摘要
该文绘出了球面数据密度函数的核近邻估计,通过对核估计与近邻估计相互关系的讨论,建立了核近邻估计的逐点强相合性及一致强相合性.
In this article, we intruduce a kernel neighbor estimator of density function of spherical data. By investigating the relationship between kernel estimator and kernel neighbor estimator, we establish the strong consistency and the uniformly strong consistency for this kernel neighbor estimator.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2000年第3期386-393,共8页
Acta Mathematica Scientia
基金
国家自然科学基金!(19631040
19971085)
国家教委博士点基金
关键词
球面数据
核近邻估计
逐点强相合性
核估计
Spherical data,Density function kernel neighbor estimator, Pointwise strong consistency, Uniformly strong consistency.