Seeing the wood for the trees: a critical evaluation of methods to estimate the parameters of stochastic differential equations

Hurn, A.S., Jeisman, J.I. and Lindsay, K.A. (2007) Seeing the wood for the trees: a critical evaluation of methods to estimate the parameters of stochastic differential equations. Journal of Financial Econometrics, 5(3), pp. 390-455. (doi: 10.1093/jjfinec/nbm009)

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Publisher's URL: http://dx.doi.org/10.1093/jjfinec/nbm009

Abstract

Maximum-likelihood estimates of the parameters of stochastic differential equations are consistent and asymptotically efficient, but unfortunately difficult to obtain if a closed-form expression for the transitional probability density function of the process is not available. As a result, a large number of competing estimation procedures have been proposed. This article provides a critical evaluation of the various estimation techniques. Special attention is given to the ease of implementation and comparative performance of the procedures when estimating the parameters of the Cox–Ingersoll–Ross and Ornstein–Uhlenbeck equations respectively.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Lindsay, Professor Kenneth
Authors: Hurn, A.S., Jeisman, J.I., and Lindsay, K.A.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Financial Econometrics
ISSN:1479-8409
ISSN (Online):1479-8417
Published Online:07 June 2007

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