IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v52y1995i1p107-130.html
   My bibliography  Save this article

Strong Approximation Theorems for Independent Random Variables and Their Applications

Author

Listed:
  • Shao, Q. M.

Abstract

This paper provides an elementary way to establish the general strong approximation theorems for independent random variables by using two special results of Sakhanenko. Applications to the law of the iterated logarithm and the strong law of large numbers are discussed.

Suggested Citation

  • Shao, Q. M., 1995. "Strong Approximation Theorems for Independent Random Variables and Their Applications," Journal of Multivariate Analysis, Elsevier, vol. 52(1), pages 107-130, January.
    • Handle: RePEc:eee:jmvana:v:52:y:1995:i:1:p:107-130
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047-259X(85)71006-8
    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. Timothy B Armstrong & Michal Kolesár, 2018. "A Simple Adjustment for Bandwidth Snooping," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(2), pages 732-765.
    2. Hidalgo, Javier & Seo, Myung Hwan, 2013. "Testing for structural stability in the whole sample," Journal of Econometrics, Elsevier, vol. 175(2), pages 84-93.
    3. M. A. Lifshits & M. Weber, 1997. "Strassen Laws of Iterated Logarithm for Partially Observed Processes," Journal of Theoretical Probability, Springer, vol. 10(1), pages 101-115, January.
    4. Chang, Yoosoon, 2004. "Bootstrap unit root tests in panels with cross-sectional dependency," Journal of Econometrics, Elsevier, vol. 120(2), pages 263-293, June.
    5. Menshikov, M.V. & Wade, Andrew R., 2008. "Logarithmic speeds for one-dimensional perturbed random walks in random environments," Stochastic Processes and their Applications, Elsevier, vol. 118(3), pages 389-416, March.
    6. Raluca Balan & Kulik, 2005. "Self-Normalized Weak Invariance Principle for Mixing Sequences," RePAd Working Paper Series lrsp-TRS417, Département des sciences administratives, UQO.
    7. repec:cep:stiecm:/2011/558 is not listed on IDEAS
    8. repec:cep:stiecm:em/2013/561 is not listed on IDEAS
    9. Csörgo, Miklós & Norvaisa, Rimas & Szyszkowicz, Barbara, 1999. "Convergence of weighted partial sums when the limiting distribution is not necessarily Radon," Stochastic Processes and their Applications, Elsevier, vol. 81(1), pages 81-101, May.
    10. repec:cep:stiecm:em/2011/558 is not listed on IDEAS
    11. repec:cep:stiecm:/2013/561 is not listed on IDEAS

    More about this item

    Statistics

    Access and download statistics

    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:jmvana:v:52:y:1995:i:1:p:107-130. 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/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.