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Second-order nonlinear least squares estimation

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  • Liqun Wang
  • Alexandre Leblanc

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  • Liqun Wang & Alexandre Leblanc, 2008. "Second-order nonlinear least squares estimation," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(4), pages 883-900, December.
    • Handle: RePEc:spr:aistmt:v:60:y:2008:i:4:p:883-900
    DOI: 10.1007/s10463-007-0139-z
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    References listed on IDEAS

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    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Panayiotis Theodossiou, 1998. "Financial Data and the Skewed Generalized T Distribution," Management Science, INFORMS, vol. 44(12-Part-1), pages 1650-1661, December.
    3. Amemiya, Takeshi, 1973. "Regression Analysis when the Dependent Variable is Truncated Normal," Econometrica, Econometric Society, vol. 41(6), pages 997-1016, November.
    4. A. Azzalini & A. Capitanio, 1999. "Statistical applications of the multivariate skew normal distribution," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(3), pages 579-602.
    5. Alan Hutson, 2004. "Utilizing the Flexibility of the Epsilon-Skew-Normal Distribution for Common Regression Problems," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(6), pages 673-683.
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    Cited by:

    1. S. Huda & Rahul Mukerjee, 2018. "Optimal designs with string property under asymmetric errors and SLS estimation," Statistical Papers, Springer, vol. 59(3), pages 1255-1268, September.
    2. Cheng Maolin & Jiang Zedi, 2016. "A New Class of Production Function Model and Its Application," Journal of Systems Science and Information, De Gruyter, vol. 4(2), pages 177-185, April.
    3. Maria Karlsson & Thomas Laitila, 2014. "Finite mixture modeling of censored regression models," Statistical Papers, Springer, vol. 55(3), pages 627-642, August.
    4. Mustafa Salamh & Liqun Wang, 2021. "Second-Order Least Squares Estimation in Nonlinear Time Series Models with ARCH Errors," Econometrics, MDPI, vol. 9(4), pages 1-17, November.
    5. Taraneh Abarin & Liqun Wang, 2012. "Instrumental variable approach to covariate measurement error in generalized linear models," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(3), pages 475-493, June.
    6. Wang, Liqun & Hsiao, Cheng, 2011. "Method of moments estimation and identifiability of semiparametric nonlinear errors-in-variables models," Journal of Econometrics, Elsevier, vol. 165(1), pages 30-44.
    7. Dedi Rosadi & Shelton Peiris, 2014. "Second-order least-squares estimation for regression models with autocorrelated errors," Computational Statistics, Springer, vol. 29(5), pages 931-943, October.
    8. Lucy L. Gao & Julie Zhou, 2017. "D-optimal designs based on the second-order least squares estimator," Statistical Papers, Springer, vol. 58(1), pages 77-94, March.
    9. Xin Chen & Min Tsao & Julie Zhou, 2012. "Robust second-order least-squares estimator for regression models," Statistical Papers, Springer, vol. 53(2), pages 371-386, May.
    10. Mustafa Salamh & Liqun Wang, 2021. "Second-Order Least Squares Method for Dynamic Panel Data Models with Application," JRFM, MDPI, vol. 14(9), pages 1-19, September.
    11. Fei Jiang & Yanyuan Ma & J. Jack Lee, 2017. "A second-order semiparametric method for survival analysis, with application to an acquired immune deficiency syndrome clinical trial study," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 66(4), pages 833-846, August.
    12. Chi-Kuang Yeh & Julie Zhou, 2021. "Properties of optimal regression designs under the second-order least squares estimator," Statistical Papers, Springer, vol. 62(1), pages 75-92, February.
    13. Cheng Maolin, 2016. "A Generalized Constant Elasticity of Substitution Production Function Model and Its Application," Journal of Systems Science and Information, De Gruyter, vol. 4(3), pages 269-279, June.
    14. D. Rosadi & P. Filzmoser, 2019. "Robust second-order least-squares estimation for regression models with autoregressive errors," Statistical Papers, Springer, vol. 60(1), pages 105-122, February.
    15. He, Lei, 2018. "Optimal designs for multi-factor nonlinear models based on the second-order least squares estimator," Statistics & Probability Letters, Elsevier, vol. 137(C), pages 201-208.
    16. Francesco Bravo, 2013. "Partially linear varying coefficient models with missing at random responses," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(4), pages 721-762, August.
    17. Cheng Maolin & Shi Guojun & Han Yun, 2019. "A Modified CES Production Function Model and Its Application in Calculating the Contribution Rate of Energy and Other Influencing Factors to Economic Growth," Journal of Systems Science and Information, De Gruyter, vol. 7(2), pages 161-172, April.
    18. Mijeong Kim & Yanyuan Ma, 2012. "The efficiency of the second-order nonlinear least squares estimator and its extension," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(4), pages 751-764, August.
    19. Xin Wang & Lingchen Kong & Liqun Wang, 2022. "Estimation of Error Variance in Regularized Regression Models via Adaptive Lasso," Mathematics, MDPI, vol. 10(11), pages 1-19, June.
    20. Maolin Cheng, 2019. "A Grey CES Production Function Model and Its Application in Calculating the Contribution Rate of Economic Growth Factors," Complexity, Hindawi, vol. 2019, pages 1-8, April.
    21. Lei He & Rong-Xian Yue, 2022. "$$I_L$$ I L -optimal designs for regression models under the second-order least squares estimator," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 85(1), pages 53-66, January.

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