Optimal level sets for bivariate density representation

DOI10.1016/J.JMVA.2015.04.005zbMath1325.62038OpenAlexW2042206293MaRDI QIDQ495340

Philippe Vieu, Pedro F. Delicado

Publication date: 10 September 2015

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

Full work available at URL: http://hdl.handle.net/2117/86017

zbMATH Keywords

bivariate probability densitiesconsistency estimators of levelsgraphical representation of bivariate densitiesoptimal level sets for densitiesoptimal representation of densities by level sets

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Random graphs (graph-theoretic aspects) (05C80) Graph theory (including graph drawing) in computer science (68R10) Approximations to statistical distributions (nonasymptotic) (62E17) Applications of graph theory to circuits and networks (94C15)

Related Items (4)

Choosing the most relevant level sets for depicting a sample of densities ⋮ Recent advances in functional data analysis and high-dimensional statistics ⋮ Describing the concentration of income populations by functional principal component analysis on Lorenz curves ⋮ On functional data analysis and related topics

Uses Software

• R
• fda (R)
• KernSmooth
• LBFGS-B
• pdfTeX

Cites Work

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• Visual Error Criteria for Qualitative Smoothing
• A Limited Memory Algorithm for Bound Constrained Optimization
• Generalized multidimensional scaling: A framework for isometry-invariant partial surface matching
• Convergence rates in nonparametric estimation of level sets

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