Estimation of Derivatives for Additive Separable Models

DOI10.1080/02331889908802693zbMath0938.62044OpenAlexW3122744407MaRDI QIDQ4943277

Eric Severance-Lossin, Stefan Sperlich

Publication date: 13 June 2000

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331889908802693

zbMATH Keywords

additive modelsderivative estimationproduction function estimation

Mathematics Subject Classification ID

Applications of statistics to economics (62P20) Nonparametric regression and quantile regression (62G08) Production models (90B30) Production theory, theory of the firm (91B38)

Related Items (9)

Local polynomial estimation of nonparametric simultaneous equations models ⋮ Derivative estimation and testing in generalized additive models ⋮ Marginal integration \(M\)-estimators for additive models ⋮ Integration and backfitting methods in additive models -- finite sample properties and comparison ⋮ Local polynomial inference for small area statistics: estimation, validation and prediction ⋮ An efficient marginal integration estimator of a semiparametric additive modelling ⋮ Testing additivity in generalized nonparametric regression models with estimated parameters ⋮ Modeling heterogeneity: a praise for varying-coefficient models in causal analysis ⋮ Rate optimal estimation with the integration method in the presence of many covariates

Cites Work

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• The dimensionality reduction principle for generalized additive models
• Additive regression and other nonparametric models
• Local polynomial regression: Optimal kernels and asymptotic minimax efficiency
• Direct estimation of low-dimensional components in additive models.
• Jackknife, bootstrap and other resampling methods in regression analysis
• Integration and backfitting methods in additive models -- finite sample properties and comparison
• A kernel method of estimating structured nonparametric regression based on marginal integration
• Introduction to a Theory of the Internal Structure of Functional Relationships

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