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On asymptotic normality of sequential LS-estimate for unstable autoregressive process AR(2). (2010). Konev, Victor ; Galtchouk, Leonid .
In: Journal of Multivariate Analysis.
RePEc:eee:jmvana:v:101:y:2010:i:10:p:2616-2636.

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  1. Sequential test for unit root in AR(1) model. (2018). Nishiyama, Yoshihiko ; Hitomi, Kohtaro ; Nagai, Keiji.
    In: KIER Working Papers.
    RePEc:kyo:wpaper:1003.

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References

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  8. Greenwood, P. ; Shiryaev, A. Asymptotic minimaxity of a sequential estimator for a first order autoregressive model. 1992 Stoch. Stoch. Rep.. 38 49-65
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  9. Greenwood, P. ; Wefelmeyer, W. Asymptotic minimax results for stochastic process families with critical points. 1993 Stochastic Process. Appl.. 44 107-116

  10. Helland, I.S. Central limit theorems for martingales with discrete and continuous time. 1982 Scand. J. Statist.. 9 79-94
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  11. Jeganathan, P. On the asymptotic behavior of least-squares estimators in AR time series with roots near the unit circle. 1991 Econometric Theory. 7 269-306

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  13. Kallenberg, O. Foundations of Modern Probability. 1997 Springer: New York
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  14. Lai, T.L. ; Siegmund, D. Fixed-accuracy estimation of an autoregressive parameter. 1983 Ann. Statist.. 11 478-485
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  15. Lai, T.L. ; Wei, C.Z. Asymptotic properties of general autoregressive models and strong consistency of least squares estimates of their parameters. 1983 J. Multivariate Anal.. 13 1-23

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  17. Shiryaev, A.N. Probability. 1996 Springer: New York
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  18. White, J.S. The limiting distribution of the serial correlation coefficient in the explosive case. 1958 Ann. Math. Statist.. 29 1188-1197
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Cocites

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  2. Trends and cycles in macro series: The case of US real GDP. (2022). Gil-Alana, Luis ; Caporale, Guglielmo Maria ; Gilalana, Luis Alberiko.
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  3. Persistence and cyclical dynamics of US and UK house prices: Evidence from over 150 years of data. (2021). Miller, Stephen ; GUPTA, RANGAN ; Gil-Alana, Luis ; Canarella, Giorgio.
    In: Urban Studies.
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  4. Sequential fixed accuracy estimation for nonstationary autoregressive processes. (2020). Konev, Victor ; Nazarenko, Bogdan.
    In: Annals of the Institute of Statistical Mathematics.
    RePEc:spr:aistmt:v:72:y:2020:i:1:d:10.1007_s10463-018-0689-2.

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  5. Two-mode network autoregressive model for large-scale networks. (2020). Zhu, Xuening ; Wang, Hansheng ; Huang, Danyang.
    In: Journal of Econometrics.
    RePEc:eee:econom:v:216:y:2020:i:1:p:203-219.

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  6. Persistence in trends and cycles of gold and silver prices: Evidence from historical data. (2019). GUPTA, RANGAN ; Gil-Alana, Luis ; Cuñado, Juncal ; Cunado, Juncal.
    In: Physica A: Statistical Mechanics and its Applications.
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  7. Persistence and cycles in the us federal funds rate. (2017). Gil-Alana, Luis ; Caporale, Guglielmo Maria.
    In: International Review of Financial Analysis.
    RePEc:eee:finana:v:52:y:2017:i:c:p:1-8.

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  8. Decomposition of an autoregressive process into first order processes. (2016). Monsour, Michael J.
    In: Journal of Multivariate Analysis.
    RePEc:eee:jmvana:v:147:y:2016:i:c:p:295-314.

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  9. Numerical distribution functions for seasonal unit root tests. (2014). Díaz-Emparanza, Ignacio ; Diaz-Emparanza, Ignacio.
    In: Computational Statistics & Data Analysis.
    RePEc:eee:csdana:v:76:y:2014:i:c:p:237-247.

