IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v124y2014i12p4120-4148.html
   My bibliography  Save this article

The coalescent point process of multi-type branching trees

Author

Listed:
  • Popovic, Lea
  • Rivas, Mariolys

Abstract

We define a multi-type coalescent point process of a general branching process with countably many types. This multi-type coalescent fully describes the genealogy of the (quasi-stationary) standing population providing types along ancestral lineages of all individuals in the standing population. We show that the coalescent process is a functional of a certain Markov chain defined by the planar embedding of the multi-type branching process.

Suggested Citation

  • Popovic, Lea & Rivas, Mariolys, 2014. "The coalescent point process of multi-type branching trees," Stochastic Processes and their Applications, Elsevier, vol. 124(12), pages 4120-4148.
    • Handle: RePEc:eee:spapps:v:124:y:2014:i:12:p:4120-4148
    DOI: 10.1016/j.spa.2014.07.018
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030441491400177X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spa.2014.07.018?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. Sagitov, Serik, 2013. "Linear-fractional branching processes with countably many types," Stochastic Processes and their Applications, Elsevier, vol. 123(8), pages 2940-2956.
    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. Braunsteins, Peter & Decrouez, Geoffrey & Hautphenne, Sophie, 2019. "A pathwise approach to the extinction of branching processes with countably many types," Stochastic Processes and their Applications, Elsevier, vol. 129(3), pages 713-739.
    2. Tan, Jiangrui & Li, Junping, 2023. "Recurrence property for Galton–Watson processes in which individuals have variable lifetimes," Statistics & Probability Letters, Elsevier, vol. 199(C).

    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:eee:spapps:v:124:y:2014:i:12:p:4120-4148. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .

    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.