ASYMPTOTIC BEHAVIOR OF THE CUSUM OF SQUARES TEST UNDER STOCHASTIC AND DETERMINISTIC TIME TRENDS

B-Tier
Journal: Econometric Theory
Year: 2011
Volume: 27
Issue: 4
Pages: 913-927

Authors (2)

Nielsen, Bent (Oxford University) Sohkanen, Jouni S. (not in RePEc)

Score contribution per author:

1.005 = (α=2.01 / 2 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We generalize the cumulative sum of squares (CUSQ) test to the case of nonstationary autoregressive distributed lag models with deterministic time trends. The test may be implemented with either ordinary least squares residuals or standardized forecast errors. In explosive cases the asymptotic theory applies more generally for the least squares residuals-based test. Preliminary simulations of the tests suggest a very modest difference between the tests and a very modest variation with nuisance parameters. This supports the use of the tests in explorative analysis.

Technical Details

RePEc Handle
repec:cup:etheor:v:27:y:2011:i:04:p:913-927_00
Journal Field
Econometrics
Author Count
2
Added to Database
2026-01-26