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A fuzzy nonparametric Shewhart chart based on the bootstrap approach

Dabuxilatu WangOlgierd Hryniewicz — 2015

International Journal of Applied Mathematics and Computer Science

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...

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