IDEAS home Printed from https://ideas.repec.org/a/hin/jnijsa/762639.html
   My bibliography  Save this article

First excess levels of vector processes

Author

Listed:
  • Jewgeni H. Dshalalow

Abstract

This paper analyzes the behavior of a point process marked by a two-dimensional renewal process with dependent components about some fixed (two-dimensional) level. The compound process evolves until one of its marks hits (i.e. reaches or exceeds) its associated level for the first time. The author targets a joint transformation of the first excess level, first passage time, and the index of the point process which labels the first passage time. The cases when both marks are either discrete or continuous or mixed are treated. For each of them, an explicit and compact formula is derived. Various applications to stochastic models are discussed.

Suggested Citation

  • Jewgeni H. Dshalalow, 1994. "First excess levels of vector processes," International Journal of Stochastic Analysis, Hindawi, vol. 7, pages 1-8, January.
  • Handle: RePEc:hin:jnijsa:762639
    DOI: 10.1155/S1048953394000365
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJSA/7/762639.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/IJSA/7/762639.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/S1048953394000365?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. Jewgeni H. Dshalalow & Ryan T. White, 2021. "Current Trends in Random Walks on Random Lattices," Mathematics, MDPI, vol. 9(10), pages 1-38, May.
    2. Song-Kyoo (Amang) Kim, 2022. "Versatile Stochastic Two-Sided Platform Models," Mathematics, MDPI, vol. 11(1), pages 1-15, December.
    3. Song-Kyoo (Amang) Kim, 2022. "Shifted Brownian Fluctuation Game," Mathematics, MDPI, vol. 10(10), pages 1-12, 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:hin:jnijsa:762639. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.