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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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ψ-混合序列下分位数估计的强相合及其Bahadur表示
张文婷1, 李永明2
0
(1.广西师范学院数学科学学院, 广西南宁 530023;2.上饶师范学院数学系, 江西上饶 334001)
摘要:
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。
Bahadur Representation and Strong Consistency of Quantile Estimates for ψ-Mixing Random Sequences
ZHANG Wen-ting1, LI Yong-ming2
(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

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