JSM 2011 Online Program

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Abstract Details

Activity Number: 346
Type: Contributed
Date/Time: Tuesday, August 2, 2011 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #301024
Title: The Efficiency of the Second-Order Nonlinear Least Squares Estimator and Its Extension
Author(s): Mi Jeong Kim*+
Companies: Texas A & M University
Address: Department of Statistics, College Station, TX, 77843,
Keywords: Second-order least squares estimator ; heteroscedasticity ; moments ; semiparametric methods
Abstract:

We revisit the second-order nonlinear least square estimator proposed in Wang and Leblanc (2008) and show that the estimator reaches the asymptotic optimality concerning the estimation variability. Using a fully semiparametric approach, we further modify and extend the method to the heteroscedastic error models and propose a semiparametric efficient estimator in this more general setting. Numerical results are provided to support the results and illustrate the finite sample performance of the proposed estimator.


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