An error is corrected in Yu and Phillips (2001) (Econometrics Journal, 4, 210-224) where a time transformation was used to induce Gaussian disturbances in the discrete time equivalent model. It is shown that the error process in this model is not a martingale and the Dambis, Dubins-Schwarz (DDS) theorem is not directly applicable. However, a detrended error process is a martingale, the DDS theorem is applicable, and the corresponding stopping time correctly induces Gaussianity. We show that the two stopping time sequences differ by O(a2), where a is the pre-specified normalized timing constant.
Nonlinear Diffusion, Normalizing Transformation, Level Effect, DDS Theorem.
Econometrics | Economic Theory | Finance
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PHILLIPS, Peter C. B. and YU, Jun.
Corrigendum to "A Gaussian Approach for Continuous Time Models of the Short Term Interest Rate". (2011). Econometrics Journal. 14, (1), 126-129. Research Collection School Of Economics.
Available at: http://ink.library.smu.edu.sg/soe_research/1237
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