Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
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.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 25, number 2 (2015) ; click here to follow the link
Biblioteka Uniwersytetu Zielonogórskiego
Jul 14, 2025
May 2, 2024
108
https://zbc.uz.zgora.pl/repozytorium/publication/88889
| Edition name | Date |
|---|---|
| A fuzzy nonparametric Shewhart chart based on the bootstrap approach | Jul 14, 2025 |
Grzegorzewski, Przemysław Hryniewicz, Olgierd (1948- ) Romaniuk, Maciej Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Grzegorzewski, Przemysław Romaniuk, Maciej Witczak, Marcin - ed. Stetter, Ralf - ed.
Grzegorzewski, Przemysław Romaniuk, Maciej Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Tabor, Zbisław Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Nowicki, Robert K. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Simiński, Krzysztof Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Kacprzyk, Janusz (1947- ) Yager, Ronald R. Zadrożny, Sławomir Rutkowska, Danuta - ed. Zadeh, Lotfi A. - ed.
Bodyanskiy, Yevgeniy V. Tyshchenko, Oleksii K. Kulczycki, Piotr - ed. Kacprzyk, Janusz - ed. Kóczy, László T. - ed. Mesiar, Radko - ed.