IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v138y2018icp143-150.html
   My bibliography  Save this article

On the large deviation principle for maximum likelihood estimator of α-Brownian bridge

Author

Listed:
  • Zhao, Shoujiang
  • Liu, Qiaojing
  • Chen, Ting

Abstract

We consider the large deviation principle for maximum likelihood estimator of α-Brownian bridge. The full large deviation with explicit rate function is obtained in the case of non-Gaussian limit distribution by local large deviation principle and exponential tightness.

Suggested Citation

  • Zhao, Shoujiang & Liu, Qiaojing & Chen, Ting, 2018. "On the large deviation principle for maximum likelihood estimator of α-Brownian bridge," Statistics & Probability Letters, Elsevier, vol. 138(C), pages 143-150.
    • Handle: RePEc:eee:stapro:v:138:y:2018:i:c:p:143-150
    DOI: 10.1016/j.spl.2018.03.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715218301159
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2018.03.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Shoujiang Zhao & Ting Chen, 2017. "Large deviation expansion for maximum-likelihood estimator of α −Brownian bridge," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(15), pages 7313-7326, August.
    2. Brennan, Michael J & Schwartz, Eduardo S, 1990. "Arbitrage in Stock Index Futures," The Journal of Business, University of Chicago Press, vol. 63(1), pages 7-31, January.
    3. David Sondermann & Mark Trede & Bernd Wilfling, 2011. "Estimating the degree of interventionist policies in the run-up to EMU," Applied Economics, Taylor & Francis Journals, vol. 43(2), pages 207-218.
    4. Mark Trede & Bernd Wilfling, 2007. "Estimating exchange rate dynamics with diffusion processes: an application to Greek EMU data," Empirical Economics, Springer, vol. 33(1), pages 23-39, July.
    5. Bercu, Bernard & Richou, Adrien, 2017. "Large deviations for the Ornstein–Uhlenbeck process without tears," Statistics & Probability Letters, Elsevier, vol. 123(C), pages 45-55.
    6. Zhao, Shoujiang & Zhou, Yanping, 2013. "Sharp large deviations for the log-likelihood ratio of an α-Brownian bridge," Statistics & Probability Letters, Elsevier, vol. 83(12), pages 2750-2758.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhao, Shoujiang & Liu, Qiaojing, 2020. "A large deviation result for maximum likelihood estimator of non-homogeneous Ornstein–Uhlenbeck processes," Statistics & Probability Letters, Elsevier, vol. 162(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Görgens, Maik & Thulin, Måns, 2014. "Bias-correction of the maximum likelihood estimator for the α-Brownian bridge," Statistics & Probability Letters, Elsevier, vol. 93(C), pages 78-86.
    2. Bernardo D’Auria & Alessandro Ferriero, 2020. "A Class of Itô Diffusions with Known Terminal Value and Specified Optimal Barrier," Mathematics, MDPI, vol. 8(1), pages 1-14, January.
    3. Zhao, Shoujiang & Zhou, Yanping, 2013. "Sharp large deviations for the log-likelihood ratio of an α-Brownian bridge," Statistics & Probability Letters, Elsevier, vol. 83(12), pages 2750-2758.
    4. Jun Liu, 2004. "Losing Money on Arbitrage: Optimal Dynamic Portfolio Choice in Markets with Arbitrage Opportunities," The Review of Financial Studies, Society for Financial Studies, vol. 17(3), pages 611-641.
    5. Sercu, Piet & Vandebroek, Martina, 2005. "What UIP tests on extreme samples reveal about the missing variable," Journal of International Money and Finance, Elsevier, vol. 24(8), pages 1237-1260, December.
    6. Jiao Li, 2016. "Trading VIX Futures under Mean Reversion with Regime Switching," Papers 1605.07945, arXiv.org, revised Jun 2016.
    7. Dwyer, Gerald P, Jr & Locke, Peter R & Yu, Wei, 1996. "Index Arbitrage and Nonlinear Dynamics between the S&P 500 Futures and Cash," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 301-332.
    8. Kristoffer Glover & Hardy Hulley, 2022. "Financially constrained index futures arbitrage," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(9), pages 1688-1703, September.
    9. Arago, V. & Corredor, P. & Santamaria, R., 2003. "Transaction costs, arbitrage, and volatility spillover: a note," International Review of Economics & Finance, Elsevier, vol. 12(3), pages 399-415.
    10. Fung, Joseph K.W. & Girardin, Eric & Hua, Jian, 2022. "How does the exchange-rate regime affect dual-listed share price parity? Evidence from China’s A- and H-share markets," Journal of International Money and Finance, Elsevier, vol. 129(C).
    11. Jiao Li, 2016. "Trading VIX futures under mean reversion with regime switching," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(03), pages 1-20, September.
    12. Kim, Bong-Han & Chun, Sun-Eae & Min, Hong-Ghi, 2010. "Nonlinear dynamics in arbitrage of the S&P 500 index and futures: A threshold error-correction model," Economic Modelling, Elsevier, vol. 27(2), pages 566-573, March.
    13. Lei, Yaoting & Xu, Jing, 2015. "Costly arbitrage through pairs trading," Journal of Economic Dynamics and Control, Elsevier, vol. 56(C), pages 1-19.
    14. Henker, Thomas & Martens, Martin, 2005. "Index futures arbitrage before and after the introduction of sixteenths on the NYSE," Journal of Empirical Finance, Elsevier, vol. 12(3), pages 353-373, June.
    15. repec:dau:papers:123456789/9850 is not listed on IDEAS
    16. Erik Theissen, 2012. "Price discovery in spot and futures markets: a reconsideration," The European Journal of Finance, Taylor & Francis Journals, vol. 18(10), pages 969-987, November.
    17. Kristoffer Glover, 2019. "With or without replacement? Sampling uncertainty in Shepp's urn scheme," Papers 1911.11971, arXiv.org, revised Mar 2022.
    18. Wu, Weili & Zhu, Feifei, 2023. "ETF ownership and informational efficiency of underlying stocks: Evidence from China," Pacific-Basin Finance Journal, Elsevier, vol. 79(C).
    19. Chang, Charles & Lin, Emily, 2015. "Cash-futures basis and the impact of market maturity, informed trading, and expiration effects," International Review of Economics & Finance, Elsevier, vol. 35(C), pages 197-213.
    20. Pascal Alphonse, 2007. "Mispricing Persistence and the Effectiveness of Arbitrage Trading," Multinational Finance Journal, Multinational Finance Journal, vol. 11(1-2), pages 123-156, March-Jun.
    21. Boming Ning & Prakash Chakraborty & Kiseop Lee, 2023. "Optimal Entry and Exit with Signature in Statistical Arbitrage," Papers 2309.16008, arXiv.org, revised Mar 2024.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:138:y:2018:i:c:p:143-150. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.