6 citations · 13 across the 14 of their papers we have counts for
15 papers
Projection depth and -type depths for fuzzy random variables
Luis González-De La Fuente, Alicia Nieto-Reyes, Pedro Terán
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 acce…
Symmetrisation of a class of two-sample tests by mutually considering depth ranks including functional spaces
Felix Gnettner, Claudia Kirch, Alicia Nieto-Reyes
Statistical depth functions provide measures of the outlyingness, or centrality, of the elements of a space with respect to a distribution. It is a nonparametric concept applicable…
On the Non-Gaussianity of Sea Surface Elevations
Alicia Nieto-Reyes
The sea surface elevations are generally stated as Gaussian processes in the literature. To show the inaccuracy of this statement, an empirical study of the buoys in the US coast a…
Simplicial depths for fuzzy random variables
Luis González-De La Fuente, Alicia Nieto-Reyes, Pedro Terán
The recently defined concept of a statistical depth function for fuzzy sets provides a theoretical framework for ordering fuzzy sets with respect to the distribution of a fuzzy ran…
Properties of statistical depth with respect to compact convex random sets. The Tukey depth
Luis González-De La Fuente, Alicia Nieto-Reyes, Pedro Terán
We study a statistical data depth with respect to compact convex random sets which is consistent with the multivariate Tukey depth and the Tukey depth for fuzzy sets. In doing so,…
Statistical Depth based Normalization and Outlier Detection of Gene Expression Data
Alicia Nieto-Reyes, Javier Cabrera
Normalization and outlier detection belong to the preprocessing of gene expression data. We propose a natural normalization procedure based on statistical data depth which normaliz…