MULTIVARIATE K-NEAREST NEIGHBOR DENSITY ESTIMATES

被引：165

作者：

MACK, YP

ROSENBLATT, M

机构：

[1] University of California, San Diego, La Jolla

来源：

JOURNAL OF MULTIVARIATE ANALYSIS | 1979年 / 9卷 / 01期

关键词：

bias; Density estimates; k-nearest neighbor; kernel estimate; order statistics; tail behavior; variance;

D O I：

10.1016/0047-259X(79)90065-4

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：

Under appropriate assumptions, expressions describing the asymptotic behavior of the bias and variance of k-nearest neighbor density estimates with weight function w are obtained. The behavior of these estimates is compared with that of kernel estimates. Particular attention is paid to the properties of the estimates in the tail. © 1979.

引用

页码：1 / 15

页数：15

共 12 条

[1] VARIABLE KERNEL ESTIMATES OF MULTIVARIATE DENSITIES
BREIMAN, L
MEISEL, W
PURCELL, E
[J]. TECHNOMETRICS, 1977, 19 (02) : 135 - 144
[2] ESTIMATION OF A MULTIVARIATE DENSITY
CACOULLOS, T
[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1966, 18 (02) : 179 - +
[3] NEAREST NEIGHBOR PATTERN CLASSIFICATION
COVER, TM
HART, PE
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1967, 13 (01) : 21 - +
[4] STRONG UNIFORM CONSISTENCY OF NEAREST NEIGHBOR DENSITY ESTIMATES
DEVROYE, LP
WAGNER, TJ
[J]. ANNALS OF STATISTICS, 1977, 5 (03) : 536 - 540
[5] FIX E, 1951, 4 USAF SCH AV MED RE
[6] OPTIMIZATION OF K NEAREST-NEIGHBOR DENSITY ESTIMATES
FUKUNAGA, K
HOSTETLER, LD
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1973, 19 (03) : 320 - 326
[7] A NONPARAMETRIC ESTIMATE OF A MULTIVARIATE DENSITY-FUNCTION
LOFTSGAARDEN, DO
QUESENBERRY, CP
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1965, 36 (03): : 1049 - 1051
[8] CONSISTENCY PROPERTIES OF NEAREST NEIGHBOR DENSITY-FUNCTION ESTIMATORS
MOORE, DS
YACKEL, JW
[J]. ANNALS OF STATISTICS, 1977, 5 (01) : 143 - 154
[9] MOORE DS, 1977, STATISTICAL DECISION
[10] CURVE ESTIMATES
ROSENBLA.M
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (06): : 1815 - &

← 1 2 →