Semi-parametric density estimation for time-series with multiplicative adjustment

被引:7
作者
Wang, Kaiping [1 ,2 ]
Lin, Lu [1 ]
机构
[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China
[2] Shandong Univ, Sch Management, Jinan 250100, Peoples R China
基金
美国国家科学基金会; 中国国家自然科学基金;
关键词
multiplicative adjustment; semi-parametric density estimation; time-series;
D O I
10.1080/03610920701635257
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this article, we extend a class of semi-parametric density estimators to time-series context. The asymptotic theory and simulation study are discussed. Theoretical results and numerical comparison show that in the time-series case, the estimators in this class are better than, or at least competitive with, the traditional kernel density estimator in a broad class of densities.
引用
收藏
页码:1274 / 1283
页数:10
相关论文
共 10 条
[1]  
8Doukhan P., 2012, Mixing: Properties and Examples, V85
[2]  
BHAT BR, 1974, J ROY STAT SOC B MET, V36, P48
[3]  
BOSQ D, 1996, NONPARAMETRIC STAT S
[4]  
Brockwell P.J, 2002, Introduction to time series and forecasting, V2nd
[5]  
COLLOMB G, 1985, STATISTICS, V2, P297
[6]  
Fan J., 2003, NONLINEAR TIME SERIE
[7]   NONPARAMETRIC DENSITY-ESTIMATION WITH A PARAMETRIC START [J].
HJORT, NL ;
GLAD, IK .
ANNALS OF STATISTICS, 1995, 23 (03) :882-904
[8]  
Hjort NL, 1996, ANN STAT, V24, P1619
[9]   EXACT MEAN INTEGRATED SQUARED ERROR [J].
MARRON, JS ;
WAND, MP .
ANNALS OF STATISTICS, 1992, 20 (02) :712-736
[10]   Semiparametric density estimation by local L2-fitting [J].
Naito, K .
ANNALS OF STATISTICS, 2004, 32 (03) :1162-1191