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Asymptotic properties of general autoregressive models and strong consistency of least-squares estimates of their parameters

Citations

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Cited by:

  1. Mohamad Kazem Shirani Faradonbeh & Ambuj Tewari & George Michailidis, 2017. "Finite Time Identification in Unstable Linear Systems," Papers 1710.01852, arXiv.org, revised Jun 2018.
  2. Victor Konev & Bogdan Nazarenko, 2020. "Sequential fixed accuracy estimation for nonstationary autoregressive processes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 72(1), pages 235-264, February.
  3. Alessandro Casini & Pierre Perron, 2018. "Continuous Record Asymptotics for Change-Points Models," Papers 1803.10881, arXiv.org, revised Nov 2021.
  4. Monsour, Michael J. & Mikulski, Piotr W., 1998. "On limiting distributions in explosive autoregressive processes," Statistics & Probability Letters, Elsevier, vol. 37(2), pages 141-147, February.
  5. Marie Badreau & Frédéric Proïa, 2023. "Consistency and asymptotic normality in a class of nearly unstable processes," Statistical Inference for Stochastic Processes, Springer, vol. 26(3), pages 619-641, October.
  6. Cho, Haeran & Fryzlewicz, Piotr, 2023. "Multiple change point detection under serial dependence: wild contrast maximisation and gappy Schwarz algorithm," LSE Research Online Documents on Economics 120085, London School of Economics and Political Science, LSE Library.
  7. Norbert Christopeit & Michael Massmann, 2017. "Strong consistency of the least squares estimator in regression models with adaptive learning," WHU Working Paper Series - Economics Group 17-07, WHU - Otto Beisheim School of Management.
  8. Truong-Van, B., 1997. "Iterated logarithm law for sample generalized partial autocorrelations," Statistics & Probability Letters, Elsevier, vol. 33(2), pages 217-223, April.
  9. Firmin Doko Tchatoka & Qazi Haque, 2023. "On bootstrapping tests of equal forecast accuracy for nested models," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 42(7), pages 1844-1864, November.
  10. repec:ebl:ecbull:v:3:y:2007:i:38:p:1-11 is not listed on IDEAS
  11. Ye Chen & Jian Li & Qiyuan Li, 2023. "Seemingly Unrelated Regression Estimation for VAR Models with Explosive Roots," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 85(4), pages 910-937, August.
  12. Galtchouk, L. & Konev, V., 2004. "On uniform asymptotic normality of sequential least squares estimators for the parameters in a stable AR(p)," Journal of Multivariate Analysis, Elsevier, vol. 91(2), pages 119-142, November.
  13. Alessandro Casini & Pierre Perron, 2015. "Continuous Record Asymptotics for Structural Change Models," Boston University - Department of Economics - Working Papers Series WP2018-010, Boston University - Department of Economics, revised Nov 2017.
  14. Peter C.B. Phillips & Werner Ploberger, 1992. "Time Series Modeling with a Bayesian Frame of Reference: Concepts, Illustrations and Asymptotics," Cowles Foundation Discussion Papers 1038, Cowles Foundation for Research in Economics, Yale University.
  15. Norbert Christopeit & Michael Massmann, 2018. "Strong consistency of the least squares estimator in regression models with adaptive learning," Tinbergen Institute Discussion Papers 18-045/III, Tinbergen Institute.
  16. Atsushi Inoue & Lutz Kilian, 2002. "Bootstrapping Autoregressive Processes with Possible Unit Roots," Econometrica, Econometric Society, vol. 70(1), pages 377-391, January.
  17. Datta, Somnath, 1995. "Limit theory and bootstrap for explosive and partially explosive autoregression," Stochastic Processes and their Applications, Elsevier, vol. 57(2), pages 285-304, June.
  18. Mohamed Boutahar, 2002. "General Autoregressive Models with Long-Memory Noise," Statistical Inference for Stochastic Processes, Springer, vol. 5(3), pages 321-333, October.
  19. Victor V. Konev & Sergey E. Vorobeychikov, 2022. "Fixed accuracy estimation of parameters in a threshold autoregressive model," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 74(4), pages 685-711, August.
  20. B. Nielsen & N. Shephard, 2003. "Likelihood analysis of a first‐order autoregressive model with exponential innovations," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(3), pages 337-344, May.
  21. Monsour, Michael J., 2016. "Decomposition of an autoregressive process into first order processes," Journal of Multivariate Analysis, Elsevier, vol. 147(C), pages 295-314.
  22. Bai, Jushan, 2004. "Estimating cross-section common stochastic trends in nonstationary panel data," Journal of Econometrics, Elsevier, vol. 122(1), pages 137-183, September.
  23. Bercu, B., 2004. "On the convergence of moments in the almost sure central limit theorem for martingales with statistical applications," Stochastic Processes and their Applications, Elsevier, vol. 111(1), pages 157-173, May.
  24. João Lita da Silva, 2014. "Strong consistency of least squares estimates in multiple regression models with random regressors," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(3), pages 361-375, April.
  25. Proïa, Frédéric, 2013. "Further results on the h-test of Durbin for stable autoregressive processes," Journal of Multivariate Analysis, Elsevier, vol. 118(C), pages 77-101.
  26. Jamel JOUINI & Mohamed BOUTAHAR, 2007. "Spuriousness of information criteria when selecting the number of breaks in stationary AR(p) process," Economics Bulletin, AccessEcon, vol. 3(38), pages 1-11.
  27. Galtchouk, Leonid & Konev, Victor, 2010. "On asymptotic normality of sequential LS-estimate for unstable autoregressive process AR(2)," Journal of Multivariate Analysis, Elsevier, vol. 101(10), pages 2616-2636, November.
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