IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v81y2011i11p1706-1716.html
   My bibliography  Save this article

Circulant type matrices with heavy tailed entries

Author

Listed:
  • Bose, Arup
  • Guha, Suman
  • Hazra, Rajat Subhra
  • Saha, Koushik

Abstract

We study the limiting spectral distribution for a class of circulant type random matrices with heavy tailed input sequence. Unlike the light tailed case where the limit is nonrandom, here the limit is a random probability distribution. We provide an explicit representation of the limit.

Suggested Citation

  • Bose, Arup & Guha, Suman & Hazra, Rajat Subhra & Saha, Koushik, 2011. "Circulant type matrices with heavy tailed entries," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1706-1716, November.
  • Handle: RePEc:eee:stapro:v:81:y:2011:i:11:p:1706-1716
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S016771521100232X
    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. Knight, Keith, 1991. "On the empirical measure of the Fourier coefficients with infinite variance data," Statistics & Probability Letters, Elsevier, vol. 12(2), pages 109-117, August.
    2. Bose, Arup & Mitra, Joydip, 2002. "Limiting spectral distribution of a special circulant," Statistics & Probability Letters, Elsevier, vol. 60(1), pages 111-120, November.
    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. Arup Bose & Rajat Subhra Hazra & Koushik Saha, 2011. "Spectral Norm of Circulant-Type Matrices," Journal of Theoretical Probability, Springer, vol. 24(2), pages 479-516, June.
    2. Steven Jackson & Steven J. Miller & Thuy Pham, 2012. "Distribution of Eigenvalues of Highly Palindromic Toeplitz Matrices," Journal of Theoretical Probability, Springer, vol. 25(2), pages 464-495, June.
    3. Maurya, Shambhu Nath, 2024. "Limiting spectral distribution of Toeplitz and Hankel matrices with dependent entries," Statistics & Probability Letters, Elsevier, vol. 209(C).
    4. Fasen, Vicky & Fuchs, Florian, 2013. "On the limit behavior of the periodogram of high-frequency sampled stable CARMA processes," Stochastic Processes and their Applications, Elsevier, vol. 123(1), pages 229-273.
    5. S. Chatterjee & A. Bose, 2004. "A New Method for Bounding Rates of Convergence of Empirical Spectral Distributions," Journal of Theoretical Probability, Springer, vol. 17(4), pages 1003-1019, October.
    6. Arup Bose & Joydip Mitra & Arnab Sen, 2012. "Limiting Spectral Distribution of Random k-Circulants," Journal of Theoretical Probability, Springer, vol. 25(3), pages 771-797, September.
    7. Kokoszka, Piotr & Mikosch, Thomas, 2000. "The periodogram at the Fourier frequencies," Stochastic Processes and their Applications, Elsevier, vol. 86(1), pages 49-79, March.
    8. Adam Massey & Steven J. Miller & John Sinsheimer, 2007. "Distribution of Eigenvalues of Real Symmetric Palindromic Toeplitz Matrices and Circulant Matrices," Journal of Theoretical Probability, Springer, vol. 20(3), pages 637-662, September.
    9. Murat Koloğlu & Gene S. Kopp & Steven J. Miller, 2013. "The Limiting Spectral Measure for Ensembles of Symmetric Block Circulant Matrices," Journal of Theoretical Probability, Springer, vol. 26(4), pages 1020-1060, December.
    10. Dang-Zheng Liu & Zheng-Dong Wang, 2011. "Limit Distribution of Eigenvalues for Random Hankel and Toeplitz Band Matrices," Journal of Theoretical Probability, Springer, vol. 24(4), pages 988-1001, December.

    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:81:y:2011:i:11:p:1706-1716. 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.