Limit theorems for ratios of order statistics from uniform distributions
| العنوان: | Limit theorems for ratios of order statistics from uniform distributions |
|---|---|
| المؤلفون: | Shou-Fang Xu, Yu Miao, Changlin Mei |
| المصدر: | Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-14 (2019) |
| بيانات النشر: | SpringerOpen, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Applied Mathematics, lcsh:Mathematics, 010102 general mathematics, Order statistic, Uniform distribution, Complete convergence, Law of large numbers, lcsh:QA1-939, 01 natural sciences, Classical limit, Order statistics, 010101 applied mathematics, Combinatorics, Large deviation principle, Discrete Mathematics and Combinatorics, Limit (mathematics), 0101 mathematics, Random variable, Rate function, Analysis, Mathematics |
| الوصف: | Let $\{X_{ni}, 1 \leq i \leq m_{n}, n\geq 1\}${Xni,1≤i≤mn,n≥1} be an array of independent random variables with uniform distribution on $[0, \theta _{n}]$[0,θn], and $\{X_{n(k)}, k=1, 2, \ldots , m_{n}\}${Xn(k),k=1,2,…,mn} be the kth order statistics of the random variables $\{X_{ni}, 1 \leq i \leq m_{n}\}${Xni,1≤i≤mn}. We study the limit properties of ratios $\{R_{nij}=X_{n(j)}/X_{n(i)}, 1\leq i < j \leq m_{n}\}${Rnij=Xn(j)/Xn(i),1≤i |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95703be038223e946e27e5e1ac66ed92 http://link.springer.com/article/10.1186/s13660-019-2256-7 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....95703be038223e946e27e5e1ac66ed92 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |