许俊莲.基于偏差密度模型的小波估计*[J].数学年刊A辑,2015,36(2):151~160
基于偏差密度模型的小波估计*
A Wavelet Estimation for Biased Density Models
  
DOI:
中文关键词:  小波估计器, 正相协, 负相协, 加权函数, Newman不等式
英文关键词:Wavelet estimator, Positively associated, Negatively associated, Weight function, Newman inequality
基金项目:本文受到国家自然科学基金 (No.11271038)和宝鸡文理学院校级项目 (No.ZK14060)的资助.
Author NameAffiliationE-mail
XU Junlian College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
College of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, Shaanxi, China. 
xujunlian83913@163.com 
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中文摘要:
      讨论了带加权分布且基于分层相协随机变量的密度函数估计问题, 提出了线性小波估计器, 并给出该估计器的~$L^p\ (1\leq p<\infty)$~风险上界.
英文摘要:
      In this paper, the author defines an linear estimator of some density functions based on wavelets with associated stratified random variables from weighted distribution and provide an upper bound of wavelet estimation on Lp (1 6 p < ∞) risk.
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