3 papers
math.PR2024
On independence and large deviations for sublinear expectations
Pedro Terán, José M. Zapata
We prove by counterexample that a large deviation principle established by Chen and Feng [{\em Comm. Statist. Theory Methods} {\bf 45} (2016), 400--412] in the framework of subline…
math.ST2024
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…
math.ST2023
Statistical depth and support medians for fuzzy data
Luis González-De La Fuente, Alicia Nieto-Reyes, Pedro Terán
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…