Integrated depth for measurable functions and sets

DOI10.1016/j.spl.2016.12.012zbMath1360.62236OpenAlexW2565489593MaRDI QIDQ511575

Stanislav Nagy

Publication date: 21 February 2017

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2016.12.012

zbMATH Keywords

consistencymeasurabilityrandom setsfunctional dataintegrated depth

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Measures and integrals in product spaces (28A35) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Nonparametric inference and fuzziness (62G86)

Related Items (3)

Depth and outliers for samples of sets and random sets distributions ⋮ Flexible integrated functional depths ⋮ Data depth for measurable noisy random functions

Uses Software

• fda (R)

Cites Work

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• Regularized 3D functional regression for brain image data via Haar wavelets
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• Product measurability, parameter integrals, and a Fubini counterexample
• General notions of statistical depth function.
• Trimmed means for functional data
• Multivariate L-estimation. (With comments)
• Nonparametric functional data analysis. Theory and practice.
• Integrated depth for functional data: statistical properties and consistency
• Uniform Central Limit Theorems
• On the Concept of Depth for Functional Data
• Measurability of Functions in Product Spaces

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