Multinomial Probability Estimation by Wavelet Thresholding

DOI10.1080/03610920802455043zbMath1165.62312OpenAlexW2124330117MaRDI QIDQ5321946

Jianping Dong, Renfang Jiang

Publication date: 16 July 2009

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920802455043

zbMATH Keywords

rate of convergencesmoothingcontingency tablecategorical datawavelet thresholding

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Numerical methods for wavelets (65T60) Contingency tables (62H17)

Related Items (1)

Nonparametric estimation of a two dimensional continuous-discrete density function by wavelets

Cites Work

• A penalty function approach to smoothing large sparse contingency tables
• Probability estimation via smoothing in sparse contingency tables with ordered categories
• A geometric combination estimator for \(d\)-dimensional ordinal sparse contingency tables
• Smoothing methods in statistics
• The analysis of ordered categorical data: An overview and a survey of recent developments. (With discussion)
• Empirical Bayes selection of wavelet thresholds
• Multi-Scale Jump and Volatility Analysis for High-Frequency Financial Data
• On Smoothing Sparse Multinomial Data
• Ten Lectures on Wavelets
• Three Sides of Smoothing: Categorical Data Smoothing, Nonparametric Regression, and Density Estimation
• Ideal spatial adaptation by wavelet shrinkage
• Parametric modelling of thresholds across scales in wavelet regression

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