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文章基本信息

  • 标题:On the kernel estimation of a multivariate distribution function under positive dependence
  • 本地全文:下载
  • 作者:Cecília Azevedo ; Paulo E. Oliveira
  • 期刊名称:Chilean Journal of Statistics
  • 印刷版ISSN:0718-7912
  • 电子版ISSN:0718-7920
  • 出版年度:2011
  • 卷号:2
  • 期号:1
  • 页码:99-113
  • 出版社:Chilean Statistical Society
  • 摘要:In this paper, we consider the kernel estimator of the p-dimensional marginal distribution function of a stationary, positively associated sequence of random variables. For this setting, we state results concerning the asymptotic behaviour of this estimator extending some characterizations available in the literature. In addition, we present a simulation study about the empirical process constructed from such a estimator illustrating its asymptotic normality.
  • 关键词:Asymptotic normality  Empirical process  Nonparametric estimation; Optimal bandwidth  Positive association.
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