A filtered polynomial approach to density estimation

DOI10.1007/S00180-007-0070-ZzbMath1223.62033OpenAlexW1983143079MaRDI QIDQ626213

Dominik Heinzmann

Publication date: 22 February 2011

Published in: Computational Statistics (Search for Journal in Brave)

Full work available at URL: https://www.zora.uzh.ch/id/eprint/8651/10/ZORA_NL_8651.pdf

zbMATH Keywords

maximum likelihood estimationNewton-Raphson algorithmmonotone polynomials

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Density estimation (62G07) Numerical smoothing, curve fitting (65D10)

Related Items (5)

Maximum marginal likelihood estimation of a monotonic polynomial generalized partial credit model with applications to multiple group analysis ⋮ Fast and flexible methods for monotone polynomial fitting ⋮ A flexible latent trait model for response times in tests ⋮ Revisiting fitting monotone polynomials to data ⋮ Bayesian isotonic logistic regression via constrained splines: an application to estimating the serve advantage in professional tennis

Uses Software

• R
• Algorithm 719

Cites Work

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• Model selection and Akaike's information criterion (AIC): The general theory and its analytical extensions
• Error analysis for the Newton-Raphson method
• TWO PROPERTIES OF SPHERICAL HARMONICS
• Classification via kernel product estimators
• Algorithm 719: Multiprecision translation and execution of FORTRAN programs
• A kernel method of estimating structured nonparametric regression based on marginal integration
• A method for the solution of certain non-linear problems in least squares

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