A FUZZY NONPARAMETRIC SHEWHART CHART BASED ON THE BOOTSTRAP APPROACH

被引：25

作者：

Wang, Dabuxilatu ^{[1
]}

Hryniewicz, Olgierd ^{[2
]}

机构：

[1] Guangzhou Univ, Dept Stat, Sch Econ & Stat, Guangzhou 510006, Guangdong, Peoples R China

[2] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2015年 / 25卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Shewhart control chart; fuzzy data; bootstrap; average run length; RANDOM-VARIABLES; CONSTRUCTION; VARIANCE; QUALITY;

D O I：

10.1515/amcs-2015-0030

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we consider a nonparametric Shewhart chart for fuzzy data. We utilize the fuzzy data without transforming them into a real-valued scalar (a representative value). Usually fuzzy data (described by fuzzy random variables) do not have a distributional model available, and also the size of the fuzzy sample data is small. Based on the bootstrap methodology, we design a nonparametric Shewhart control chart in the space of fuzzy random variables equipped with some L-2 metric, in which a novel approach for generating the control limits is proposed. The control limits are determined by the necessity index of strict dominance combined with the bootstrap quantile of the test statistic. An in-control bootstrap ARL of the proposed chart is also considered.

引用

页码：389 / 401

页数：13

共 37 条

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