IDEAS home Printed from https://ideas.repec.org/a/spr/jotpro/v15y2002i1d10.1023_a1013889222507.html
   My bibliography  Save this article

Ergodic Properties of Palm and Spacing Measures

Author

Listed:
  • Olav Kallenberg

    (Auburn University)

Abstract

We derive some simple relations between the distribution of a stationary random measure and its associated Palm or spacing measure. The results lead to various limit theorems involving Cesàro and other averages. We also show how the general notion of spacing measure can be used to obtain a probabilistic description of the stationary version of a regenerative set or process.

Suggested Citation

  • Olav Kallenberg, 2002. "Ergodic Properties of Palm and Spacing Measures," Journal of Theoretical Probability, Springer, vol. 15(1), pages 77-96, January.
    • Handle: RePEc:spr:jotpro:v:15:y:2002:i:1:d:10.1023_a:1013889222507
    DOI: 10.1023/A:1013889222507
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1013889222507
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1013889222507?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Glynn, Peter & Sigman, Karl, 1992. "Uniform Cesaro limit theorems for synchronous processes with applications to queues," Stochastic Processes and their Applications, Elsevier, vol. 40(1), pages 29-43, February.
    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. Nieuwenhuis, G., 1996. "Ergodicity Conditions and Cesaro Limit Results for Marked Point Processes," Research Memorandum 736, Tilburg University, School of Economics and Management.
    2. Thorisson, Hermann, 1995. "On time- and cycle-stationarity," Stochastic Processes and their Applications, Elsevier, vol. 55(2), pages 183-209, February.
    3. Bazsa-Oldenkamp, E.M. & den Iseger, P., 2003. "Wide sense one-dependent processes with embedded Harris chains and their applications in inventory management," Econometric Institute Research Papers EI 2002-44, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    4. Karl Sigman & Ward Whitt, 2019. "Marked point processes in discrete time," Queueing Systems: Theory and Applications, Springer, vol. 92(1), pages 47-81, June.

    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:spr:jotpro:v:15:y:2002:i:1:d:10.1023_a:1013889222507. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.