Recursive estimation of the mode of a multivariate density

DOI10.2307/3315115zbMath0444.60023OpenAlexW2147855220MaRDI QIDQ3888236

Luc P. Devroye

Publication date: 1979

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5b1bcd6984d54ab7a431a5f8ed7be3bb55200e06

zbMATH Keywords

density estimationstrong uniform consistencyrecursive estimationmultivariate densityestimation of the mode

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Strong limit theorems (60F15)

Related Items

Estimation of the global mode of a density: minimaxity, adaptation, and computational complexity, Consistency of the simple mode of a density for spatial processes, The Modal Age of Statistics, Consistency of the frequency polygon estimators of density mode for strongly mixing processes, Concurrent stochastic methods for global optimization, On the consistency of mode estimate for spatially dependent data, On the asymptotic properties of a simple estimate of the Mode, Bivariate density estimation using BV regularisation, Simple estimation of the mode of a multivariate density, Higher order estimation at Lebesgue points

Cites Work

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• Consistency in nonparametric estimation of the mode
• Consistency properties of nearest neighbor density function estimators
• The strong uniform consistency of nearest neighbor density estimates
• Weak and strong uniform consistency of the kernel estimate of a density and its derivatives
• Estimation of a multivariate mode
• Convergence of random processes in the theory of learning machines. II
• Estimation of the mode
• Probability Inequalities for the Sum of Independent Random Variables
• An Iterative Procedure for Estimating the Mode
• Uniform consistency of a histogram density estimator and modal estimation
• Nonparametric Learning Without a Teacher Based on Mode Estimation
• Some Direct Estimates of the Mode
• A Nonparametric Estimate of a Multivariate Density Function
• On Non-Parametric Estimates of Density Functions and Regression Curves
• On Strong Consistency of Density Estimates
• Note on the Uniform Convergence of Density Estimates
• On Estimation of the Mode
• On Estimation of a Probability Density Function and Mode