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Nonstationary Nonlinearity: A Survey On Peter Phillips’S Contributions With A New Perspective

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  • Park, Joon Y.

Abstract

In this paper, we provide a survey of Peter Phillips’s works on the econometrics for models with nonstationary nonlinearity, and some of the extensions that were made possible due to his original contributions. Parametric and nonparametric models are considered in both discrete time and continuous time setups. Although some of the asymptotics in the paper are applicable more generally for a wide variety of nonstationary models, we mainly analyze models with nonstationary processes that allow for the functional limit theory with limit processes having well defined local times.

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  • Park, Joon Y., 2014. "Nonstationary Nonlinearity: A Survey On Peter Phillips’S Contributions With A New Perspective," Econometric Theory, Cambridge University Press, vol. 30(4), pages 894-922, August.
  • Handle: RePEc:cup:etheor:v:30:y:2014:i:04:p:894-922_00
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    Cited by:

    1. Jiang, Bibo & Lu, Ye & Park, Joon Y., 2020. "Testing for Stationarity at High Frequency," Journal of Econometrics, Elsevier, vol. 215(2), pages 341-374.
    2. Qiying Wang & Peter C. B. Phillips, 2022. "A General Limit Theory for Nonlinear Functionals of Nonstationary Time Series," Cowles Foundation Discussion Papers 2337, Cowles Foundation for Research in Economics, Yale University.
    3. YABE, Ryota & 矢部, 竜太, 2014. "Empirical Likelihood Confidence Intervals for Nonparametric Nonlinear Nonstationary Regression Models," Discussion Papers 2014-20, Graduate School of Economics, Hitotsubashi University.

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