Publication Type
Journal Article
Version
acceptedVersion
Publication Date
5-2014
Abstract
This paper develops a maximum likelihood (ML) method to estimate partially observed diffusion models based on data sampled at discrete times. The method combines two techniques recently proposed in the literature in two separate steps. In the first step, the closed form approach of Aït-Sahalia (2008) is used to obtain a highly accurate approximation to the joint transition probability density of the latent and the observed states. In the second step, the efficient importance sampling technique of Richard and Zhang (2007) is used to integrate out the latent states, thereby yielding the likelihood function. Using both simulated and real data, we show that the proposed ML method works better than alternative methods. The new method does not require the underlying diffusion to have an affine structure and does not involve infill simulations. Therefore, the method has a wide range of applicability and its computational cost is moderate. © 2013 Elsevier B.V. All rights reserved.
Keywords
Closed-form approximation, Diffusion model, Efficient importance sampler
Discipline
Econometrics
Research Areas
Econometrics
Publication
Journal of Econometrics
Volume
180
Issue
1
First Page
73
Last Page
80
ISSN
0304-4076
Identifier
10.1016/j.jeconom.2014.02.002
Publisher
Elsevier
Citation
KLEPPE, Tore Selland; Jun YU; and SKAUG, Hans J..
Maximum likelihood estimation of partially observed diffusion models. (2014). Journal of Econometrics. 180, (1), 73-80.
Available at: https://ink.library.smu.edu.sg/soe_research/1797
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.1016/j.jeconom.2014.02.002