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Moderate deviations for estimators of quadratic variational process of diffusion with compound Poisson jumps

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  • Hui, Jiang

Abstract

We consider the stochastic differential equation driven by Lévy processes. Using discrete observations, moderate deviations for the threshold estimator of the quadratic variational process are studied. Moreover, we also obtain the functional moderate deviations.

Suggested Citation

  • Hui, Jiang, 2010. "Moderate deviations for estimators of quadratic variational process of diffusion with compound Poisson jumps," Statistics & Probability Letters, Elsevier, vol. 80(17-18), pages 1297-1305, September.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:17-18:p:1297-1305
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    References listed on IDEAS

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    1. Bercu, B. & Gamboa, F. & Rouault, A., 1997. "Large deviations for quadratic forms of stationary Gaussian processes," Stochastic Processes and their Applications, Elsevier, vol. 71(1), pages 75-90, October.
    2. Hacène Djellout & Arnaud Guillin & Liming Wu, 1999. "Large and Moderate Deviations for Estimators of Quadratic Variational Processes of Diffusions," Statistical Inference for Stochastic Processes, Springer, vol. 2(3), pages 195-225, October.
    3. Mancini, Cecilia, 2008. "Large deviation principle for an estimator of the diffusion coefficient in a jump-diffusion process," Statistics & Probability Letters, Elsevier, vol. 78(7), pages 869-879, May.
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