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 [J].

DEVROYE, L .

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 [J].

MOORE, M .

ANNALS OF STATISTICS, 1984, 12 (03) :1090-1099

[8]

Silverman B. W., 1986, MONOGR STAT APPL PRO

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