IDEAS home Printed from https://ideas.repec.org/a/wly/apsmbi/v32y2016i4p526-538.html
   My bibliography  Save this article

Usual and stochastic tail orders between hitting times for two Markov chains

Author

Listed:
  • Emilio De Santis
  • Fabio Spizzichino

Abstract

We consider time‐homogeneous Markov chains with state space Ek≡{0,1,…,k} and initial distribution concentrated on the state 0. For pairs of such Markov chains, we study the Stochastic Tail Order and the stochastic order in the usual sense between the respective first passage times in the state k. On this purpose, we will develop a method based on a specific relation between two stochastic matrices on the state space Ek. Our method provides comparisons that are simpler and more refined than those obtained by the analysis based on the spectral gaps. Copyright © 2016 John Wiley & Sons, Ltd.

Suggested Citation

  • Emilio De Santis & Fabio Spizzichino, 2016. "Usual and stochastic tail orders between hitting times for two Markov chains," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 32(4), pages 526-538, July.
    • Handle: RePEc:wly:apsmbi:v:32:y:2016:i:4:p:526-538
    DOI: 10.1002/asmb.2177
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/asmb.2177
    Download Restriction: no
    File URL: https://libkey.io/10.1002/asmb.2177?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Galit Ashkenazi-Golan & János Flesch & Arkadi Predtetchinski & Eilon Solan, 2020. "Reachability and Safety Objectives in Markov Decision Processes on Long but Finite Horizons," Journal of Optimization Theory and Applications, Springer, vol. 185(3), pages 945-965, June.
    2. Rui Fang & Xiaohu Li, 2020. "A stochastic model of cyber attacks with imperfect detection," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(9), pages 2158-2175, May.

    More about this item

    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:wly:apsmbi:v:32:y:2016:i:4:p:526-538. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1526-4025 .

    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.