Zhang Di-xin. Rates of Strong Uniform Convergence of Nearest Neighbor Density Estimates on Any Compact Set[J]. Applied Mathematics and Mechanics, 1990, 11(4): 357-364.
Citation: Zhang Di-xin. Rates of Strong Uniform Convergence of Nearest Neighbor Density Estimates on Any Compact Set[J]. Applied Mathematics and Mechanics, 1990, 11(4): 357-364.

Rates of Strong Uniform Convergence of Nearest Neighbor Density Estimates on Any Compact Set

  • Received Date: 1989-01-03
  • Publish Date: 1990-04-15
  • In this paper, we propose the concept of rates of strong uniform convergence of nearest neighbor density estimates on any compact set and obtain some better convergence rates. Hence the problem of the strong uniform convergence rates predetermined is its special example. The applied region of the estimate is extended.
  • loading
  • [1]
    Wagner,T.J.,Strong consistency of a nonparametric estimate of a density function,IEEE Transaction on Systems Man and Cybernetics,3(1973).289-290.
    [2]
    陈希孺,最近邻密度估计的收敛速度,中国科学,A辑.12 (1981), 1419-1428.
    [3]
    白志东,最近邻密度估计的中心极限定理.中国科技大学学报,5 (1983), 114-118.
    [4]
    卢江,最近邻密度估计的逐点强收敛速度,应用概率统计.2, 1 (1988), 21-27.
    [5]
    Chung,K.L.,An estimate concerning the Kolmogoroff limit distribution,Trans.Amer.Math.Soc.,67(1949),36-50.
    [6]
    Devroye,L.P.and T.J.Wagner,The strong uniform consistency of kernel density estimates,Multivariate Analysis.5(1980),59-77.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1850) PDF downloads(556) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return