Some inequalities for a LNQD sequence with applications

被引：6

作者：

Li, Yongming ^{[1
]}

Guo, Jianhua ^{[1
]}

Li, Naiyi ^{[2
]}

机构：

[1] Shangrao Normal Univ, Dept Math, Shangrao 334001, Peoples R China

[2] Guangdong Ocean Univ, Dept Math, Zhanjiang 524088, Guangdong, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

基金：

中国国家自然科学基金;

关键词：

LNQD sequence; characteristic function inequality; exponential inequality; moment inequality; asymptotic normality; WEIGHTED SUMS; CONVERGENCE;

D O I：

10.1186/1029-242X-2012-216

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some inequalities for a linearly negative quadrant dependent (LNQD) sequence are obtained. As their application, the asymptotic normality of the weight function estimate for a regression function is established, which extends the results of Roussas et al. (J. Multivar. Anal. 40: 162-291, 1992) and Yang (Acta. Math. Sin. Engl. Ser. 23(6): 1013-1024, 2007) for the strong mixing case to the LNQD case.

引用

页数：9

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