IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v18y1984i1p47-56.html
   My bibliography  Save this article

On the size of the increments of nonstationary Gaussian processes

Author

Listed:
  • Ortega, Joaquín

Abstract

Let {X(t), t[greater-or-equal, slanted]0} be a centred nonstationary Gaussian process with EX2(t) = C0t2[alpha] for some C0 > 0, 0 [infinity] is studied where I(T, aT) = sup{X(t')-X(t): 0[less-than-or-equals, slant]t

Suggested Citation

  • Ortega, Joaquín, 1984. "On the size of the increments of nonstationary Gaussian processes," Stochastic Processes and their Applications, Elsevier, vol. 18(1), pages 47-56, September.
    • Handle: RePEc:eee:spapps:v:18:y:1984:i:1:p:47-56
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(84)90160-1
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

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

    Citations

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


    Cited by:

    1. Lin, Zheng Yan & Choi, Yong-Kab, 1999. "Some limit theorems for fractional Lévy Brownian fields," Stochastic Processes and their Applications, Elsevier, vol. 82(2), pages 229-244, August.
    2. Yong-Kab Choi, 2004. "Path properties of (N;d)-Gaussian random fields," RePAd Working Paper Series lrsp-TRS393, Département des sciences administratives, UQO.
    3. Wang, Wensheng & Xiao, Yimin, 2019. "The Csörgő–Révész moduli of non-differentiability of fractional Brownian motion," Statistics & Probability Letters, Elsevier, vol. 150(C), pages 81-87.
    4. Lee, Cheuk Yin & Xiao, Yimin, 2022. "Propagation of singularities for the stochastic wave equation," Stochastic Processes and their Applications, Elsevier, vol. 143(C), pages 31-54.
    5. Yonghong Liu & Yongxiang Mo, 2019. "Chung’s Functional Law of the Iterated Logarithm for Increments of a Fractional Brownian Motion," Journal of Theoretical Probability, Springer, vol. 32(2), pages 721-736, June.
    6. Wang, Wensheng, 2019. "Asymptotics for discrete time hedging errors under fractional Black–Scholes models," Statistics & Probability Letters, Elsevier, vol. 149(C), pages 160-170.
    7. Lin, Zhengyan & Hwang, Kyo-Shin & Lee, Sungchul & Choi, Yong-Kab, 2004. "Path properties of a d-dimensional Gaussian process," Statistics & Probability Letters, Elsevier, vol. 68(4), pages 383-393, July.

    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:spapps:v:18:y:1984:i:1:p:47-56. 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.

    We have no bibliographic references for this item. You can help adding them by using 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/505572/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.