Zobrazeno 1 - 10
of 232
pro vyhledávání: '"Nieto-Reyes"'
Statistical depth functions order the elements of a space with respect to their centrality in a probability distribution or dataset. Since many depth functions are maximized in the real line by the median, they provide a natural approach to defining
Externí odkaz:
http://arxiv.org/abs/2310.13478
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 ther
Externí odkaz:
http://arxiv.org/abs/2401.01894
Publikováno v:
Electron. J. Statist. 18 (2) 3021 - 3106, 2024
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 to spaces of any dimension, for instance, multivariate and functional
Externí odkaz:
http://arxiv.org/abs/2308.09869
Autor:
Nieto-Reyes, Alicia
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 at a random day is performed, which results in rejecting the null hypot
Externí odkaz:
http://arxiv.org/abs/2207.01379
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 random variable. One of the most used and studied statistical depth funct
Externí odkaz:
http://arxiv.org/abs/2207.12853
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, we provide a series of properties for statistical data depth with resp
Externí odkaz:
http://arxiv.org/abs/2206.14490
Autor:
Nieto-Reyes, Alicia, Cabrera, Javier
Normalization and outlier detection belong to the preprocessing of gene expression data. We propose a natural normalization procedure based on statistical data depth which normalizes to the distribution of gene expressions of the most representative
Externí odkaz:
http://arxiv.org/abs/2206.13928
Autor:
Nieto-Reyes, Alicia, Aston, John A. D.
Functional depth is the functional data analysis technique that orders a functional data set. Unlike the case of data on the real line, defining this order is non-trivial, and particularly, with functional data, there are a number of properties that
Externí odkaz:
http://arxiv.org/abs/2206.13897
Publikováno v:
In Fuzzy Sets and Systems 1 July 2024 487
The concept of depth has proved very important for multivariate and functional data analysis, as it essentially acts as a surrogate for the notion a ranking of observations which is absent in more than one dimension. Motivated by the rapid developmen
Externí odkaz:
http://arxiv.org/abs/2107.13779