Optimal Invariant Tests for the Autocorrelation Coefficient in Linear Regressions with Stationary or Nonstationary AR(1) Errors

Inference on the autocorrelation coefficient p of a linear regression model with first-order autoregressive normal disturbances is studied. Both stationary and nonstationary processes are considered. Locally best and point-optimal invariant tests for any given value of p are derived. Special cases of these tests include tests for independence and tests for unit root hypotheses. The powers of alternative tests are compared numerically for a number of selected testing problems and for a range of design matrices. The results suggest that point-optimal tests are usually preferable to locally best tests, especially for testing values of p greater than or equal to one.


Issue Date:
May 01 1990
Publication Type:
Working or Discussion Paper
Language:
English
Total Pages:
47
Series Statement:
Working Paper No. 4/90




 Record created 2018-01-24, last modified 2018-01-25

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