Consistency of \(h\)-mode depth

DOI10.1016/j.jspi.2015.04.006zbMath1326.62108OpenAlexW2018584942MaRDI QIDQ894793

Stanislav Nagy

Publication date: 23 November 2015

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2015.04.006

zbMATH Keywords

rate of convergencerobustnessconsistencykernel estimatemode\(h\)-mode depthBanach-valued data

Mathematics Subject Classification ID

Density estimation (62G07) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Nonparametric robustness (62G35) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Probability theory on linear topological spaces (60B11)

Related Items

An integrated local depth measure, Data depth for measurable noisy random functions, Functional Outlier Detection through Probabilistic Modelling

Uses Software

• fda (R)
• fda.usc

Cites Work

• Weak convergence of discretely observed functional data with applications
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• A Generalization of the Maximum Theorem
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• A First Course in Optimization Theory
• Probability Inequalities for Sums of Bounded Random Variables
• A General Qualitative Definition of Robustness
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