ON PATTERN-ANALYSIS IN THE NONCONVEX CASE

被引：16

作者：

CUEVAS, A

机构：

[1] Departamento de Matemáticas, Universidad Autonoma, Madrid

来源：

KYBERNETES | 1990年 / 19卷 / 06期

关键词：

PROBLEM SOLVING;

D O I：

10.1108/eb005866

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of estimating a kappa-dimensional body from a random sample of points is discussed and a natural estimate, first proposed by Grenander, is considered. Two consistency results together with a convergence rate for this estimate are given, and some open problems are proposed.

引用

页码：26 / 33

页数：8

共 8 条

[1] THE EQUIVALENCE OF WEAK, STRONG AND COMPLETE CONVERGENCE IN L1 FOR KERNEL DENSITY ESTIMATES
DEVROYE, L
[J]. ANNALS OF STATISTICS, 1983, 11 (03) : 896 - 904
[2] GRENANDER U, 1978, PATTERN ANAL LECTURE, V1
[3] Grenander U., 1981, ABSTRACT INFERENCE
[4] Kolmogorov AN, 1961, AM MATH SOC TRANSL, V2, P277
[5] LYASHENKO NN, 1982, J SOVIET MATH, V20, P2187
[6] MATHERON G., 1975, RANDOM SETS INTEGRAL
[7] ON THE ESTIMATION OF A CONVEX SET
MOORE, M
[J]. ANNALS OF STATISTICS, 1984, 12 (03) : 1090 - 1099
[8] Silverman B. W., 1986, MONOGR STAT APPL PRO

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