期刊文献+

NA样本非参数回归权函数估计的强相合性 被引量:1

Strong Consistency of the Nonparametric Regression Weighted Function Estimator for Negatively Associated Samples
下载PDF
导出
摘要 在 NA样本下 ,讨论了非参数回归模型中权函数估计的强相合性及强一致相合性 ,并把这个结果应用于 Gasser- Muller估计和 Priestley and Chao估计 . In this paper, we discuss the strong consistency of the nonparametric regression weighted function estimator for negatively associated samples. The applicability of the results obtained is demonstrated by way of two existing estimates, the Gasser-Muller estimates and that of Priestley-Chao.
出处 《数学研究》 CSCD 2004年第2期200-210,共11页 Journal of Mathematical Study
基金 国家自然科学基金项目 (10 16 10 0 4 ) 广西自然科学基金项目 (0 0 0 70 14 )
关键词 NA相协样本 非参数回归 权函数估计 强相合性 negative association sample nonparametric regression weighted function estimator strong consistency
  • 相关文献

参考文献8

  • 1Georgiev A A. Consistent nonparametric multiple regression: the fixed design case. J. Multivariate Anal, 1988, 25:100-110.
  • 2Priestly M B, Chao M T. Nonparemetric function fitting. J. Roy. Statist. Soc. Ser.B, 1972, 34:385-392.
  • 3Clark R M. Nonparametric estimation of a smooth regression function. J. Roy. Statist. Soc. Ser.B, 1997, 39:107-113.
  • 4Roussas G G, Tran L T, Ioannides D A. Fixed design regression for time series: asymptotic normality. J. Multivariate Anal, 1992, 40:162-291.
  • 5Yang Shanchao. Uniformly asymptotic normality of the regression weighted estimator for negatively association samples. (to appear in Statist. Prob. Lett.) 2002.
  • 6Fan Y. Consistent nonparametric multiple regression for dependent heterogeneous processes: the fix design case. J, Multivariate Anal, 1990, 33:72-88.
  • 7胡舒合,梅门昌.弱误差结构下非参数、半参数回归模型[J].数学物理学报(A辑),1996,16(1):23-30. 被引量:6
  • 8杨善朝,王岳宝.NA样本回归函数估计的强相合性[J].应用数学学报,1999,22(4):522-530. 被引量:51

二级参考文献10

共引文献55

同被引文献8

  • 1ROUSSAS G G,TRANAND L T,IOANNIDES D A. Fixed design regression for time series:asymptotic normality [J]. Multivariate Anal, 1992,40 : 162-291.
  • 2YANG Shan-chao. Uniformly asymptotic normality of the regression weighted estimator for negatively association samples[J]. Stat Prob Lett, 2003,62 : 101-110.
  • 3FAN Y. Consistent nonparametric multiple regression for dependent heterogeneous processes:the fixed design case [J]. Multivariate Anal ,1990,33(1) : 72-88.
  • 4ORDONEZ C M. Convergence of weighted sums of random variable and uniform integrability concerning the weights [J]. Collect Math, 1994,43 : 121-132.
  • 5PRIESTLEY M B,CHAO M T. Nonparametric function fitting[J]. J R Statist Soc :Series B, 1972,34(3):385-392.
  • 6杨善朝.基于鞅序列非参数回归权函数的估计[J].系统科学与数学,1999,19(1):79-85. 被引量:21
  • 7杨善朝,王岳宝.NA样本回归函数估计的强相合性[J].应用数学学报,1999,22(4):522-530. 被引量:51
  • 8秦永松.相依误差下非参数回归函数估计的强相合性[J].广西师范大学学报(自然科学版),1992,10(2):24-27. 被引量:13

引证文献1

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部