Strong consistency and rates of convergence for a random estimator of a fuzzy set

被引：1

作者：

Teran, Pedro ^{[1
]}

Lopez-Diaz, Miguel ^{[2
]}

机构：

[1] Univ Oviedo, Dept Estadist & IO & DM, Escuela Politecn Ingn, E-33071 Oviedo, Spain

[2] Univ Oviedo, Dept Estadist & IO & DM, Fac Ciencias, E-33071 Oviedo, Spain

来源：

COMPUTATIONAL STATISTICS & DATA ANALYSIS | 2014年 / 77卷

关键词：

Fuzzy set; Random set; Rate of convergence; Set estimation; CONVEX-HULL; SPACE;

D O I：

10.1016/j.csda.2014.02.016

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An approximation scheme for estimating a fixed, unknown fuzzy set from random samples taken from the nested random set defined by its alpha-level sets is presented. Its strong consistency is studied, giving rates of convergence in four metrics. A simulation study suggests that the behaviour for moderately small samples is coherent with the theoretical rate of convergence valid for large samples. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：130 / 145

页数：16

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