Nonparametric estimation of triangular simultaneous equations models

Article Abstract:

A simple two-step nonparametric estimator was proposed for a triangular simultaneous equation model. The proposed estimator, which utilizes series approximations that exploit the model's additive structure, initially involves the nonparametric estimation of the reduced form and the corresponding residuals followed by estimation of primary equation through nonparametric regression. Unlike other conventional nonparametric regression approaches, the two-step nonparametric estimator treats structural model as the object of estimation.

Econometrics & Model Building, Estimation theory, Nonparametric statistics, Business models

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Nonparametric estimation of exact consumers surplus and deadweight loss

Article Abstract:

Econometric demand curves are characterized using nonparametric regression models to obtain estimates of two welfare economic efficiency criteria, exact consumers surplus and deadweight loss. The results are applied to gasoline demand to determine the demand curve's pattern and the average magnitude of welfare loss from a gasoline tax. This required a comparison between parametric and nonparametric estimates of the demand curve as well as exact and approximate measures of the two variables.

Welfare economics, Demand functions (Economics), Demand functions

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Nonparametric and semiparametric estimation with discrete regressors

Article Abstract:

The impact of discrete regressors in nonparametric and semiparametric estimation of regression models is considered. Specifically, it is determined that semiparameter estimates are asymptotically equivalent up to the first order when they based on nonsmoothing and k-nearest neighbors weights. In addition, a Central Limit Theorem which eliminates the need for independence between regressors and regression errors is formulated.

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