IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v96y2005i1p20-29.html
   My bibliography  Save this article

Correlation in Lp-spaces

Author

Listed:
  • Kowalski, Aleksander
  • Rudiuk, Edmund

Abstract

An extension to an Lp-spaces, p>1, of Pearson-Kolmogorov-Renyi correlation ratio is constructed. It is proved that correlation does not exceed , and can be used as a measure of dependence of the random variable from a sigmafield.

Suggested Citation

  • Kowalski, Aleksander & Rudiuk, Edmund, 2005. "Correlation in Lp-spaces," Journal of Multivariate Analysis, Elsevier, vol. 96(1), pages 20-29, September.
    • Handle: RePEc:eee:jmvana:v:96:y:2005:i:1:p:20-29
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047-259X(04)00178-2
    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. Miller, Grady, 1978. "Properties of certain symmetric stable distributions," Journal of Multivariate Analysis, Elsevier, vol. 8(3), pages 346-360, September.
    Full references (including those not matched with items on IDEAS)

    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. Molchanov, Ilya, 2009. "Convex and star-shaped sets associated with multivariate stable distributions, I: Moments and densities," Journal of Multivariate Analysis, Elsevier, vol. 100(10), pages 2195-2213, November.
    2. Rutkowski, Marek, 1995. "Left and right linear innovations for a multivariate S[alpha]S random variable," Statistics & Probability Letters, Elsevier, vol. 22(3), pages 175-184, February.
    3. Fries, Sébastien, 2018. "Conditional moments of noncausal alpha-stable processes and the prediction of bubble crash odds," MPRA Paper 97353, University Library of Munich, Germany, revised Nov 2019.
    4. Aleksandra Grzesiek & Prashant Giri & S. Sundar & Agnieszka WyŁomańska, 2020. "Measures of Cross‐Dependence for Bidimensional Periodic AR(1) Model with α‐Stable Distribution," Journal of Time Series Analysis, Wiley Blackwell, vol. 41(6), pages 785-807, November.
    5. Li, Hui & Wu, Min & Wang, Xiao-Tian, 2009. "Fractional-moment Capital Asset Pricing model," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 412-421.

    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:96:y:2005:i:1:p:20-29. 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.