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
—