Hildreth–Lu estimation

Hildreth–Lu estimation, named for Clifford Hildreth and John Y. Lu,[1] is a method adjust a linear model to serial correlation in the error term. It is an iterative procedure related to the Cochrane–Orcutt estimation.

The idea is to repeatedly apply least squares to:

y_t - \rho y_{t-1} = \alpha(1-\rho)+\beta(X_t - \rho X_{t-1}) + e_t. \,

for different values of \rho between −1 and 1. From all these auxiliary regressions, one selects the one that yields the smallest residual sum of squares.

References

  1. Hildreth, C.; Lu, J. Y. (November 1960). "Demand Relations with Autocorrelated Disturbances". Technical Bulletin (Michigan State University Agricultural Experiment Station) 276.

Further reading