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Local M-estimation for jump-diffusion processes

Author

Listed:
  • Wang, Yunyan
  • Zhang, Lixin
  • Tang, Mingtian

Abstract

In this paper, we develop local M-estimation for the infinitesimal moments in the jump-diffusion model based on discrete-time observations. The consistency and asymptotic normality of the local M-estimators for the infinitesimal moments are obtained under mild conditions. The simulation studies demonstrate that the proposed estimators perform well in robustness.

Suggested Citation

  • Wang, Yunyan & Zhang, Lixin & Tang, Mingtian, 2012. "Local M-estimation for jump-diffusion processes," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1273-1284.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:7:p:1273-1284
    DOI: 10.1016/j.spl.2012.03.024
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    References listed on IDEAS

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    1. Tang, Cheng Yong & Chen, Song Xi, 2009. "Parameter estimation and bias correction for diffusion processes," Journal of Econometrics, Elsevier, vol. 149(1), pages 65-81, April.
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    6. Bandi, Federico M. & Nguyen, Thong H., 2003. "On the functional estimation of jump-diffusion models," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 293-328.
    7. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    8. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
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