引用本文: |
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张文婷,李永明.ψ-混合序列下分位数估计的强相合及其Bahadur表示[J].广西科学,2014,21(2):192-195. [点击复制]
- ZHANG Wen-ting,LI Yong-ming.Bahadur Representation and Strong Consistency of Quantile Estimates for ψ-Mixing Random Sequences[J].Guangxi Sciences,2014,21(2):192-195. [点击复制]
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摘要: |
在ψ-混合序列下,利用指数不等式证明分位数估计的强相合性,并给出其Bahadur表示. |
关键词: ψ-混合序列 分位数估计 Bahadur表示 |
DOI: |
投稿时间:2013-04-30修订日期:2013-09-20 |
基金项目:国家自然科学基金项目(10161004),江西省教育厅科技项目(GJJ12604)资助。 |
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Bahadur Representation and Strong Consistency of Quantile Estimates for ψ-Mixing Random Sequences |
ZHANG Wen-ting1, LI Yong-ming2
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(1.Department of Mathematical Science, Guangxi Teachears Education University, Nanning, Guangxi, 530023, China;2.Department of Mathematics, Shangrao Normal University, Shangrao, Jiangxi, 334001, China) |
Abstract: |
Under ψ-mixing random variables, the strong consistency of the quantile estimates was proved by using the exponential inequality, and its Bahadur representation was given. |
Key words: ψ-mixing sequence quantile estimates Bahadur representation |