IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v37y1990i5p617-625.html
   My bibliography  Save this article

Some conditions for stochastic equality

Author

Listed:
  • Marco Scarsini
  • Moshe Shaked

Abstract

If two random vectors are stochastically ordered and have the same marginal distributions then they must have the same joint distribution. In this article we obtain some variations of this result. For example, we show that, for nonnegative random vectors, only the stochastic ordering of positive linear combinations of the random variables is needed in order to obtain stochastic equality. A similar result for discrete random vectors is also given. A conjecture from the literature in this area is settled. Some applications are included.

Suggested Citation

  • Marco Scarsini & Moshe Shaked, 1990. "Some conditions for stochastic equality," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(5), pages 617-625, October.
    • Handle: RePEc:wly:navres:v:37:y:1990:i:5:p:617-625
    DOI: 10.1002/1520-6750(199010)37:53.0.CO;2-L
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(199010)37:53.0.CO;2-L
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(199010)37:53.0.CO;2-L?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
    ---><---

    References listed on IDEAS

    as
    1. Marco Scarsini, 1986. "Comparison of random cash flows," Post-Print hal-00542252, HAL.
    2. Muliere, Pietro & Scarsini, Marco, 1989. "Multivariate decisions with unknown price vector," Economics Letters, Elsevier, vol. 29(1), pages 13-19.
    3. Marco Scarsini, 1988. "Dominance Conditions for Multivariate Utility Functions," Management Science, INFORMS, vol. 34(4), pages 454-460, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Miguel Sordo & Héctor Ramos, 2007. "Characterization of stochastic orders by L-functionals," Statistical Papers, Springer, vol. 48(2), pages 249-263, April.

    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. Range, Troels Martin & Østerdal, Lars Peter, 2013. "Checking bivariate first order dominance," Discussion Papers on Economics 9/2013, University of Southern Denmark, Department of Economics.
    2. Østerdal, Lars Peter, 2010. "The mass transfer approach to multivariate discrete first order stochastic dominance: Direct proof and implications," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1222-1228, November.
    3. Arthur Charpentier & Alfred Galichon & Marc Henry, 2012. "Local Utility and Multivariate Risk Aversion," CIRJE F-Series CIRJE-F-836, CIRJE, Faculty of Economics, University of Tokyo.
    4. Decancq, Koen, 2012. "Elementary multivariate rearrangements and stochastic dominance on a Fréchet class," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1450-1459.
    5. Galichon, Alfred & Henry, Marc, 2012. "Dual theory of choice with multivariate risks," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1501-1516.
    6. Guy Kaplanski & Haim Levy, 2017. "Envy and Altruism: Contrasting Bivariate and Univariate Prospect Preferences," Scandinavian Journal of Economics, Wiley Blackwell, vol. 119(2), pages 457-483, April.
    7. Abdelaziz, F. Ben & Lang, P. & Nadeau, R., 1995. "Distributional efficiency in multiobjective stochastic linear programming," European Journal of Operational Research, Elsevier, vol. 85(2), pages 399-415, September.
    8. Georges Dionne & Jingyuan Li, 2012. "Comparative Ross Risk Aversion in the Presence of Quadrant Dependent Risks," Cahiers de recherche 1226, CIRPEE.
    9. Karl Mosler, 2023. "Representative endowments and uniform Gini orderings of multi-attribute welfare," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 21(1), pages 233-250, March.
    10. Amiri, Mehdi & Izadkhah, Salman & Jamalizadeh, Ahad, 2020. "Linear orderings of the scale mixtures of the multivariate skew-normal distribution," Journal of Multivariate Analysis, Elsevier, vol. 179(C).
    11. Alfred Müller & Marco Scarsini, 2001. "Stochastic Comparison of Random Vectors with a Common Copula," Mathematics of Operations Research, INFORMS, vol. 26(4), pages 723-740, November.
    12. Dionne, Georges & Li, Jingyuan, 2014. "Comparative Ross risk aversion in the presence of mean dependent risks," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 128-135.
    13. repec:hal:spmain:info:hdl:2441/63913pp1o99dr9nneabam7071k is not listed on IDEAS
    14. F. Ben Abdelaziz & P. Lang & R. Nadeau, 1999. "Dominance and Efficiency in Multicriteria Decision under Uncertainty," Theory and Decision, Springer, vol. 47(3), pages 191-211, December.
    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. Alfred Galichon & Arthur Charpentier & Marc Henry, 2012. "Local Utility and Risk Aversion," Sciences Po publications info:hdl:2441/63913pp1o99, Sciences Po.
    17. Ilia Tsetlin & Robert L. Winkler, 2009. "Multiattribute Utility Satisfying a Preference for Combining Good with Bad," Management Science, INFORMS, vol. 55(12), pages 1942-1952, December.
    18. Ortega, Eva-María & Escudero, Laureano F., 2010. "On expected utility for financial insurance portfolios with stochastic dependencies," European Journal of Operational Research, Elsevier, vol. 200(1), pages 181-186, January.
    19. Abdelaziz, Fouad Ben, 2012. "Solution approaches for the multiobjective stochastic programming," European Journal of Operational Research, Elsevier, vol. 216(1), pages 1-16.
    20. Marta_Cardin & Paola_Ferretti, 2004. "Some theory of bivariate risk attitude," Game Theory and Information 0411009, University Library of Munich, Germany.
    21. López-Díaz, María Concepción & López-Díaz, Miguel & Martínez-Fernández, Sergio, 2018. "A stochastic order for the analysis of investments affected by the time value of money," Insurance: Mathematics and Economics, Elsevier, vol. 83(C), pages 75-82.

    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:wly:navres:v:37:y:1990:i:5:p:617-625. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.