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WOD样本下密度函数核估计的强相合性
引用本文:施生塔,吴群英. WOD样本下密度函数核估计的强相合性[J]. 浙江大学学报(理学版), 2014, 0(1): 26-28,34
作者姓名:施生塔  吴群英
作者单位:桂林理工大学理学院,广西桂林541004
基金项目:基金项目:国家自然科学基金资助项目(11061012);广西省自然科学基金资助项目(2012GxNsFAA053010);广西研究生教育创新计划项目(2011105960202M32).
摘    要:设(Xn,n≥1)是同分布的WOD随机变量序列,具有共同的密度函数f(x),利用WUOD序列的指数不等式,在适当条件下获得了WOD样本下密度函数核估计的强相合性.

关 键 词:WOD样本  密度函数核估计  相合性

The strong consistency for the kernel-type density estimation in the case of widely orthant dependent samples.
SHI Shengta,WU Qunying. The strong consistency for the kernel-type density estimation in the case of widely orthant dependent samples.[J]. Journal of Zhejiang University(Sciences Edition), 2014, 0(1): 26-28,34
Authors:SHI Shengta  WU Qunying
Affiliation:(Collegeof Science, Guilin Uinversity of Technology, Guilin 541004, Guangxi Province , China)
Abstract:On the supposition that { Xn, n≥ 1 } are identically distributed widely orthant dependent random variable sequences, with a common density function f(x). The strong consistency of the kernel estimator of the density function for widely orthant dependent samples proves to be right under suitable conditions by using widely upper or thant dependent exponential inequality.
Keywords:widely orthant dependent samples  kernel estimator of the density function  consistency
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