Asymptotic efficiency of classifying procedures using the Hermite series estimate of multivariate probability densities (Corresp.)

DOI10.1109/TIT.1981.1056345zbMath0465.62049MaRDI QIDQ3917341

Włodzimierz Greblicki

Publication date: 1981

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

zbMATH Keywords

classificationpattern recognitiondensity estimationmean integrated square errorprobability of misclassificationBayes probability of errorHermite series estimatemultivariate densities

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Nonparametric estimation (62G05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (5)

Convergence of Hermite Series Density Estimators Under Conditions of Weak Dependence ⋮ Wavelet‐based estimation of a discriminant function ⋮ Wavelet-based estimation of generalized discriminant functions ⋮ A classification procedure using the multiple Fourier series ⋮ Hermite series estimates of a probability density and its derivatives

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