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## International Journal of Applied Mathematics and Computer Science

2015 | 25 | 2 | 389-401
Tytuł artykułu

### A fuzzy nonparametric Shewhart chart based on the bootstrap approach

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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 L2 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.
Słowa kluczowe
EN
Rocznik
Tom
Numer
Strony
389-401
Opis fizyczny
Daty
wydano
2015
otrzymano
2013-10-24
poprawiono
2014-08-02
Twórcy
autor
• Department of Statistics, School of Economics and Statistics, Guangzhou University, 230 Waihuanxi Road, Guangzhou, 510006, PR China
autor
• Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland
Bibliografia
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