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arXiv · 2401.01894

Projection depth and $L^r$-type depths for fuzzy random variables

Luis González-De La Fuente·Alicia Nieto-Reyes·Pedro Terán
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Abstract

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.

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Luis González-De La Fuente, Alicia Nieto-Reyes, Pedro Terán. 2023-10-18. Projection depth and $L^r$-type depths for fuzzy random variables. https://arxiv.org/abs/2401.01894

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