Multi-stage nonparametric estimation of density function using orthonormal systems

DOI10.1016/0047-259X(85)90080-6zbMath0568.62039MaRDI QIDQ1060510

P. R. Krishnaiah, Wen-Qi Liang

Publication date: 1985

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

iterative procedurepattern recognitionreliabilitysurvival analysisdensity estimationasymptotic mean integrated square error

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Nonparametric estimation (62G05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Cites Work

• Hermite series estimates of a probability density and its derivatives
• Addendum to ``Properties of Hermite series estimation of probability density
• Characterization of a class of bivariate distribution functions
• Comparison of two orthogonal series methods of estimating a density and its derivatives on an interval
• A class of orthogonal polynomials
• Estimation of Probability Density by an Orthogonal Series
• Asymptotically optimal discriminant functions for pattern classification
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