IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4899-0574-1_3.html
   My bibliography  Save this book chapter

Asymptotic analysis of some non-homogeneous semi-Markov processes

In: Semi-Markov Models

Author

Listed:
  • R. V. Benevento

    (dell’Università della Calabria, Dipartimento di Matematica)

Abstract

Semi-Markov models turn out to be inadequate in some applications, see for instance (Janssen, Volpe, 1986), because the independence of the transition lengths given all the states visited, is too restrictive an assumption to be practical. In 1972, A. Iosifescu-Manu pointed out the convenience of allowing the sojourn in a state between two transitions to depend on the time when that sojourn began. She adapted the Markov renewal equation to these circumstances. A more general situation arises when the dependence is also on the number of the transitions preceding that sojourn. The foundations for the resulting non-homogeneous semi-Markov theory are in (De Dominicis, Janssen, 1984), but asymptotic theorems are still missing.

Suggested Citation

  • R. V. Benevento, 1986. "Asymptotic analysis of some non-homogeneous semi-Markov processes," Springer Books, in: Jacques Janssen (ed.), Semi-Markov Models, pages 23-35, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-0574-1_3
    DOI: 10.1007/978-1-4899-0574-1_3
    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:978-1-4899-0574-1_3. 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.