On Qualitative Smoothness of Kernel Density Estimates1

DOI10.1080/02331889508802494zbMath0811.62046OpenAlexW2056251006MaRDI QIDQ4763489

Enno Mammen

Publication date: 10 April 1995

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331889508802494

zbMATH Keywords

modalityasymptotic expansionssmoothnessinflection pointskernel density estimatesexpected number of local extremes

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items

Estimating the number of clusters, A comparative study of several smoothing methods in density estimation, Improved asymptotics for zeros of kernel estimates via a reformulation of the Leadbetter-Cryer integral, Approximations to distributions of statistics used for testing hypotheses about the number of modes of a population, Piecewise convex function estimation: Pilot estimators, The Modal Age of Statistics, The anchor position of histograms and frequency polygons: quantitative and qualitative smoothing, Some asymptotics for multimodality tests based on kernel density estimates, Minimum distance density-based estimation, Attributing a probability to the shape of a probability density, On the consistency of kernel density estimates under modality constraints, Bivariate density estimation using BV regularisation, On visual distances in density estimation: the Hausdorff choice

Cites Work

• Canonical kernels for density estimation
• Nonparametric regression under qualitative smoothness assumptions
• Some asymptotics for multimodality tests based on kernel density estimates
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