Maximum penalized quasi-likelihood estimation of the diffusion function
AbstractWe develop a maximum penalized quasi-likelihood estimator for estimating in a nonparametric way the diffusion function of a diffusion process, as an alternative to more traditional kernel-based estimators. After developing a numerical scheme for computing the maximizer of the penalized maximum quasi-likelihood function, we study the asymptotic properties of our estimator by way of simulation. Under the assumption that overnight London Interbank Offered Rates (LIBOR); the USD/EUR, USD/GBP, JPY/USD, and EUR/USD nominal exchange rates; and 1-month, 3-month, and 30-year Treasury bond yields are generated by diffusion processes, we use our numerical scheme to estimate the diffusion function.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1008.2421.
Date of creation: Aug 2010
Date of revision: Jan 2011
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Web page: http://arxiv.org/
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- Ignatieva, Katja & Platen, Eckhard, 2012. "Estimating the diffusion coefficient function for a diversified world stock index," Computational Statistics & Data Analysis, Elsevier, Elsevier, vol. 56(6), pages 1333-1349.
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