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Adaptive Rules for Seminonparametric Estimators That Achieve Asymptotic Normality

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  • Eastwood, Brian J.
  • Gallant, A. Ronald

Abstract

In econometrics, seminonparametric (SNP) estimators originated in the consumer demand literature. The Fourier flexible form is a well-known example. The idea is to replace the consumer's indirect utility function with a truncated series expansion and then use a parametric procedure, such as nonlinear multivariate regression, to set a confidence interval on an elasticity. More recently, SNP estimators have been used in nonlinear time series analysis. A truncated Hermite expansion with an ARCH leading term is used as the conditional density of the process. The method of maximum likelihood is used to fit it to data.

Suggested Citation

  • Eastwood, Brian J. & Gallant, A. Ronald, 1991. "Adaptive Rules for Seminonparametric Estimators That Achieve Asymptotic Normality," Econometric Theory, Cambridge University Press, vol. 7(03), pages 307-340, September.
  • Handle: RePEc:cup:etheor:v:7:y:1991:i:03:p:307-340_00
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    1. Newey, Whitney K, 1985. "Maximum Likelihood Specification Testing and Conditional Moment Tests," Econometrica, Econometric Society, vol. 53(5), pages 1047-1070, September.
    2. K. Newey, Whitney, 1985. "Generalized method of moments specification testing," Journal of Econometrics, Elsevier, vol. 29(3), pages 229-256, September.
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    Cited by:

    1. Gao, Jiti & Tong, Howell & Wolff, Rodney, 2002. "Model Specification Tests in Nonparametric Stochastic Regression Models," Journal of Multivariate Analysis, Elsevier, vol. 83(2), pages 324-359, November.
    2. Bernardo Maggi & Stefania P. S. Rossi, 2003. "An efficiency analysis of banking systems: a comparison of European and United States large commercial banks using different functional forms," Vienna Economics Papers 0306, University of Vienna, Department of Economics.
    3. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    4. Belloni, Alexandre & Chernozhukov, Victor & Chetverikov, Denis & Kato, Kengo, 2015. "Some new asymptotic theory for least squares series: Pointwise and uniform results," Journal of Econometrics, Elsevier, vol. 186(2), pages 345-366.
    5. Fenton, Victor M. & Gallant, A. Ronald, 1996. "Qualitative and asymptotic performance of SNP density estimators," Journal of Econometrics, Elsevier, vol. 74(1), pages 77-118, September.
    6. Serletis, Apostolos & Shahmoradi, Asghar, 2008. "Semi-nonparametric estimates of interfuel substitution in U.S. energy demand," Energy Economics, Elsevier, vol. 30(5), pages 2123-2133, September.
    7. Harry J. Paarsch & Bjarne Brendstrup, 2004. "Nonparametric Identification and Estimation of Multi-Unit, Sequential, Oral, Ascending-Price Auctions With Asymmetric Bidders," Working Papers 2004.11, Fondazione Eni Enrico Mattei.
    8. Elisa Fusco & Bernardo Maggi, 2016. "Bank Financial world crisis: Inefficiencies and Responsibilities," DSS Empirical Economics and Econometrics Working Papers Series 2016/2, Centre for Empirical Economics and Econometrics, Department of Statistics, "Sapienza" University of Rome.
    9. Gilleskie, Donna B. & Mroz, Thomas A., 2004. "A flexible approach for estimating the effects of covariates on health expenditures," Journal of Health Economics, Elsevier, vol. 23(2), pages 391-418, March.
    10. Mroz, Thomas A., 1999. "Discrete factor approximations in simultaneous equation models: Estimating the impact of a dummy endogenous variable on a continuous outcome," Journal of Econometrics, Elsevier, vol. 92(2), pages 233-274, October.
    11. Chen, Xiaohong & Liao, Zhipeng, 2014. "Sieve M inference on irregular parameters," Journal of Econometrics, Elsevier, vol. 182(1), pages 70-86.
    12. Carrasco, Marine, 2012. "A regularization approach to the many instruments problem," Journal of Econometrics, Elsevier, vol. 170(2), pages 383-398.
    13. Bernardo Maggi & Marco Guida, 2011. "Modelling non-performing loans probability in the commercial banking system: efficiency and effectiveness related to credit risk in Italy," Empirical Economics, Springer, vol. 41(2), pages 269-291, October.
    14. Tai-Hsin Huang & Mei-Hui Wang, 2004. "Estimation of scale and scope economies in multiproduct banking: evidence from the Fourier flexible functional form with panel data," Applied Economics, Taylor & Francis Journals, vol. 36(11), pages 1245-1253.
    15. Coppejans, Mark & Gallant, A. Ronald, 2002. "Cross-validated SNP density estimates," Journal of Econometrics, Elsevier, vol. 110(1), pages 27-65, September.
    16. Donna B. Gilleskie & Thomas A. Mroz, 2000. "Estimating the Effects of Covariates on Health Expenditures," NBER Working Papers 7942, National Bureau of Economic Research, Inc.
    17. Serletis, Apostolos & Shahmoradi, Asghar, 2010. "Consumption effects of government purchases," Journal of Macroeconomics, Elsevier, vol. 32(3), pages 892-905, September.
    18. Carlos Renato De Melo Castro & Geraldo Da Silva E Souza & Maria Eduarda Tannuri-Pianto, 2016. "Gastos Em Educação: Mais Recursos Sem Gestão?," Anais do XLIII Encontro Nacional de Economia [Proceedings of the 43rd Brazilian Economics Meeting] 072, ANPEC - Associação Nacional dos Centros de Pósgraduação em Economia [Brazilian Association of Graduate Programs in Economics].
    19. Kyoo il Kim, 2006. "Uniform Convergence Rate of the SNP Density Estimator and Testing for Similarity of Two Unknown Densities," Working Papers 20-2006, Singapore Management University, School of Economics.
    20. Guohua Feng & Apostolos Serletis, 2009. "Efficiency and productivity of the US banking industry, 1998-2005: evidence from the Fourier cost function satisfying global regularity conditions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(1), pages 105-138.
    21. Chen, Heng Z. & Randall, Alan, 1997. "Semi-nonparametric estimation of binary response models with an application to natural resource valuation," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 323-340.
    22. Newey, Whitney K., 1997. "Convergence rates and asymptotic normality for series estimators," Journal of Econometrics, Elsevier, vol. 79(1), pages 147-168, July.
    23. Brendstrup, Bjarne & Paarsch, Harry J., 2006. "Identification and estimation in sequential, asymmetric, English auctions," Journal of Econometrics, Elsevier, vol. 134(1), pages 69-94, September.

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