Multivariate thin plate spline estimates for the posterior probabilities in the classification problem

DOI10.1080/03610928308828544zbMath0552.62023OpenAlexW2009703378MaRDI QIDQ3345591

Miguel A. Villalobos, Grace Wahba

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/03610928308828544

zbMATH Keywords

classificationdiscriminationgeneralized cross-validationpenalized log-likelihooddegree of smoothnessposterior probabilitiesmultivariate thin plate splines

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Nonparametric estimation (62G05)

Related Items (2)

Classification using splines ⋮ Smoothing splines using compactly supported, positive definite, radial basis functions

Cites Work

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• Data-based optimal smoothing of orthogonal series density estimates
• On the estimation of a probability density function by the maximum penalized likelihood method
• Some results on Tchebycheffian spline functions and stochastic processes
• Discriminatory Analysis. Nonparametric Discrimination: Consistency Properties
• A simulative comparison of linear, quadratic and kernel discrimination
• Penalized maximum likelihood estimation in logistic regression and discrimination
• Partial likelihood
• Discriminant Analysis
• Separate sample logistic discrimination

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