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Numerical Analysis of Volatility Change Point Estimators for Discretely Sampled Stochastic Differential Equations

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  • Stefano M. Iacus
  • Nakahiro Yoshida

Abstract

In this paper, we review recent advances on change point estimation for the volatility component of stochastic differential equations under different discrete sampling schemes. We consider both ergodic and non‐ergodic cases, and present a Monte Carlo study on the change point estimator to compare the three methods under different setups.

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  • Stefano M. Iacus & Nakahiro Yoshida, 2010. "Numerical Analysis of Volatility Change Point Estimators for Discretely Sampled Stochastic Differential Equations," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 39(1‐2), pages 107-127, February.
    • Handle: RePEc:bla:ecnote:v:39:y:2010:i:1-2:p:107-127
    DOI: 10.1111/j.1468-0300.2010.00224.x
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    References listed on IDEAS

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    9. Sangyeol Lee & Yoichi Nishiyama & Nakahiro Yoshida, 2006. "Test for Parameter Change in Diffusion Processes by Cusum Statistics Based on One-step Estimators," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(2), pages 211-222, June.
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    11. Stefano Maria IACUS & Nakahiro YOSHIDA, 2009. "Estimation for the change point of the volatility in a stochastic differential equation," Departmental Working Papers 2009-49, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
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    Cited by:

    1. Stefano Maria IACUS & Nakahiro YOSHIDA, 2009. "Estimation for the change point of the volatility in a stochastic differential equation," Departmental Working Papers 2009-49, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    2. Greeshma Balabhadra & El Mehdi Ainasse & Pawel Polak, 2023. "High-Frequency Volatility Estimation with Fast Multiple Change Points Detection," Papers 2303.10550, arXiv.org, revised Jun 2024.
    3. Iacus, Stefano M. & Yoshida, Nakahiro, 2012. "Estimation for the change point of volatility in a stochastic differential equation," Stochastic Processes and their Applications, Elsevier, vol. 122(3), pages 1068-1092.
    4. Ozer-Imer, Itir & Ozkan, Ibrahim, 2014. "An empirical analysis of currency volatilities during the recent global financial crisis," Economic Modelling, Elsevier, vol. 43(C), pages 394-406.

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