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Quasi-likelihood analysis for nonsynchronously observed diffusion processes

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  • Ogihara, Teppei
  • Yoshida, Nakahiro

Abstract

We consider nonsynchronous sampling of parameterized stochastic regression models, which contain stochastic differential equations. Constructing a quasi-likelihood function, we prove that the quasi-maximum likelihood estimator and the Bayes type estimator are consistent and asymptotically mixed normal when the sampling frequency of the nonsynchronous data becomes large.

Suggested Citation

  • Ogihara, Teppei & Yoshida, Nakahiro, 2014. "Quasi-likelihood analysis for nonsynchronously observed diffusion processes," Stochastic Processes and their Applications, Elsevier, vol. 124(9), pages 2954-3008.
    • Handle: RePEc:eee:spapps:v:124:y:2014:i:9:p:2954-3008
    DOI: 10.1016/j.spa.2014.03.014
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    References listed on IDEAS

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    Cited by:

    1. Nakahiro Yoshida, 2022. "Quasi-likelihood analysis and its applications," Statistical Inference for Stochastic Processes, Springer, vol. 25(1), pages 43-60, April.
    2. Simon Clinet, 2020. "Quasi-likelihood analysis for marked point processes and application to marked Hawkes processes," Papers 2001.11624, arXiv.org, revised Aug 2021.
    3. Haruhiko Inatsugu & Nakahiro Yoshida, 2021. "Global jump filters and quasi-likelihood analysis for volatility," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 73(3), pages 555-598, June.
    4. Ogihara, Teppei, 2021. "Misspecified diffusion models with high-frequency observations and an application to neural networks," Stochastic Processes and their Applications, Elsevier, vol. 142(C), pages 245-292.
    5. Yusuke Kaino & Masayuki Uchida, 2018. "Hybrid estimators for stochastic differential equations from reduced data," Statistical Inference for Stochastic Processes, Springer, vol. 21(2), pages 435-454, July.

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