IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v61y1996i2p289-304.html
   My bibliography  Save this article

Asymptotics for Euclidean functionals with power-weighted edges

Author

Listed:
  • Redmond, C.
  • Yukich, J. E.

Abstract

We provide general and relatively simple conditions under which Euclidean functionals Lp on [0, 1]d with pth power-weighted edges satisfy the limit where Xi, i >= 1, are i.i.d. random variables with values in [0, 1]d, 0

Suggested Citation

  • Redmond, C. & Yukich, J. E., 1996. "Asymptotics for Euclidean functionals with power-weighted edges," Stochastic Processes and their Applications, Elsevier, vol. 61(2), pages 289-304, February.
    • Handle: RePEc:eee:spapps:v:61:y:1996:i:2:p:289-304
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(95)00075-5
    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. Michel X. Goemans & Dimitris J. Bertsimas, 1991. "Probabilistic Analysis of the Held and Karp Lower Bound for the Euclidean Traveling Salesman Problem," Mathematics of Operations Research, INFORMS, vol. 16(1), pages 72-89, February.
    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. Yooyoung Koo & Sungchul Lee, 2007. "Rates of Convergence of Means of Euclidean Functionals," Journal of Theoretical Probability, Springer, vol. 20(4), pages 821-841, December.
    2. Leonenko, Nikolaj & Seleznjev, Oleg, 2010. "Statistical inference for the [epsilon]-entropy and the quadratic Rényi entropy," Journal of Multivariate Analysis, Elsevier, vol. 101(9), pages 1981-1994, October.
    3. McGivney, K. & Yukich, J. E., 1999. "Asymptotics for Voronoi tessellations on random samples," Stochastic Processes and their Applications, Elsevier, vol. 83(2), pages 273-288, October.
    4. Lee, Sungchul, 1999. "Asymptotics of power-weighted Euclidean functionals," Stochastic Processes and their Applications, Elsevier, vol. 79(1), pages 109-116, January.
    5. Lee, Sungchul, 2000. "Rate of convergence of power-weighted Euclidean minimal spanning trees," Stochastic Processes and their Applications, Elsevier, vol. 86(1), pages 163-176, March.
    6. Yukich, J. E., 2000. "Asymptotics for weighted minimal spanning trees on random points," Stochastic Processes and their Applications, Elsevier, vol. 85(1), pages 123-138, January.

    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. Roberto Tadei & Guido Perboli & Francesca Perfetti, 2017. "The multi-path Traveling Salesman Problem with stochastic travel costs," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 6(1), pages 3-23, March.
    2. Bertsimas, Dimitris & Van Ryzin, Garrett., 1991. "A central limit theorem for the exodic tree and exodic matching in geometrical probability," Working papers 3313-91., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    3. Alejandro Toriello & William B. Haskell & Michael Poremba, 2014. "A Dynamic Traveling Salesman Problem with Stochastic Arc Costs," Operations Research, INFORMS, vol. 62(5), pages 1107-1125, October.
    4. Valenzuela, Christine L. & Jones, Antonia J., 1997. "Estimating the Held-Karp lower bound for the geometric TSP," European Journal of Operational Research, Elsevier, vol. 102(1), pages 157-175, 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:spapps:v:61:y:1996:i:2:p:289-304. 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/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.