A recursive procedure for density estimation on the binary hypercube

DOI10.1214/13-EJS787zbMath1337.62070arXiv1112.1450MaRDI QIDQ1951138

Maxim Raginsky, Svetlana Lazebnik, Jorge G. Silva, Rebecca Willett

Publication date: 29 May 2013

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

Full work available at URL: https://arxiv.org/abs/1112.1450

zbMATH Keywords

density estimationadaptive estimationminimax estimationsparsitybinary hypercubeWalsh basis

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Minimax procedures in statistical decision theory (62C20)

Related Items (1)

A note on density estimation for binary sequences

Cites Work

• Estimating dynamic panel data discrete choice models with fixed effects
• Nonparametric iterative estimation of multivariate binary density
• Concentration inequalities and model selection. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003.
• Conditional independence of multivariate binary data with an application in caries research
• Estimation of multivariate binary density using orthogonal functions
• Nonparametric curve estimation. Methods, theory, and applications
• Sharper bounds for Gaussian and empirical processes
• On Russo's approximate zero-one law
• Adaptive estimation of the intensity of inhomogeneous Poisson processes via concentration inequalities
• Information-theoretic determination of minimax rates of convergence
• Block threshold rules for curve estimation using kernel and wavelet methods
• Density estimation by wavelet thresholding
• Smoothing categorical data
• Weak convergence and empirical processes. With applications to statistics
• On the Fourier tails of bounded functions over the discrete cube
• Variable Selection in High-Dimensional Multivariate Binary Data with Application to the Analysis of Microbial Community DNA Fingerprints
• Modern statistical estimation via oracle inequalities
• Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
• Near-optimal sparse fourier representations via sampling
• Some Classification Procedures for Multivariate Binary Data Using Orthogonal Functions
• Multivariate binary discrimination by the kernel method
• Learning Decision Trees Using the Fourier Spectrum
• Probabilistic Models for Bacterial Taxonomy
• Elements of Information Theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A recursive procedure for density estimation on the binary hypercube