ADAPTIVE DENSITY FLATTENING - A METRIC DISTORTION PRINCIPLE FOR COMBATTING BIAS IN NEAREST NEIGHBOR METHODS

被引：17

作者：

ABRAMSON, IS

机构：

来源：

ANNALS OF STATISTICS | 1984年 / 12卷 / 03期

关键词：

D O I：

10.1214/aos/1176346708

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：

引用

页码：880 / 886

页数：7

共 12 条

[1] ON BANDWIDTH VARIATION IN KERNEL ESTIMATES - A SQUARE ROOT LAW [J].

ABRAMSON, IS .

ANNALS OF STATISTICS, 1982, 10 (04) :1217-1223

[2] ARBITRARINESS OF THE PILOT ESTIMATOR IN ADAPTIVE KERNEL METHODS [J].

ABRAMSON, IS .

JOURNAL OF MULTIVARIATE ANALYSIS, 1982, 12 (04) :562-567

[3] CONVERGENCE CRITERIA FOR MULTIPARAMETER STOCHASTIC PROCESSES AND SOME APPLICATIONS [J].

BICKEL, PJ ;

WICHURA, MJ .

ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (05) :1656-&

[4] ESTIMATION OF A MULTIVARIATE DENSITY [J].

CACOULLOS, T .

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1966, 18 (02) :179-+

[5]

FRIEDMAN JH, 1981, LECTURE COURSE UC BE

[6] WEAK-CONVERGENCE AND EFFICIENT DENSITY-ESTIMATION AT A POINT [J].

KRIEGER, AM ;

PICKANDS, J .

ANNALS OF STATISTICS, 1981, 9 (05) :1066-1078

[7]

LOFTSGAARDEN DO, 1965, ANN MATH STATIST, V36, P320

[8] MULTIVARIATE K-NEAREST NEIGHBOR DENSITY ESTIMATES [J].

MACK, YP ;

ROSENBLATT, M .

JOURNAL OF MULTIVARIATE ANALYSIS, 1979, 9 (01) :1-15

[9] CONSISTENCY PROPERTIES OF NEAREST NEIGHBOR DENSITY-FUNCTION ESTIMATORS [J].

MOORE, DS ;

YACKEL, JW .

ANNALS OF STATISTICS, 1977, 5 (01) :143-154

[10] OPTIMAL RATES OF CONVERGENCE FOR NONPARAMETRIC ESTIMATORS [J].

STONE, CJ .

ANNALS OF STATISTICS, 1980, 8 (06) :1348-1360

← 1 2 →