IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v22y1995i4p325-332.html
   My bibliography  Save this article

Multivariate dispersion orderings

Author

Listed:
  • Giovagnoli, Alessandra
  • Wynn, H. P.

Abstract

A multivariate dispersion ordering is introduced in a weak and strong version. These arise naturally out of the consideration of two-sided versions of a well-known univariate dispersion ordering referred to as 'disp'. Various characterisations of the new orderings are given and some detailed results for the normal distribution. A final section points to applications.

Suggested Citation

  • Giovagnoli, Alessandra & Wynn, H. P., 1995. "Multivariate dispersion orderings," Statistics & Probability Letters, Elsevier, vol. 22(4), pages 325-332, March.
    • Handle: RePEc:eee:stapro:v:22:y:1995:i:4:p:325-332
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-7152(94)00084-L
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Oja, Hannu, 1983. "Descriptive statistics for multivariate distributions," Statistics & Probability Letters, Elsevier, vol. 1(6), pages 327-332, October.
    2. Eaton, Morris L. & Perlman, Michael D., 1991. "Concentration inequalities for multivariate distributions: I. multivariate normal distributions," Statistics & Probability Letters, Elsevier, vol. 12(6), pages 487-504, December.
    3. Rojo, Javier & He, Guo Zhong, 1991. "New properties and characterizations of the dispersive ordering," Statistics & Probability Letters, Elsevier, vol. 11(4), pages 365-372, April.
    4. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    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. Romanazzi, Mario, 2009. "Data depth, random simplices and multivariate dispersion," Statistics & Probability Letters, Elsevier, vol. 79(12), pages 1473-1479, June.
    2. Ebrahimi, Nader & Kirmani, S.N.U.A. & Soofi, Ehsan S., 2007. "Multivariate dynamic information," Journal of Multivariate Analysis, Elsevier, vol. 98(2), pages 328-349, February.
    3. Guillermo Ayala & María Concepción López-Díaz & Miguel López-Díaz & Lucía Martínez-Costa, 2015. "Methods and Algorithms to Test the Hausdorff and Simplex Dispersion Orders with an R Package," Methodology and Computing in Applied Probability, Springer, vol. 17(3), pages 661-675, September.
    4. Carlos Carleos & Miguel López-Díaz, 2010. "A new family of dispersive orderings," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 71(2), pages 203-217, March.
    5. Fernández-Ponce, J.M. & Rodríguez-Griñolo, R., 2006. "Preserving multivariate dispersion: An application to the Wishart distribution," Journal of Multivariate Analysis, Elsevier, vol. 97(5), pages 1208-1220, May.
    6. María Concepción López-Díaz & Miguel López-Díaz & Sergio Martínez-Fernández, 2018. "Stochastic orders to approach investments in condor financial derivatives," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 122-146, March.
    7. Ayala, Guillermo & López-Díaz, Miguel, 2009. "The simplex dispersion ordering and its application to the evaluation of human corneal endothelia," Journal of Multivariate Analysis, Elsevier, vol. 100(7), pages 1447-1464, August.
    8. repec:spo:wpmain:info:hdl:2441/63913pp1o99dr9nneabam7071k is not listed on IDEAS
    9. Arthur Charpentier & Alfred Galichon & Marc Henry, 2012. "Local Utility and Multivariate Risk Aversion," CIRANO Working Papers 2012s-17, CIRANO.
    10. Alexander Zaigraev, 2002. "Shape optimal design criterion in linear models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 56(3), pages 259-273, December.
    11. Averous, Jean & Meste, Michel, 1997. "Median Balls: An Extension of the Interquantile Intervals to Multivariate Distributions," Journal of Multivariate Analysis, Elsevier, vol. 63(2), pages 222-241, November.
    12. repec:hal:spmain:info:hdl:2441/63913pp1o99dr9nneabam7071k is not listed on IDEAS
    13. Belzunce, Félix & Ruiz, José M. & Suárez-Llorens, Alfonso, 2008. "On multivariate dispersion orderings based on the standard construction," Statistics & Probability Letters, Elsevier, vol. 78(3), pages 271-281, February.
    14. Patricia Ortega-Jiménez & Miguel A. Sordo & Alfonso Suárez-Llorens, 2021. "Stochastic Comparisons of Some Distances between Random Variables," Mathematics, MDPI, vol. 9(9), pages 1-14, April.
    15. Fernandez-Ponce, J. M. & Suarez-Llorens, A., 2003. "A multivariate dispersion ordering based on quantiles more widely separated," Journal of Multivariate Analysis, Elsevier, vol. 85(1), pages 40-53, April.
    16. López-Díaz, Miguel, 2006. "An indexed multivariate dispersion ordering based on the Hausdorff distance," Journal of Multivariate Analysis, Elsevier, vol. 97(7), pages 1623-1637, August.
    17. Ulysse Lawogni, 2019. "Measures of Inequality In Vectors Distributions," Working Papers hal-02377802, HAL.
    18. Alfred Galichon & Arthur Charpentier & Marc Henry, 2012. "Local Utility and Risk Aversion," Post-Print hal-03569250, HAL.
    19. José Pablo Arias‐Nicolás & Félix Belzunce & Olga Núñez‐Barrera & Alfonso Suárez‐Llorens, 2009. "A multivariate IFR notion based on the multivariate dispersive ordering," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 25(3), pages 339-358, May.
    20. Volodina, Victoria & Wheatcroft, Edward & Wynn, Henry, 2022. "Comparing district heating options under uncertainty using stochastic ordering," LSE Research Online Documents on Economics 114292, London School of Economics and Political Science, LSE Library.
    21. Reza Modarres, 2020. "Graphical Comparison of High‐Dimensional Distributions," International Statistical Review, International Statistical Institute, vol. 88(3), pages 698-714, December.
    22. Arthur Charpentier & Alfred Galichon & Marc Henry, 2016. "Local Utility and Multivariate Risk Aversion," Mathematics of Operations Research, INFORMS, vol. 41(2), pages 466-476, May.

