Convergence of quantile and depth regions

DOI10.1016/j.spa.2016.04.011zbMath1387.60048OpenAlexW2344129697MaRDI QIDQ335640

James Kuelbs, Joel Zinn

Publication date: 2 November 2016

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2016.04.011

zbMATH Keywords

consistencyempirical processesdepthcentral limit theoremsconvergence of empirical quantiledepth regionsTukey depth

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17)

Related Items (2)

A new approach for the computation of halfspace depth in high dimensions ⋮ Limit Theorems for Quantile and Depth Regions for Stochastic Processes

Cites Work

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• Empirical Quantile CLTs for Time-dependent Data
• Concerns with functional depth
• Limit Theorems for Quantile and Depth Regions for Stochastic Processes
• On a notion of simplicial depth
• Uniform Central Limit Theorems
• On the Concept of Depth for Functional Data

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