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  • Deprecated function: explode(): Passing null to parameter #2 ($string) of type string is deprecated in Drupal\olamalu_janeway\Controller\JanewayPublishedPaperController->getPublicationData() (line 65 of modules/custom/olamalu_janeway/src/Controller/JanewayPublishedPaperController.php).
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Estimation of semiparametric locally stationary diffusion models

Sunday 12th May 2024
Journal of Econometrics
Koo, B. and Linton, O.
This paper proposes a class of locally stationary diffusion processes. The model has a time varying but locally linear drift and a volatility coefficient that is allowed to vary over time and space. The model is semiparametric because we allow these functions to be unknown and the innovation process is parametrically specified, indeed completely known. We propose estimators of all the unknown quantities based on long span data. Our estimation method makes use of the property of local stationarity. We establish asymptotic theory for the proposed estimators as the time span increases, so we do not rely on infill asymptotics. We apply this method to interest rate data to illustrate the validity of our model. Finally, we present a simulation study to provide the finite-sample performance of the proposed estimators.
Keywords
C14
C32
Themes
empirical