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https://doi.org/10.1093/biomet/91.3.661
Title: | Efficient estimation for semivarying-coefficient models | Authors: | Xia, Y. Zhang, W. Tong, H. |
Keywords: | Efficient estimator Local linear Semivarying-coefficient model Strong α-mixing Varying-coefficient model |
Issue Date: | 2004 | Citation: | Xia, Y., Zhang, W., Tong, H. (2004). Efficient estimation for semivarying-coefficient models. Biometrika 91 (3) : 661-681. ScholarBank@NUS Repository. https://doi.org/10.1093/biomet/91.3.661 | Abstract: | Motivated by two practical problems, we propose a new procedure for estimating a semivarying-coefficient model. Asymptotic properties are established which show that the bias of the parameter estimator is of order h3 when a symmetric kernel is used, where h is the bandwidth, and the variance is of order n-1 and efficient in the semiparametric sense. Undersmoothing is unnecessary for the root-n consistency of the estimators. Therefore, commonly used bandwidth selection methods can be employed. A model selection method is also developed. Simulations demonstrate how the proposed method works. Some insights are obtained into the two motivating problems by using the proposed models. © 2004 Biometrika Trust. | Source Title: | Biometrika | URI: | http://scholarbank.nus.edu.sg/handle/10635/105110 | ISSN: | 00063444 | DOI: | 10.1093/biomet/91.3.661 |
Appears in Collections: | Staff Publications |
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