    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. Averous, Jean & Meste, Michel, 1997. "Median Balls: An Extension of the Interquantile Intervals to Multivariate Distributions," Journal of Multivariate Analysis, Elsevier, vol. 63(2), pages 222-241, November.
    2. Fernandez-Ponce, J. M. & Suarez-Llorens, A., 2003. "A multivariate dispersion ordering based on quantiles more widely separated," Journal of Multivariate Analysis, Elsevier, vol. 85(1), pages 40-53, April.
    3. Ayala, Guillermo & López-Díaz, Miguel, 2009. "The simplex dispersion ordering and its application to the evaluation of human corneal endothelia," Journal of Multivariate Analysis, Elsevier, vol. 100(7), pages 1447-1464, August.
    4. Fernández-Ponce, J.M. & Rodríguez-Griñolo, R., 2006. "Preserving multivariate dispersion: An application to the Wishart distribution," Journal of Multivariate Analysis, Elsevier, vol. 97(5), pages 1208-1220, May.
    5. Juan Antonio Duro & Jordi Teixidó-Figueras & Emilio Padilla, 2017. "The Causal Factors of International Inequality in $$\hbox {CO}_{2}$$ CO 2 Emissions Per Capita: A Regression-Based Inequality Decomposition Analysis," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 67(4), pages 683-700, August.
    6. Vincenzo Atella & Jay Coggins & Federico Perali, 2005. "Aversion to inequality in Italy and its determinants," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 117-144, January.
    7. G. Zioutas & C. Chatzinakos & T. D. Nguyen & L. Pitsoulis, 2017. "Optimization techniques for multivariate least trimmed absolute deviation estimation," Journal of Combinatorial Optimization, Springer, vol. 34(3), pages 781-797, October.
    8. Alan B. Krueger, 2002. "Inequality, Too Much of a Good Thing," Working Papers 845, Princeton University, Department of Economics, Industrial Relations Section..
    9. Allanson, Paul & Hubbard, Lionel, 1999. "On the Comparative Evaluation of Agricultural Income Distributions in the European Union," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 26(1), pages 1-17, March.
    10. Ada Ferrer-i-Carbonell & Bernard Van Praag, 2003. "Income Satisfaction Inequality and its Causes," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(2), pages 107-127, August.
    11. Duclos, Jean-Yves, 2006. "Liberté ou égalité?," L'Actualité Economique, Société Canadienne de Science Economique, vol. 82(4), pages 441-476, décembre.
    12. Belhadj, Besma & Limam, Mohamed, 2012. "Unidimensional and multidimensional fuzzy poverty measures: New approach," Economic Modelling, Elsevier, vol. 29(4), pages 995-1002.
    13. Heckman, James, 2001. "Accounting for Heterogeneity, Diversity and General Equilibrium in Evaluating Social Programmes," Economic Journal, Royal Economic Society, vol. 111(475), pages 654-699, November.
    14. Theodore Koutmeridis, 2013. "The Market for "Rough Diamonds": Information, Finance and Wage Inequality," CDMA Working Paper Series 201307, Centre for Dynamic Macroeconomic Analysis, revised 14 Oct 2013.
    15. Pritha Dev & Blessing U. Mberu & Roland Pongou, 2016. "Ethnic Inequality: Theory and Evidence from Formal Education in Nigeria," Economic Development and Cultural Change, University of Chicago Press, vol. 64(4), pages 603-660.
    16. Vizard, Polly, 2005. "The contributions of Professor Amartya Sen in the field of human rights," LSE Research Online Documents on Economics 6273, London School of Economics and Political Science, LSE Library.
    17. Juan D Moreno-Ternero & John E Roemer, 2006. "Impartiality, Priority, and Solidarity in the Theory of Justice," Econometrica, Econometric Society, vol. 74(5), pages 1419-1427, September.
    18. Gleb A. Koshevoy & Karl Mosler, 2007. "Multivariate Lorenz dominance based on zonoids," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 91(1), pages 57-76, March.
    19. S. P. Chakravarty & D. D. Thomakos & K. I. Nikolopoulos, 2016. "Growth, deregulation and rent seeking in post-war British economy," Applied Economics, Taylor & Francis Journals, vol. 48(18), pages 1719-1729, April.
    20. Peter J. Lambert & Helen T. Naughton, 2009. "The Equal Absolute Sacrifice Principle Revisited," Journal of Economic Surveys, Wiley Blackwell, vol. 23(2), pages 328-349, April.

    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:stapro:v:22:y:1995:i:4:p:325-332. 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/622892/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.