IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-0-8176-4987-6_8.html
   My bibliography  Save this book chapter

Renewal Theory

In: Probability and Statistical Models

Author

Listed:
  • Arjun K. Gupta

    (Bowling Green State University, Department of Mathematics and Statistics)

  • Wei-Bin Zeng

    (University of Louisville, Department of Mathematics)

  • Yanhong Wu

    (California State University Stanislaus, Department of Mathematics)

Abstract

The renewal theory plays a key role in many applied probability areas, such as replacement policies in reliability, ruin probability in insurance mathematics, and system analysis in queueing theory. In this chapter, we shall first introduce the renewal theorem and its extensions including the key renewal theorem. Then we shall study some extended renewal processes, such as the delayed renewal process and defective renewal process. Meanwhile, we study the properties of the renewal functions under some special underlying distribution function classes.

Suggested Citation

  • Arjun K. Gupta & Wei-Bin Zeng & Yanhong Wu, 2010. "Renewal Theory," Springer Books, in: Probability and Statistical Models, edition 0, chapter 0, pages 159-178, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-4987-6_8
    DOI: 10.1007/978-0-8176-4987-6_8
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-0-8176-4987-6_8. 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: 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.