Multivariate mode hunting: Data analytic tools with measures of significance
From MaRDI portal
Publication:1012536
DOI10.1016/j.jmva.2008.10.015zbMath1159.62032OpenAlexW2059194774MaRDI QIDQ1012536
Wolfgang Polonik, Prabir Burman
Publication date: 21 April 2009
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmva.2008.10.015
modalityBrownian bridgeVC-classesdistribution freenearest neighbor methodclimatologytesting for antimodes
Multivariate analysis (62H99) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Hypothesis testing in multivariate analysis (62H15) Nonparametric inference (62G99)
Related Items
PRIM analysis, Estimation of level set trees using adaptive partitions, Testing for principal component directions under weak identifiability, Reverse stress testing in skew-elliptical models, The Modal Age of Statistics, A Review on Modal Clustering, Moving Up the Cluster Tree with the Gradient Flow, Mode Identification of Volatility in Time-Varying Autoregression, Multiscale inference for a multivariate density with applications to X-ray astronomy, Data Exploration by Representative Region Selection: Axioms and Convergence, Efficient estimation of the mode of continuous multivariate data, An advancement in clustering via nonparametric density estimation, Cross‐validation and peeling strategies for survival bump hunting using recursive peeling methods, Nonparametric semi-supervised classification with application to signal detection in high energy physics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Estimating modes and antimodes of multimodal densities
- Probability inequalities for empirical processes and a law of the iterated logarithm
- Nonparametric density estimation and clustering in astronomical sky surveys
- The dip test of unimodality
- Location-adaptive density estimation and nearest-neighbor distance
- Minimum volume sets and generalized quantile processes
- The MAP test for multimodality
- On nonparametric estimation of density level sets
- Nonparametric testing of the existence of modes
- Granulometric smoothing
- Mode testing in difficult cases
- Adaptive nonparametric peak estimation
- Multiscale maximum likelihood analysis of a semiparametric model, with applications.
- Convergence rate of the best-\(r\)-point-average estimator for the maximizer of a nonparametric regression function.
- Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
- Weak convergence and empirical processes. With applications to statistics
- Smoothing methods in statistics
- Estimation of regression contour clusters -- an application of the excess mass approach to regression
- Excess Mass Estimates and Tests for Multimodality
- A Limit Theorem for Solutions of Inequalities
- Density Estimation and Bump-Hunting by the Penalized Likelihood Method Exemplified by Scattering and Meteorite Data
- Printer graphics for clustering
- A Graphical Technique for Determining the Number of Components in a Mixture of Normals
- Estimating the number of clusters
- Rates of Convergence for a Bayesian Level Set Estimation
- Results on Nonparametric Modal Intervals
- On Estimation of the Mode