On mode testing and empirical approximations to distributions

DOI10.1016/S0167-7152(98)00058-3zbMath0954.62063MaRDI QIDQ1273032

Ming-Yen Cheng, Hall, Peter

Publication date: 2 December 1998

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

density estimationorder constraintsconcave majorantconvex minorantdip testunimodal distributionbandwidth testsexcess mass testlocal alternative hypothesis

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20)

Related Items

Confidence sets for the maximizers of intensity functions, Kernel excess mass test for multimodality, Estimation of regression contour clusters -- an application of the excess mass approach to regression, Efficient estimation of the mode of continuous multivariate data

Uses Software

• AS 217

Cites Work

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• The dip test of unimodality
• On confidence bands in nonparametric density estimation and regression
• Some asymptotics for multimodality tests based on kernel density estimates
• On an Inequality for Convex Functions
• Excess Mass Estimates and Tests for Multimodality
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Asymptotically minimax estimation of concave and convex distribution functions