Mode testing in difficult cases

DOI10.1214/aos/1017938927zbMath0957.62028OpenAlexW2022686610MaRDI QIDQ1568273

Ming-Yen Cheng, Hall, Peter

Publication date: 29 March 2001

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1017938927

zbMATH Keywords

bootstrapsmoothingbandwidthturning pointcalibrationcurve estimationshoulderlocal maximumlevel accuracy

Mathematics Subject Classification ID

Density estimation (62G07) Nonparametric statistical resampling methods (62G09)

Related Items

On the upper bound of the number of modes of a multivariate normal mixture, Multiscale inference about a density, Multiscale blind source separation, Estimation of regression contour clusters -- an application of the excess mass approach to regression, Attributing a probability to the shape of a probability density, Bump hunting with non-Gaussian kernels, Bandwidth-based nonparametric inference, The circular SiZer, inferred persistence of shape parameters and application to early stem cell differentiation, Multivariate mode hunting: Data analytic tools with measures of significance, Testing for monotone increasing hazard rate, Multiscale testing of qualitative hypotheses

Cites Work

• The dip test of unimodality
• Some asymptotics for multimodality tests based on kernel density estimates
• Excess Mass Estimates and Tests for Multimodality
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Calibrating the Excess Mass and Dip Tests of Modality
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