Bivariate B-splines for tensor logspline density estimation

DOI10.1016/0167-9473(95)00003-8zbMath0900.62193OpenAlexW2022877762MaRDI QIDQ1351843

Ja-Yong Koo

Publication date: 27 February 1997

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-9473(95)00003-8

zbMATH Keywords

Maximum likelihood estimationExponential familyBICMultivariate density estimationStepwise knot deletionTELDETensor-product B-splines

Mathematics Subject Classification ID

Density estimation (62G07) Estimation in multivariate analysis (62H12) Numerical computation using splines (65D07)

Related Items (12)

Nonparametric density estimation and bandwidth selection with B-spline bases: a novel Galerkin method ⋮ Adaptive log-density estimation ⋮ Penalized log-density estimation using Legendre polynomials ⋮ Nonparametric density estimation with nonuniform B-spline bases ⋮ Spline local basis methods for nonparametric density estimation ⋮ Logspline density estimation for binned data ⋮ Bayesian expectation maximization algorithm by using B-splines functions: application in image segmentation ⋮ Partially monotone tensor spline estimation of the joint distribution function with bivariate current status data ⋮ Log-density estimation in linear inverse problems ⋮ NONPARAMETRIC DENSITY ESTIMATION BY B-SPLINE DUALITY ⋮ Convergence rates for logspline tomography ⋮ Flexible Copula Density Estimation with Penalized Hierarchical B-splines

Cites Work

• Large-sample inference for log-spline models
• Multivariate adaptive regression splines
• Estimating the dimension of a model
• A practical guide to splines
• The use of polynomial splines and their tensor products in multivariate function estimation. (With discussion)
• A study of logspline density estimation
• Recent Developments in Nonparametric Density Estimation
• Hypothesis testing in b-spline regression
• Variable Kernel Estimates of Multivariate Densities
• Fast Computation of Fully Automated Log-Density and Log-Hazard Estimators
• Bivariate B-splines in generalised linear models
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