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Maximal Moment Inequality for Partial Sums of Strong Mixing Sequences and Application

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文摘 Some maximal moment inequalities for partial sums of the strong mixing random variable sequence are established. These inequalities use moment sums as up-boundary and improve the corresponding ones obtained by Shao (1996). To show the application of the inequalities, we apply them to discuss the asymptotic normality of the weight function estimate for the fixed design regression model.
来源 Acta Mathematica Sinica. English Series ,2007,23(6):1013-1024 【核心库】
DOI 10.1007/s10114-005-0841-9
关键词 strong mixing ; maximal moment inequality ; fixed design regression model ; weight function estimate ; asymptotic normality
地址

Department of Mathematics, Guangxi Normal University, Guilin, 541004

语种 英文
ISSN 1439-8516
学科 数学
基金 国家自然科学基金 ;  广西自然科学基金
文献收藏号 CSCD:3144427

参考文献 共 31 共2页

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