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  10. Modelling Long Run Trends and Cycles in Financial Time Series Data. (2012). Gil-Alana, Luis ; Cuñado, Juncal ; Caporale, Guglielmo Maria.
    In: Faculty Working Papers.
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  11. Persistence and Cycles in the US Federal Funds Rate. (2012). Gil-Alana, Luis ; Caporale, Guglielmo Maria.
    In: Discussion Papers of DIW Berlin.
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  12. Persistence and Cycles in the US Federal Funds Rate. (2012). Gil-Alana, Luis ; Caporale, Guglielmo Maria.
    In: CESifo Working Paper Series.
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  13. The Impact of Persistent Cycles on Zero Frequency Unit Root Tests. (2011). Taylor, Robert ; Rodrigues, Paulo ; del Barrio Castro, Tomás ; Tomas del Barrio Castro, ; Paulo M. M. Rodrigues, ; A. M. Robert Taylor, .
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  14. Linear Nonstationary Models : A Review of the Work of Professor P.C.B. Phillips. (2011). Tanaka, Katsuto.
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  15. New evidence for underwriting cycles in US property-liability insurance. (2011). Denuit, Michel ; Lazar, Dorina.
    In: Journal of Risk Finance.
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  16. Numerical Distribution Functions for Seasonal Unit Root Tests. (2011). Díaz-Emparanza, Ignacio ; Herrero, Ignacio Diaz-Emparanza .
    In: BILTOKI.
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  17. On asymptotic normality of sequential LS-estimate for unstable autoregressive process AR(2). (2010). Konev, Victor ; Galtchouk, Leonid .
    In: Journal of Multivariate Analysis.
    RePEc:eee:jmvana:v:101:y:2010:i:10:p:2616-2636.

    Full description at Econpapers || Download paper

  18. Modelling Long-Run Trends and Cycles in Financial Time Series Data. (2008). Gil-Alana, Luis ; Cuñado, Juncal ; Caporale, Guglielmo Maria ; Cunado, Juncal.
    In: CESifo Working Paper Series.
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  19. Efficient tests of the seasonal unit root hypothesis. (2007). Taylor, Robert ; Rodrigues, Paulo.
    In: Journal of Econometrics.
    RePEc:eee:econom:v:141:y:2007:i:2:p:548-573.

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  20. Testing The Existence of Multiple Cycles in Financial and Economic Time Series. (2007). Gil-Alanaa, L. A..
    In: Annals of Economics and Finance.
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  21. Long Run and Cyclical Dynamics in the US Stock Market. (2007). Gil-Alana, Luis ; Caporale, Guglielmo Maria.
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  22. Fractional Cyclical Structures & Business Cycles in the Specification of the US Real Output. (2005). Gil-Alana, Luis.
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  23. Long-run and Cyclical Dynamics in the US Stock Market. (2004). Gil-Alana, Luis ; Caporale, Guglielmo Maria.
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  24. Long-run and Cyclical Dynamics in the US Stock Market. (2004). Gil-Alana, Luis ; Caporale, Guglielmo Maria.
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  25. Unit root cycles in the US unemployment rate. (2004). Managi, Shunsuke.
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  26. Unit root cycles in the US unemployment rate. (2004). Managi, Shunsuke.
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  27. Testing of Nonstationary Cycles in Financial Time Series Data. (2003). Gil-Alana, Luis ; Depenya, Javier.
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  28. Generalized Fractional Time Series Modelling of the Relationship between Consumption and Income in the UK.. (2003). Gil-Alana, Luis.
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  29. ASYMPTOTIC DISTRIBUTIONS OF SEASONAL UNIT ROOT TESTS: A UNIFYING APPROACH. (2002). Rodrigues, Paulo ; Osborn, Denise.
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  30. Testing stochastic cycles in macroeconomic time series. (2000). Gil-Alana, Luis ; Gil-Alaa, Luis A..
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  31. Seasonal Nonstationarity and Near-Nonstationarity. (1999). Rodrigues, Paulo ; Osborn, Denise ; Ghysels, Eric.
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  32. Estimating a generalized long memory process. (1996). Chung, Ching-Fan .
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  33. Seasonal Unit Roots in Aggregate U.S. Data. (1992). Miron, Jeffrey ; Beaulieu, Joseph J..
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