WOD样本最近邻密度估计的相合性
WOD양본최근린밀도고계적상합성
Consistency of nearest neighbor estimator of density function for widely orthant dependent samples
  • 万方数据
    桂林理工大学学报 계림리공대학학보
    JOURNAL OF GUILIN UNIVERSITY OF TECHNOLOGY
    2014年 4期 791-796 ,共6页

    刘振%吴群英%叶彩园

    류진%오군영%협채완

    WOD样本%最近邻密度估计%相合性 WOD樣本%最近鄰密度估計%相閤性
    WOD양본%최근린밀도고계%상합성
    widely orthant dependent samples%nearest neighbor density estimator%consistency
    利用WOD序列的指数不等式，在较弱条件下获得了WOD样本下最近邻密度估计fn∧（x）的相合性，并给出fn∧（x）的弱相合性、强相合性及速度的充分条件。将最近邻密度估计的相合性由NA样本推广到了WOD样本。
    이용WOD서렬적지수불등식，재교약조건하획득료WOD양본하최근린밀도고계fn∧（x）적상합성，병급출fn∧（x）적약상합성、강상합성급속도적충분조건。장최근린밀도고계적상합성유NA양본추엄도료WOD양본。
    The consistency of nearest neighbor density estimator fn∧(x)for widely orthant dependent samples un-der suitable conditions by widely upper orthant dependent exponential inequality is discussed in this paper. Some sufficient conditions for weak and strong consistency of the estimator fn∧(x)are given.The theory of this paper extends the consistency of nearest neighbor density estimator to the case of widely orthant dependent sam-ples.
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