Probability estimation via smoothing in sparse contingency tables with ordered categories

DOI10.1016/0167-7152(87)90027-7zbMath0603.62065OpenAlexW2066209752MaRDI QIDQ1082751

Jeffrey S. Simonoff

Publication date: 1987

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(87)90027-7

zbMATH Keywords

computer simulationsconsistency theoremsmoothing proceduresordered categorieskernel-based smoothingmaximum penalized likelihood smoothingProbability estimationsparse two-dimensional contingency tables

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Contingency tables (62H17) Probabilistic methods, stochastic differential equations (65C99)

Related Items (7)

Discriminant analysis and density estimation on the finite d-dimensional grid ⋮ Smoothing categorical data ⋮ The analysis of ordered categorical data: An overview and a survey of recent developments. (With discussion) ⋮ Multinomial Probability Estimation by Wavelet Thresholding ⋮ On some testing problems for sparse contingency tables. ⋮ Testing for positive association in contingency tables with fixed margins ⋮ Generalized log-linear models with random effects, with application to smoothing contingency tables

Uses Software

• IMSL Numerical Libraries

Cites Work

• A penalty function approach to smoothing large sparse contingency tables
• Cross-validation in nonparametric estimation of probabilities and probability densities
• A Comparative Study of Kernel-Based Density Estimates for Categorical Data
• Multivariate binary discrimination by the kernel method
• Empirical Bayes methods for two-way contingency tables
• Nonparametric Roughness Penalties for Probability Densities
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