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Bibliographic Details
Main Authors: La Fuente, Luis González-De, Nieto-Reyes, Alicia, Terán, Pedro
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2401.01894
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Table of Contents:
  • Statistical depth functions are a standard tool in nonparametric statistics to extend order-based univariate methods to the multivariate setting. Since there is no universally accepted total order for fuzzy data (even in the univariate case) and there is a lack of parametric models, a fuzzy extension of depth-based methods is very interesting. In this paper, we adapt projection depth and $L^{r}$-type depth to the fuzzy setting, studying their properties and illustrating their behaviour with a real data example.