IDEAS home Printed from https://ideas.repec.org/p/osf/osfxxx/yb2u3_v1.html
   My bibliography  Save this paper

Theory of Probabilistic Connectedness

Author

Listed:
  • Chou, Yu-Lin

Abstract

We introduce and study a notion of probabilistic connectedness, which we term $proconnectedness$, defined in terms of partitions of a probability space into two nonempty disjoint independent events. Both proconnectedness and disproconnectedness are shown to be invariants (in a suitable sense) under isomorphic random elements. We show that a substantial part of the fundamental theory of topological connectedness admits a natural counterpart in the present theory of proconnectedness. Some applications and connections regarding limit theorems, cardinality equality of measurability structures, atomic distributions, and singular distributions are discussed.

Suggested Citation

  • Chou, Yu-Lin, 2020. "Theory of Probabilistic Connectedness," OSF Preprints yb2u3_v1, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:yb2u3_v1
    DOI: 10.31219/osf.io/yb2u3_v1
    as

    Download full text from publisher

    File URL: https://osf.io/download/5fe072fb149e75064f028061/
    Download Restriction: no
    File URL: https://libkey.io/10.31219/osf.io/yb2u3_v1?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
    ---><---

    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:osf:osfxxx:yb2u3_v1. 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: OSF (email available below). General contact details of provider: https://osf.io/preprints/ .

    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.