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Weak orderings for intersecting Lorenz curves

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F16%3A86099796" target="_blank" >RIV/61989100:27510/16:86099796 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s40300-016-0087-6" target="_blank" >http://dx.doi.org/10.1007/s40300-016-0087-6</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s40300-016-0087-6" target="_blank" >10.1007/s40300-016-0087-6</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Weak orderings for intersecting Lorenz curves

  • Original language description

    The Lorenz dominance is a primary tool for comparison of non-negative distributions in terms of inequality. However, in most of cases Lorenz curves intersect and the ordering is not fulfilled, so that some alternative (weaker) criteria need to be to introduced. In this context, the second-degree Lorenz dominance, which emphasizes the role of the left (or right) tail of the distribution, is especially suitable for ranking single-crossing Lorenz curves. We introduce a new ordering, namely disparity dominance, which emphasizes inequality in both of the tails, and we show that, in turn, it is especially suitable for ranking double-crossing Lorenz curves. We argue that the two approaches are basically complementary, although in both cases the Gini coefficient is crucial for the ranking. Moreover, we can use some well-known results of majorization theory to obtain classes of functionals that are consistent with the aforementioned weak preorders, and that can therefore be used as finer inequality indices.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA15-23699S" target="_blank" >GA15-23699S: Risk Probability Functionals and Ordering Theory Applied to International Financial Markets and Portfolio Selection Problems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2016

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Metron

  • ISSN

    0026-1424

  • e-ISSN

  • Volume of the periodical

    74

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    16

  • Pages from-to

    177-192

  • UT code for WoS article

    000381579300004

  • EID of the result in the Scopus database