Regression modelEconometrics / time series

Fourier Hausman Test

The Fourier Hausman test extends the classical Hausman endogeneity test by augmenting the regression with Fourier trigonometric terms — sines and cosines of time — so that the test remains valid even when the data-generating process contains smooth structural breaks or gradual nonlinearities that conventional linear specifications miss.

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Sources

  1. Christopoulos, D. K., & Leon-Ledesma, M. A. (2004). Current account sustainability in the US: What do we really know about it? Journal of International Money and Finance, 23(5), 821–840. DOI: 10.1016/j.jimonfin.2004.04.002
  2. Gallant, A. R. (1981). On the bias in flexible functional forms and an essentially unbiased form: The Fourier flexible form. Journal of Econometrics, 15(2), 211–245. DOI: 10.1016/0304-4076(81)90115-9

Related methods

ScholarGateFourier Hausman test (Fourier Flexible Form Hausman Endogeneity Test). Retrieved 2026-06-04 from https://scholargate.app/tr/econometrics/fourier-hausman-test