IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v35y1997i4p417-422.html
   My bibliography  Save this article

A random functional central limit theorem for stationary linear processes generated by martingales

Author

Listed:
  • Fakhre-Zakeri, Issa
  • Lee, Sangyeol

Abstract

A random functional central limit theorem is obtained for a stationary linear process of the form , where {[var epsilon]t} is a strictly stationary sequence of martingale differences and .

Suggested Citation

  • Fakhre-Zakeri, Issa & Lee, Sangyeol, 1997. "A random functional central limit theorem for stationary linear processes generated by martingales," Statistics & Probability Letters, Elsevier, vol. 35(4), pages 417-422, November.
  • Handle: RePEc:eee:stapro:v:35:y:1997:i:4:p:417-422
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(97)00040-0
    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.

    References listed on IDEAS

    as
    1. Fakhre-Zakeri, Issa & Farshidi, Jamshid, 1993. "A central limit theorem with random indices for stationary linear processes," Statistics & Probability Letters, Elsevier, vol. 17(2), pages 91-95, May.
    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. Kim, Tae-Sung & Baek, Jong-Il, 2001. "A central limit theorem for stationary linear processes generated by linearly positively quadrant-dependent process," Statistics & Probability Letters, Elsevier, vol. 51(3), pages 299-305, February.
    2. Jong-Il Baek & Sung-Tae Park, 2010. "RETRACTED ARTICLE: Convergence of Weighted Sums for Arrays of Negatively Dependent Random Variables and Its Applications," Journal of Theoretical Probability, Springer, vol. 23(2), pages 362-377, June.

    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. Lee, Sangyeol, 1997. "Random central limit theorem for the linear process generated by a strong mixing process," Statistics & Probability Letters, Elsevier, vol. 35(2), pages 189-196, September.
    2. Kim, Tae-Sung & Baek, Jong-Il, 2001. "A central limit theorem for stationary linear processes generated by linearly positively quadrant-dependent process," Statistics & Probability Letters, Elsevier, vol. 51(3), pages 299-305, February.
    3. Moon, H.J., 2008. "The functional CLT for linear processes generated by mixing random variables with infinite variance," Statistics & Probability Letters, Elsevier, vol. 78(14), pages 2095-2101, October.

    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:35:y:1997:i:4:p:417-422. 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.