IDEAS home Printed from https://ideas.repec.org/p/zur/econwp/419.html
   My bibliography  Save this paper

A note on symmetric random vectors with an application to discrete choice

Author

Listed:
  • Andreas Hefti

Abstract

This paper studies random vectors X featuring symmetric distributions in that i) the order of the random variables in X does not affect its distribution, or ii) the distribution of X is symmetric at zero. We derive a number of characterization results for such random vectors, thereby connecting the distributional symmetry to various notions of how (Euclidean) functions have been regarded as symmetric. In addition, we present results about the marginals and conditionals of symmetrically distributed random vectors, and apply some of our results to various transformations of random vectors, e.g., to sums or products of random variables, or in context of a choice probability system known from economic models of discrete choice.

Suggested Citation

  • Andreas Hefti, 2022. "A note on symmetric random vectors with an application to discrete choice," ECON - Working Papers 419, Department of Economics - University of Zurich.
    • Handle: RePEc:zur:econwp:419
    as

    Download full text from publisher

    File URL: https://www.zora.uzh.ch/id/eprint/221673/1/econwp419.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Andreas Hefti & Shuo Liu & Armin Schmutzler, 2022. "Preferences, Confusion and Competition," The Economic Journal, Royal Economic Society, vol. 132(645), pages 1852-1881.
    2. Hamedani, G. G. & Walter, G. G., 1985. "On the product of symmetric random variables," Statistics & Probability Letters, Elsevier, vol. 3(5), pages 251-253, September.
    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. Julia Adamska & Łukasz Bielak & Joanna Janczura & Agnieszka Wyłomańska, 2022. "From Multi- to Univariate: A Product Random Variable with an Application to Electricity Market Transactions: Pareto and Student’s t -Distribution Case," Mathematics, MDPI, vol. 10(18), pages 1-29, September.
    2. Andreas Hefti & Peiyao Shen & King King Li, 2021. "Igniting deliberation in high stake decisions: a field study," ECON - Working Papers 378, Department of Economics - University of Zurich.
    3. Ernst Fehr & Keyu Wu, 2021. "Obfuscation in competitive markets," ECON - Working Papers 391, Department of Economics - University of Zurich, revised Feb 2023.
    4. Andreas Hefti & Julia Lareida, 2021. "Competitive attention, Superstars and the Long Tail," ECON - Working Papers 383, Department of Economics - University of Zurich.

    More about this item

    Keywords

    Symmetric distributions; symmetric random vectors; symmetric random variables; symmetric functions; choice probability system;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:zur:econwp:419. 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: Severin Oswald (email available below). General contact details of provider: https://edirc.repec.org/data/seizhch.html .

    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.