Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples
Abstract In the present article, by utilizing some inequalities for linearly negative quadrant dependent random variables, we discuss the uniformly asymptotic normality of sample quantiles for linearly negative quadrant dependent samples under mild conditions. The rate of uniform asymptotic normalit...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1788-6 |
| _version_ | 1818391293787635712 |
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| author | Xueping Hu Rong Jiang Keming Yu Tong Zhang |
| author_facet | Xueping Hu Rong Jiang Keming Yu Tong Zhang |
| author_sort | Xueping Hu |
| collection | DOAJ |
| description | Abstract In the present article, by utilizing some inequalities for linearly negative quadrant dependent random variables, we discuss the uniformly asymptotic normality of sample quantiles for linearly negative quadrant dependent samples under mild conditions. The rate of uniform asymptotic normality is presented and the rate of convergence is near O(n−1/4logn) $O(n^{-1/4} \log n)$ when the third moment is finite, which extends and improves the corresponding results of Yang et al. (J. Inequal. Appl. 2011:83, 2011) and Liu et al. (J. Inequal. Appl. 2014:79, 2014) under negatively associated random samples in some sense. |
| first_indexed | 2024-12-14T05:11:14Z |
| format | Article |
| id | doaj.art-4c1abcfdb16a4990886f31eff47f009e |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-14T05:11:14Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-4c1abcfdb16a4990886f31eff47f009e2022-12-21T23:15:57ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-07-012018111210.1186/s13660-018-1788-6Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samplesXueping Hu0Rong Jiang1Keming Yu2Tong Zhang3School of Mathematics and Computation Science, Anqing Normal UniversityDepartment of Mathematics, Brunel UniversityDepartment of Mathematics, Brunel UniversitySchool of Mathematics and Computation Science, Anqing Normal UniversityAbstract In the present article, by utilizing some inequalities for linearly negative quadrant dependent random variables, we discuss the uniformly asymptotic normality of sample quantiles for linearly negative quadrant dependent samples under mild conditions. The rate of uniform asymptotic normality is presented and the rate of convergence is near O(n−1/4logn) $O(n^{-1/4} \log n)$ when the third moment is finite, which extends and improves the corresponding results of Yang et al. (J. Inequal. Appl. 2011:83, 2011) and Liu et al. (J. Inequal. Appl. 2014:79, 2014) under negatively associated random samples in some sense.http://link.springer.com/article/10.1186/s13660-018-1788-6Sample quantileAsymptotic normalityLinearly negative quadrant dependent sequence |
| spellingShingle | Xueping Hu Rong Jiang Keming Yu Tong Zhang Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples Journal of Inequalities and Applications Sample quantile Asymptotic normality Linearly negative quadrant dependent sequence |
| title | Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples |
| title_full | Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples |
| title_fullStr | Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples |
| title_full_unstemmed | Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples |
| title_short | Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples |
| title_sort | uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples |
| topic | Sample quantile Asymptotic normality Linearly negative quadrant dependent sequence |
| url | http://link.springer.com/article/10.1186/s13660-018-1788-6 |
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