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On least-squares bias in the AR(p) models: Bias correction using the bootstrap methods

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  • Hisashi Tanizaki
  • Shigeyuki Hamori
  • Yoichi Matsubayashi

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  • Hisashi Tanizaki & Shigeyuki Hamori & Yoichi Matsubayashi, 2006. "On least-squares bias in the AR(p) models: Bias correction using the bootstrap methods," Statistical Papers, Springer, vol. 47(1), pages 109-124, January.
    • Handle: RePEc:spr:stpapr:v:47:y:2006:i:1:p:109-124
    DOI: 10.1007/s00362-005-0275-6
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    References listed on IDEAS

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    1. Peters, Thomas A., 1989. "The exact moments of ols in dynamic regression models with non-normal errors," Journal of Econometrics, Elsevier, vol. 40(2), pages 279-305, February.
    2. Andrews, Donald W K & Chen, Hong-Yuan, 1994. "Approximately Median-Unbiased Estimation of Autoregressive Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 187-204, April.
    3. Tanizaki, Hisashi, 2000. "Bias correction of OLSE in the regression model with lagged dependent variables," Computational Statistics & Data Analysis, Elsevier, vol. 34(4), pages 495-511, October.
    4. Tsui, Albert K. & Ali, Mukhtar M., 1994. "Exact distributions, density functions and moments of the last squares estimator in a first-order autoregressive model," Computational Statistics & Data Analysis, Elsevier, vol. 17(4), pages 433-454, May.
    5. MacKinnon, James G. & Smith Jr., Anthony A., 1998. "Approximate bias correction in econometrics," Journal of Econometrics, Elsevier, vol. 85(2), pages 205-230, August.
    6. Tse, Y. K., 1982. "Edgeworth approximations in first-order stochastic difference equations with exogenous variables," Journal of Econometrics, Elsevier, vol. 20(2), pages 175-195, November.
    7. Abadir, Karim M., 1993. "Ols Bias in a Nonstationary Autoregression," Econometric Theory, Cambridge University Press, vol. 9(1), pages 81-93, January.
    8. Orcutt, Guy H & Winokur, Herbert S, Jr, 1969. "First Order Autoregression: Inference, Estimation, and Prediction," Econometrica, Econometric Society, vol. 37(1), pages 1-14, January.
    9. Andrews, Donald W K, 1993. "Exactly Median-Unbiased Estimation of First Order Autoregressive/Unit Root Models," Econometrica, Econometric Society, vol. 61(1), pages 139-165, January.
    10. Grubb, David & Symons, James, 1987. "Bias in Regressions With a Lagged Dependent Variable," Econometric Theory, Cambridge University Press, vol. 3(3), pages 371-386, June.
    11. Maekawa, Koichi, 1987. "Finite Sample Properties of Several Predictors From an Autoregressive Model," Econometric Theory, Cambridge University Press, vol. 3(3), pages 359-370, June.
    12. Maekawa, Koichi, 1983. "An Approximation to the Distribution of the Least Squares Estimator in an Autoregressive Model with Exogenous Variables," Econometrica, Econometric Society, vol. 51(1), pages 229-238, January.
    13. Sawa, Takamitsu, 1978. "The exact moments of the least squares estimator for the autoregressive model," Journal of Econometrics, Elsevier, vol. 8(2), pages 159-172, October.
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    Cited by:

    1. Hevia, Constantino, 2012. "Using pooled information and bootstrap methods to assess debt sustainability in low income countries," Policy Research Working Paper Series 5978, The World Bank.
    2. Tamer Elbayoumi & Sayed Mostafa, 2024. "Bias Analysis and Correction in Weighted- L 1 Estimators for the First-Order Bifurcating Autoregressive Model," Stats, MDPI, vol. 7(4), pages 1-18, October.
    3. Wang, Shaoping & Li, Yanglin & Wen, Kuangyu, 2021. "Recursive adjusted unit root tests under non-stationary volatility," Economics Letters, Elsevier, vol. 205(C).
    4. Christopher Withers & Saralees Nadarajah, 2013. "Calibration with low bias," Statistical Papers, Springer, vol. 54(2), pages 371-379, May.
    5. Sergio Alvarez-Andrade & Salim Bouzebda, 2014. "Asymptotic results for hybrids of empirical and partial sums processes," Statistical Papers, Springer, vol. 55(4), pages 1121-1143, November.
    6. Veiga, Helena, 2015. "Model uncertainty and the forecast accuracy of ARMA models: A survey," DES - Working Papers. Statistics and Econometrics. WS ws1508, Universidad Carlos III de Madrid. Departamento de Estadística.

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