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Discretely Observed Diffusions: Approximation of the Continuous‐time Score Function

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  • Helle Sørensen

Abstract

We discuss parameter estimation for discretely observed, ergodic diffusion processes where the diffusion coefficient does not depend on the parameter. We propose using an approximation of the continuous‐time score function as an estimating function. The estimating function can be expressed in simple terms through the drift and the diffusion coefficient and is thus easy to calculate. Simulation studies show that the method performs well.

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  • Helle Sørensen, 2001. "Discretely Observed Diffusions: Approximation of the Continuous‐time Score Function," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 28(1), pages 113-121, March.
  • Handle: RePEc:bla:scjsta:v:28:y:2001:i:1:p:113-121
    DOI: 10.1111/1467-9469.00227
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    Cited by:

    1. Tuncer, Ruhi, 2012. "Estimating Stochastic Differential Equations Using Repeated Eigenfunction Estimation and Neural Networks," GIAM Working Papers 12-5, Galatasaray University Economic Research Center.
    2. Friedrich Hubalek & Petra Posedel, 2008. "Asymptotic analysis for a simple explicit estimator in Barndorff-Nielsen and Shephard stochastic volatility models," Papers 0807.3479, arXiv.org.

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