Explicit bivariate simplicial depth

DOI10.1016/j.jmva.2024.105375MaRDI QIDQ6656670

Erik Mendroš, Stanislav Nagy

Publication date: 3 January 2025

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

simplicial depthstatistical depthSylvester's problem

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Nonparametric robustness (62G35) Multivariate analysis (62Hxx)

Cites Work

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• Depth-based runs tests for bivariate central symmetry
• Monge-Kantorovich depth, quantiles, ranks and signs
• Geometric probability on the sphere
• Multivariate dispersion, central regions and depth. The lift zonoid approach
• An analogue of Sylvester's four-point problem on the sphere
• On a notion of data depth based on random simplices
• Ordering directional data: Concepts of data depth on circles and spheres
• Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
• On Liu's simplicial depth and Randles' interdirections
• The general projected normal distribution of arbitrary dimension: modeling and Bayesian inference
• On a general definition of depth for functional data
• General notions of statistical depth function.
• Trimmed means for functional data
• Bounds for the breakdown point of the simplicial median
• On the performance of some robust nonparametric location measures relative to a general notion of multivariate symmetry
• K-sign depth: from asymptotics to efficient implementation
• Estimating the probability that a given vector is in the convex hull of a random sample
• Tests Based on Simplicial Depth for AR(1) Models With Explosion
• The Historical Development of J. J. Sylvester's Four Point Problem
• Four Shots for a Convex Quadrilateral
• On a notion of simplicial depth
• Bivariate Sign Tests
• Lectures on Polytopes
• Regression Depth
• Calculus of Variations
• Coverage problems and random convex hulls
• DD-Classifier: Nonparametric Classification Procedure Based onDD-Plot
• Absorption probabilities for Gaussian polytopes and regular spherical simplices
• A bivariate test for location based on simplicial depth
• On the Concept of Depth for Functional Data
• The convex hull of a random set of points
• A continuous analogue of the upper bound theorem
• The depth function of a population distribution.
• Tukey’s Depth for Object Data
• Spatial quantiles on the hypersphere

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