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Quasi-likelihood estimation for semimartingales

Author

Listed:
  • Hutton, James E.
  • Nelson, Paul I.

Abstract

A technique of parameter estimation for a semimartingale based on the maximization of a likelihood type function is proposed. This technique is shown to be optimal in the sense of Godambe within a certain class of estimating equations. The resulting estimators are shown to be consistent and asymptotically normally distributed on certain events under relatively weak assumptions.

Suggested Citation

  • Hutton, James E. & Nelson, Paul I., 1986. "Quasi-likelihood estimation for semimartingales," Stochastic Processes and their Applications, Elsevier, vol. 22(2), pages 245-257, July.
    • Handle: RePEc:eee:spapps:v:22:y:1986:i:2:p:245-257
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    Citations

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    Cited by:

    1. Peter C. B. Phillips & Jun Yu, 2006. "A Two-Stage Realized Volatility Approach to Estimation of Diffusion Processes with Discrete," Macroeconomics Working Papers 22472, East Asian Bureau of Economic Research.
    2. Thavaneswaran, A. & Peiris, Shelton, 1998. "Hypothesis testing for some time-series models: a power comparison," Statistics & Probability Letters, Elsevier, vol. 38(2), pages 151-156, June.
    3. Phillips, Peter C.B. & Yu, Jun, 2009. "A two-stage realized volatility approach to estimation of diffusion processes with discrete data," Journal of Econometrics, Elsevier, vol. 150(2), pages 139-150, June.
    4. Teo Sharia, 2010. "Recursive parameter estimation: asymptotic expansion," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 62(2), pages 343-362, April.
    5. Kim, Yoon Tae, 1999. "Parameter estimation in infinite-dimensional stochastic differential equations," Statistics & Probability Letters, Elsevier, vol. 45(3), pages 195-204, November.
    6. Crimaldi, Irene & Pratelli, Luca, 2005. "Convergence results for multivariate martingales," Stochastic Processes and their Applications, Elsevier, vol. 115(4), pages 571-577, April.
    7. Peter C.B. Phillips & Jun Yu, 2005. "A Two-Stage Realized Volatility Approach to the Estimation for Diffusion Processes from Discrete Observations," Cowles Foundation Discussion Papers 1523, Cowles Foundation for Research in Economics, Yale University.
    8. Sharrock, Louis & Kantas, Nikolas & Parpas, Panos & Pavliotis, Grigorios A., 2023. "Online parameter estimation for the McKean–Vlasov stochastic differential equation," Stochastic Processes and their Applications, Elsevier, vol. 162(C), pages 481-546.

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