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Stationarity Condition For Ar Index Process

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  • Im, Eric Iksoon
  • Hammes, David L.
  • Wills, Douglas T.

Abstract

The stationarity conditions for an autoregressive (AR) process in general are reduced to a remarkably simple inequality if the lag coefficients are restricted to be identical. The condition is not only analytically elegant but also applicable in checking the validity of the stationarity conditions for such a restricted AR process of any order.We are deeply indebted to Professor Paolo Paruolo, NP co-editor of Econometric Theory, and anonymous referees for constructive comments and suggestions that led to significant improvements. Errors, if any, are solely ours.

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  • Im, Eric Iksoon & Hammes, David L. & Wills, Douglas T., 2006. "Stationarity Condition For Ar Index Process," Econometric Theory, Cambridge University Press, vol. 22(1), pages 164-168, February.
    • Handle: RePEc:cup:etheor:v:22:y:2006:i:01:p:164-168_06
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    Cited by:

    1. Preve, Daniel, 2015. "Linear programming-based estimators in nonnegative autoregression," Journal of Banking & Finance, Elsevier, vol. 61(S2), pages 225-234.
    2. Varsha S. Kulkarni, 2021. "A Theoretical Analysis of the Stationarity of an Unrestricted Autoregression Process," Papers 2108.09083, arXiv.org.

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