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題名 Two-step series estimation and specification testing of (partially) linear models with generated regressors
作者 廖仁哲
Liao, Jen-Che
Hsu, Yu-Chin;Lin, Eric S.
貢獻者 經濟系
關鍵詞 Linear and nonlinear generated regressors; partially linear model; semiparametric linear model; series estimation; specification tests
日期 2022-08
上傳時間 21-九月-2022 11:04:28 (UTC+8)
摘要 This paper studies three semiparametric models that are useful and frequently encountered in applied econometric work—a linear and two partially linear specifications with generated regressors, i.e., the regressors that are unobserved, but can be nonparametrically estimated from the data. Our framework allows for generated regressors to appear in linear or nonlinear components of partially linear models. We propose two-step series estimators for the finite-dimensional parameters, establish their n−−√-consistency (with sample size n) and asymptotic normality, and provide the asymptotic variance formulae that take into account the estimation error of generated regressors. Moreover, we develop a nonparametric specification test for the models considered. Numerical performances of the proposed estimators and test via simulation experiments and an empirical application illustrate the utility of our approach.
關聯 Econometric Reviews, Vol.41, No.9, pp.985-1007
資料類型 article
DOI https://doi.org/10.1080/07474938.2022.2082169
dc.contributor 經濟系-
dc.creator (作者) 廖仁哲-
dc.creator (作者) Liao, Jen-Che-
dc.creator (作者) Hsu, Yu-Chin;Lin, Eric S.-
dc.date (日期) 2022-08-
dc.date.accessioned 21-九月-2022 11:04:28 (UTC+8)-
dc.date.available 21-九月-2022 11:04:28 (UTC+8)-
dc.date.issued (上傳時間) 21-九月-2022 11:04:28 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/141998-
dc.description.abstract (摘要) This paper studies three semiparametric models that are useful and frequently encountered in applied econometric work—a linear and two partially linear specifications with generated regressors, i.e., the regressors that are unobserved, but can be nonparametrically estimated from the data. Our framework allows for generated regressors to appear in linear or nonlinear components of partially linear models. We propose two-step series estimators for the finite-dimensional parameters, establish their n−−√-consistency (with sample size n) and asymptotic normality, and provide the asymptotic variance formulae that take into account the estimation error of generated regressors. Moreover, we develop a nonparametric specification test for the models considered. Numerical performances of the proposed estimators and test via simulation experiments and an empirical application illustrate the utility of our approach.-
dc.format.extent 109 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Econometric Reviews, Vol.41, No.9, pp.985-1007-
dc.subject (關鍵詞) Linear and nonlinear generated regressors; partially linear model; semiparametric linear model; series estimation; specification tests-
dc.title (題名) Two-step series estimation and specification testing of (partially) linear models with generated regressors-
dc.type (資料類型) article-
dc.identifier.doi (DOI) 10.1080/07474938.2022.2082169-
dc.doi.uri (DOI) https://doi.org/10.1080/07474938.2022.2082169-