IDEAS home Printed from https://ideas.repec.org/p/ucd/wpaper/201216.html
   My bibliography  Save this paper

Uniform correlation structure and convex stochastic ordering in the PÓlya urn scheme

Author

Listed:
  • Raffaella Calabrese

    (Dynamics Lab, Geary Institute, University College Dublin)

Abstract

This analysis of the PÓlya urn scheme focuses on proving two new important results. First, the correlation structure between draws of a PÓlya urn scheme is uniform. Second, fixing the number of draws and the composition of the urn, a convex stochastic ordering is induced by the number of balls replaced into the urn.

Suggested Citation

  • Raffaella Calabrese, 2012. "Uniform correlation structure and convex stochastic ordering in the PÓlya urn scheme," Working Papers 201216, Geary Institute, University College Dublin.
  • Handle: RePEc:ucd:wpaper:201216
    as

    Download full text from publisher

    File URL: http://www.ucd.ie/geary/static/publications/workingpapers/gearywp201216.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Denuit, Michel & Lefevre, Claude, 1997. "Some new classes of stochastic order relations among arithmetic random variables, with applications in actuarial sciences," Insurance: Mathematics and Economics, Elsevier, vol. 20(3), pages 197-213, October.
    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. Denuit, Michel & Vylder, Etienne De & Lefevre, Claude, 1999. "Extremal generators and extremal distributions for the continuous s-convex stochastic orderings," Insurance: Mathematics and Economics, Elsevier, vol. 24(3), pages 201-217, May.
    2. Denuit, Michel & Rey, Béatrice, 2013. "Another look at risk apportionment," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 335-343.
    3. Michel Denuit & Claude Lefèvre & Sergey Utev, 1999. "Stochastic Orderings of Convex/Concave-Type on an Arbitrary Grid," Mathematics of Operations Research, INFORMS, vol. 24(4), pages 835-846, November.
    4. Denuit, Michel & Vermandele, Catherine, 1998. "Optimal reinsurance and stop-loss order," Insurance: Mathematics and Economics, Elsevier, vol. 22(3), pages 229-233, July.
    5. Claude Lefèvre & Stéphane Loisel, 2013. "On multiply monotone distributions, continuous or discrete, with applications," Post-Print hal-00750562, HAL.
    6. Denuit, Michel & Lefevre, Claude & Utev, Sergey, 2002. "Measuring the impact of dependence between claims occurrences," Insurance: Mathematics and Economics, Elsevier, vol. 30(1), pages 1-19, February.
    7. repec:hal:wpaper:hal-00750562 is not listed on IDEAS
    8. Lefèvre, Claude & Loisel, Stéphane, 2010. "Stationary-excess operator and convex stochastic orders," Insurance: Mathematics and Economics, Elsevier, vol. 47(1), pages 64-75, August.
    9. Manel Kacem & Claude Lefèvre & Stéphane Loisel, 2013. "Convex extrema for nonincreasing discrete distributions: effects of convexity constraints," Working Papers hal-00912942, HAL.
    10. Denuit, Michel & Mesfioui, Mhamed, 2013. "Multivariate higher-degree stochastic increasing convexity," LIDAM Discussion Papers ISBA 2013016, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    11. Denuit, Michel & Lefevre, Claude & Mesfioui, M'hamed, 1999. "On s-convex stochastic extrema for arithmetic risks," Insurance: Mathematics and Economics, Elsevier, vol. 25(2), pages 143-155, November.
    12. Courtois, Cindy & Denuit, Michel, 2008. "Convex bounds on multiplicative processes, with applications to pricing in incomplete markets," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 95-100, February.
    13. Cindy Courtois & Michel Denuit, 2009. "Moment Bounds on Discrete Expected Stop-Loss Transforms, with Applications," Methodology and Computing in Applied Probability, Springer, vol. 11(3), pages 307-338, September.
    14. MERCIER, Sophie & CASTRO, I.T., 2019. "Stochastic comparisons of imperfect maintenance models for a gamma deteriorating system," European Journal of Operational Research, Elsevier, vol. 273(1), pages 237-248.
    15. Denuit, Michel & Lefevre, Claude & Mesfioui, M'hamed, 1999. "A class of bivariate stochastic orderings, with applications in actuarial sciences," Insurance: Mathematics and Economics, Elsevier, vol. 24(1-2), pages 31-50, March.
    16. Denuit, Michel & Van Bellegem, Sébastien, 2001. "On the stop-loss and total variation distances between random sums," Statistics & Probability Letters, Elsevier, vol. 53(2), pages 153-165, June.
    17. Denuit, Michel, 2000. "Time stochastic s-convexity of claim processes," Insurance: Mathematics and Economics, Elsevier, vol. 26(2-3), pages 203-211, May.
    18. Michel M. Denuit & Mhamed Mesfioui, 2016. "Multivariate Higher-Degree Stochastic Increasing Convexity," Journal of Theoretical Probability, Springer, vol. 29(4), pages 1599-1623, December.
    19. Denuit, Michel, 2001. "Laplace transform ordering of actuarial quantities," Insurance: Mathematics and Economics, Elsevier, vol. 29(1), pages 83-102, August.
    20. Werner Hürlimann, 2005. "Improved Analytical Bounds for Gambler’s Ruin Probabilities," Methodology and Computing in Applied Probability, Springer, vol. 7(1), pages 79-95, March.

    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:ucd:wpaper:201216. 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: Geary Tech (email available below). General contact details of provider: https://edirc.repec.org/data/geucdie.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.