Linearity Test with Unit Root in TV-ESTAR Framework

Authors

  • Jinqi Song

DOI:

https://doi.org/10.54691/bcpbm.v13i.119

Keywords:

Time Varying Exponential Smooth Transition Autoregressive Model; Structure Change; Unit Root; Linearity Test.

Abstract

Firstly, this paper proposes F statistic whose limit distribution and critical values are also provided to test nonlinearity and structure change with unit root in TV-ESTAR model framework. The results show that the distribution of F statistic is nonstandard. Then, this paper analyzes finite sample characteristics of F statistics through the Monte Carlo simulation and founds F statistics has better power than kss statistics in Kapetanios et al to test nonlinear unit root with structure change.

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References

J Y Campbell, and P Perron (1991). Pitfalls and opportunities: What macroeconomists should know about unit roots, in NBER Macroeconomic Annual edited by O Blanchard and S Fischer. Cambridge. Massachusetts. The MIT Press, 1991:141-201.

G Kapetanios, Y Shin and A Snell.Testing for a unit root in the nonlinear STAR framework[J]. Journal of Econometrics, 2003(112):359-379.

Rehim Kilic. Linearity tests and stationarity[J]. Econometrics Journal,2004(7):55-62.

Rehim Kilic. Test for a unit root in a stationary ESTAR process[J]. Econometrics Reviews, 2011(3):274-302.

Robinson Kruse. A new unit root test against ESTAR based on a class of modified statistics [J]. Statistical Papers, 2011(1):71-85.

S Lundbergh, T Teräsvirta and V D Dijk.Time-varying smooth transition autoregressive models[J]. Journal of Business and Economic Statistics,2003(21):104-121.

R Sandberg.Critical values for linearity tests in time-varying smooth transition autoregressive models when data are highly persistent [J]. Econometrics Journal,2008(11):638-647.

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Published

2021-11-16

How to Cite

Song, J. (2021). Linearity Test with Unit Root in TV-ESTAR Framework. BCP Business & Management, 13, 413-418. https://doi.org/10.54691/bcpbm.v13i.119