文献类型：期刊文献

英文题名：Some inequalities for a LNQD sequence with applications

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

年份：2012

卷号：2012

外文期刊名：JOURNAL OF INEQUALITIES AND APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000317841100001)、、Scopus(收录号：2-s2.0-84873349612)、WOS

基金：This research is supported by the National Natural Science Foundation of China (11061029) and the Science Foundation of Jiangxi Education Department (GJJ12604).

语种：英文

外文关键词：LNQD sequence; characteristic function inequality; exponential inequality; moment inequality; asymptotic normality

外文摘要：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.