- Tytuł:
- A fuzzy nonparametric Shewhart chart based on the bootstrap approach
- Autorzy:
-
Wang, D.
Hryniewicz, O. - Powiązania:
- https://bibliotekanauki.pl/articles/331218.pdf
- Data publikacji:
- 2015
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
Shewhart control chart
fuzzy data
bootstrap
average run length
karta kontrolna Shewharta
dane rozmyte
metoda bootstrap - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2015, 25, 2; 389-401
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł