Local Polynomial Estimation of Contingency Table Cell Probabilities

DOI10.1080/02331889708802605zbMath0915.62053OpenAlexW2011815895MaRDI QIDQ4375881

Marc Aerts, Ilse Augustyns, Paul Janssen

Publication date: 8 February 1998

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331889708802605

zbMATH Keywords

local polynomial smootherssparse contingency tablesbandwidth matrixmean sum of squared errors

Mathematics Subject Classification ID

Density estimation (62G07) Contingency tables (62H17)

Related Items (7)

Cross-validation and the estimation of probability distributions with categorical data ⋮ Adaptive Bayesian estimation of conditional discrete-continuous distributions with an application to stock market trading activity ⋮ Sparse consistency and smoothing for multinomial data ⋮ Nonparametric estimation of distributions with categorical and continuous data ⋮ Local smoothing with given marginals ⋮ Central limit theorem for the total squared error of local polynomial estimators of cell probabilities ⋮ Relative smoothing of discrete distributions with sparse observations

Cites Work

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• Local polynomial regression: Optimal kernels and asymptotic minimax efficiency
• Multivariate locally weighted least squares regression
• A geometric combination estimator for \(d\)-dimensional ordinal sparse contingency tables
• Smoothing methods in statistics
• Error analysis for general multtvariate kernel estimators
• On Smoothing Sparse Multinomial Data
• Design-adaptive Nonparametric Regression
• Smoothing sparse multinomial data using local polynomial fitting
• Comparison of Smoothing Parameterizations in Bivariate Kernel Density Estimation

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