Comparison of Kernel Density Estimators with Assumption on Number of Modes

DOI10.1080/03610918.2013.770530zbMath1328.62229OpenAlexW1994398581MaRDI QIDQ5252817

Gilles Durrieu, Jérôme Saracco, R. Coudret

Publication date: 3 June 2015

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2013.770530

zbMATH Keywords

bandwidthkernel density estimatormodenumerical studyvalvometry

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Applications of statistics to environmental and related topics (62P12)

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Cites Work

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• Estimation of integrated squared density derivatives
• Some asymptotics for multimodality tests based on kernel density estimates
• Exact mean integrated squared error
• Bump hunting with non-Gaussian kernels
• Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
• Density estimation under qualitative assumptions in higher dimensions
• On the consistency of kernel density estimates under modality constraints
• The Standard Two-Sided Power Distribution and its Properties
• On Estimation of a Probability Density Function and Mode

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