收藏本站
《Applied Mathematics:A Journal of Chinese Universities》 2016年04期
收藏 | 投稿 | 手机打开
二维码
手机客户端打开本文

Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications

WU Yi  WANG Xue-jun  HU Shu-he  
【摘要】:In this paper, an exponential inequality for the maximal partial sums of negatively superadditive-dependent(NSD, in short) random variables is established. By using the exponential inequality, we present some general results on the complete convergence for arrays of rowwise NSD random variables, which improve or generalize the corresponding ones of Wang et al. [28]and Chen et al. [2]. In addition, some sufficient conditions to prove the complete convergence are provided. As an application of the complete convergence that we established, we further investigate the complete consistency and convergence rate of the estimator in a nonparametric regression model based on NSD errors.

免费申请
【相似文献】
中国期刊全文数据库 前10条
1 GUO MING-LE;XU CHUN-YU;ZHU DONG-JIN;;Complete Convergence of Weighted Sums for Arrays of Rowwise m-negatively Associated Random Variables[J];Communications in Mathematical Research;2014年01期
2 ;Central Limit Theorems for Asymptotically Negatively Associated Random Fields[J];Acta Mathematica Sinica(English Series);2000年04期
3 ;Convergence of Jamison-Type Weighted Sums of Pairwise Negatively Quadrant Dependent Random Variables[J];Acta Mathematicae Applicatae Sinica(English Series);2002年01期
4 ;A NONCLASSICAL LAW OF ITERATED LOGARITHM FOR NEGATIVELY ASSOCIATED RANDOM VARIABLES[J];Applied Mathematics:A Journal of Chinese Universities;2003年02期
5 胡亦钧;明瑞星;杨文权;;LARGE DEVIATIONS AND MODERATE DEVIATIONS FOR m-NEGATIVELY ASSOCIATED RANDOM VARIABLES[J];Acta Mathematica Scientia;2007年04期
6 ;Complete Convergence for Weighted Sums of Arrays of Rowwise Negatively Associated Random Variables[J];数学研究与评论;2010年01期
7 甘师信;陈平炎;;SOME LIMIT THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF NOD RANDOM VARIABLES[J];Acta Mathematica Scientia;2012年06期
8 苏淳,赵林城,王岳宝;Moment inequalities and weak convergence for negatively associated sequences[J];Science in China,Ser.A;1997年02期
9 ;Precise Large Deviations for Sums of Negatively Associated Random Variables with Common Dominatedly Varying Tails[J];Acta Mathematica Sinica(English Series);2006年06期
10 ;An invariance principle for negatively associated random variables[J];Chinese Science Bulletin;1997年05期
 快捷付款方式  订购知网充值卡  订购热线  帮助中心
  • 400-819-9993
  • 010-62791813
  • 010-62985026