems for ratios of order statistics from uniform random variables |
| title_short | Some limit theorems for ratios of order statistics from uniform random variables |
| title_sort | some limit theorems for ratios of order statistics from uniform random variables |
| topic | Research |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5705782/ https://www.ncbi.nlm.nih.gov/pubmed/29213200 http://dx.doi.org/10.1186/s13660-017-1569-7 |
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