Weak orderings for intersecting Lorenz curves

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Weak orderings for intersecting Lorenz curves

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Weak orderings for intersecting Lorenz curves

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

—

Projekt

<a href="/cs/project/GA15-23699S" target="_blank" >GA15-23699S: RPF a OT aplikovaná na mezinárodních finančních trzích a problému výběru portfolio</a><br>

Návaznosti

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

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Metron

ISSN

0026-1424

e-ISSN

—

Svazek periodika

74

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

16

Strana od-do

177-192

Kód UT WoS článku

000381579300004

EID výsledku v databázi Scopus

—