IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v83y2013i12p2750-2758.html
   My bibliography  Save this article

Sharp large deviations for the log-likelihood ratio of an α-Brownian bridge

Author

Listed:
  • Zhao, Shoujiang
  • Zhou, Yanping

Abstract

We studied the sharp large deviations for the log-likelihood ratio of an α-Brownian bridge. The full expansion of the tail probability for the log-likelihood ratio was obtained by using a change of measure.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:12:p:2750-2758
    DOI: 10.1016/j.spl.2013.06.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715213002083
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2013.06.003?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. 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.
    2. Bercu, Bernard & Coutin, Laure & Savy, Nicolas, 2012. "Sharp large deviations for the non-stationary Ornstein–Uhlenbeck process," Stochastic Processes and their Applications, Elsevier, vol. 122(10), pages 3393-3424.
    3. Pavel Gapeev & Uwe Küchler, 2008. "On large deviations in testing Ornstein–Uhlenbeck-type models," Statistical Inference for Stochastic Processes, Springer, vol. 11(2), pages 143-155, June.
    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. Bishwal, Jaya P.N., 2008. "Large deviations in testing fractional Ornstein-Uhlenbeck models," Statistics & Probability Letters, Elsevier, vol. 78(8), pages 953-962, June.
    6. Zhao, Shoujiang & Gao, Fuqing, 2010. "Large deviations in testing Jacobi model," Statistics & Probability Letters, Elsevier, vol. 80(1), pages 34-41, January.
    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. 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. Zhao, Shoujiang & Zhou, Qianqian, 2019. "On large deviation expansion for log-likelihood ratio of non-homogeneous Ornstein–Uhlenbeck processes," Statistics & Probability Letters, Elsevier, vol. 155(C), pages 1-1.
    3. 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.

    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. Bercu, Bernard & Richou, Adrien, 2017. "Large deviations for the Ornstein–Uhlenbeck process without tears," Statistics & Probability Letters, Elsevier, vol. 123(C), pages 45-55.
    3. Zhao, Shoujiang & Gao, Fuqing, 2010. "Large deviations in testing Jacobi model," Statistics & Probability Letters, Elsevier, vol. 80(1), pages 34-41, January.
    4. 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.
    5. 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.
    6. Nenghui Kuang & Huantian Xie, 2013. "Large and moderate deviations in testing Rayleigh diffusion model," Statistical Papers, Springer, vol. 54(3), pages 591-603, August.
    7. 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.
    8. Jiao Li, 2016. "Trading VIX Futures under Mean Reversion with Regime Switching," Papers 1605.07945, arXiv.org, revised Jun 2016.
    9. 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.
    10. 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.
    11. 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).
    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. Zhang, Pu & Xiao, Wei-lin & Zhang, Xi-li & Niu, Pan-qiang, 2014. "Parameter identification for fractional Ornstein–Uhlenbeck processes based on discrete observation," Economic Modelling, Elsevier, vol. 36(C), pages 198-203.
    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. Kristoffer Glover, 2019. "With or without replacement? Sampling uncertainty in Shepp's urn scheme," Papers 1911.11971, arXiv.org, revised Mar 2022.
    16. 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.
    17. Per Alkeback & Niclas Hagelin, 2004. "Expiration day effects of index futures and options: evidence from a market with a long settlement period," Applied Financial Economics, Taylor & Francis Journals, vol. 14(6), pages 385-396.
    18. Mauricio Contreras G. & Roberto Ortiz H, 2021. "Three little arbitrage theorems," Papers 2104.10187, arXiv.org.
    19. Isabel Figuerola‐Ferretti & Ioannis Paraskevopoulos & Tao Tang, 2018. "Pairs‐trading and spread persistence in the European stock market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(9), pages 998-1023, September.
    20. Bühler, Wolfgang & Kempf, Alexander, 1994. "DAX Index Futures: Mispricing and Arbitrage in German Markets," ZEW Discussion Papers 94-15, ZEW - Leibniz Centre for European Economic Research.

    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:83:y:2013:i:12:p:2750-2758. 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.