THE CONSISTENCY AND ASYMPTOTIC NORMALITY OF NEAREST NEIGHBOR DENSITY ESTIMATOR UNDER α-MIXING CONDITION

被引：0

作者：

Liu Yanyan ^{[1
]}

Zhang Yanli ^{[2
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Shandong Econ Univ, Inst Stat & Actuary, Jinan 250014, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2010年 / 30卷 / 03期

基金：

中国国家自然科学基金;

关键词：

NN-estimator; alpha-mixing; consistency; asymptotic normality; NONPARAMETRIC ESTIMATE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the consistency and asymptotic normality of nearest-neighbor density estimator of a sample data process based on a-mixing assumption. We extend the correspondent result under independent identical cases.

引用

页码：733 / 738

页数：6

共 9 条

[1] [Anonymous], 1994, Lecture notes in Statistics
[2] [Anonymous], 1969, Soviet Math. Dokl.
[3] CONSISTENCY OF A NONPARAMETRIC ESTIMATE OF A DENSITY-FUNCTION FOR DEPENDENT-VARIABLES
BOENTE, G
FRAIMAN, R
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1988, 25 (01) : 90 - 99
[4] Chai GX., 1989, ACTA MATH SINICA, V32, P423
[5] CHENG XR, 1980, SCI CHINA, V12, P1419
[6] A NONPARAMETRIC ESTIMATE OF A MULTIVARIATE DENSITY-FUNCTION
LOFTSGAARDEN, DO
QUESENBERRY, CP
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1965, 36 (03): : 1049 - 1051
[7] COMPLETE CONVERGENCE FOR ALPHA-MIXING SEQUENCES
SHAO, QM
[J]. STATISTICS & PROBABILITY LETTERS, 1993, 16 (04) : 279 - 287
[8] WAGNER TJ, 1973, IEEE T SYST MAN CYB, VSMC3, P289
[9] Yang Shanchao, 2003, Acta Mathematicae Applicatae Sinica, V26, P385

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