Measuring the Inequality of Bounded Distributions: A Joint Analysis of Attainments and Shortfalls

Aristondo, Oihana; Vega, Casilda Lasso de la

doi:10.1108/s1049-2585(2013)0000021003

Cited by 6 publications

(6 citation statements)

References 18 publications

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“…Second, not all inequality measures that satisfy strong consistency are absolute. Lasso de la Vega and Aristondo () and Aristondo and Lasso de la Vega () suggest two procedures to construct an inequality measure that satisfies perfect complementarity. The constructed inequality measure is typically not absolute but rather forms a compromise between the five categories of relative, absolute, intermediate, super‐relative, and super‐absolute inequality measures.…”

Section: Strong Consistency and Its Implicationsmentioning

confidence: 99%

Consistent Comparisons of Attainment and Shortfall Inequality: A Critical Examination

Bosmans

2015

Health Econ.

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An inequality measure is 'consistent' if it ranks distributions the same irrespective of whether health quantities are represented in terms of attainments or shortfalls. This consistency property severely restricts the set of admissible inequality measures. We show that, within a more general setting of separate measures for attainments and shortfalls, the consistency property is a combination of two conditions. The first is a compelling rationality condition that says that the attainment measure should rank attainment distributions as the shortfall measure ranks shortfall distributions. The second is an overly demanding condition that says that the attainment measure and the shortfall measure should be identical. By dropping the latter condition, the restrictions on the admissible inequality measures disappear. Copyright © 2015 John Wiley & Sons, Ltd.

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Section: Strong Consistency and Its Implicationsmentioning

confidence: 99%

Consistent Comparisons of Attainment and Shortfall Inequality: A Critical Examination

Bosmans

2015

Health Econ.

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“…Other leading examples of anthropometrics include hip, and mid‐upper arm, circumferences. One point we emphasize in this paper, following Aristondo and de la Vega (2013) and Kjellsson and Gerdtham (2013) is that survival considerations place lower and upper bounds on the range of values an anthropometric indicator takes. Following Apablaza et al .…”

Section: Introductionmentioning

confidence: 98%

“…Other leading examples of anthropometrics include hip, and mid-upper arm, circumferences. One point we emphasize in this paper, following Aristondo and de la Vega (2013) and Kjellsson and Gerdtham (2013) is that survival considerations place lower and upper bounds on the range of values an anthropometric indicator takes. Following Apablaza et al (2016), we accommodate the non-monotonic relation between a health indicator y and well-being by measuring social welfare when the health variable is reported on the union of two intervals (a, m], and (m, b), where a and b are respectively lower and higher critical bounds beyond which survival is no longer likely, while m is the optimum level of the health indicator.…”

Section: Introductionmentioning

confidence: 99%

Bread and Social Justice: Measurement of Social Welfare and Inequality Using Anthropometrics

Abu‐Zaineh

Naga

2021

Review of Income and Wealth

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We address the question of the measurement of health achievement and inequality in the context of variables exhibiting an inverted-U relation with health and well-being. The chosen approach is to measure separately achievement and inequality in the health increasing range of the variable, from a lower survival bound a to an optimum value m, and in the health decreasing range from m to an upper survival bound b. Because in the health decreasing range, the equally distributed equivalent value associated with a distribution is decreasing in progressive transfers, the paper introduces appropriate relative and absolute achievement and inequality indices to be used for variables exhibiting a negative association with well-being. We then discuss questions pertaining to consistent measurement across health attainments and shortfalls, as well as the ordering of distributions exhibiting an inverted-U relation with well-being. An illustration of the methodology is provided using a group of five Arab countries.

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“…An individual i is identified as poor if x i < z and as non poor if x i ≥ z. 2 We denote by q = q(x, z) the number of the poor people in the society. For a distribution x, we define the poor distribution and its mean as, x q = (x (1) , .…”

Section: Notations and Definitionsmentioning

confidence: 99%

“…In the other hand, Erregers [7] proposes a strongest form, defining perfect complementary indicators as those indicators that measure income inequality and shortfall inequality equally. Finally, Lambert and Zheng [17] and Lasso de la Vega and Aristondo [18], [2] propose a unified framework in which income and shortfall distributions can be jointly analyzed.…”

Section: Introductionmentioning

confidence: 99%

Decompositions for the Kakwani poverty index

Aristondo¹,

Ciommi²

2015

Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and

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Since Sen's seminal article in 1976, it is very known that every poverty measure should be sensitive to the three components of poverty: incidence, intensity and inequality. The paper concentrates on the poverty measure proposed by Kakwani. If the Kakwani index is normalized, an ordered weighted averaging (OWA) operator is obtained. The dual decomposition of the OWA operator into the self-dual core and anti-self-dual remainder allows us to propose a decomposition for this poverty index. Moreover, the inequality term obtained will measure the income inequality and gap inequality of the poor equally.

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Measuring the Inequality of Bounded Distributions: A Joint Analysis of Attainments and Shortfalls

Cited by 6 publications

References 18 publications

Consistent Comparisons of Attainment and Shortfall Inequality: A Critical Examination

Consistent Comparisons of Attainment and Shortfall Inequality: A Critical Examination

Bread and Social Justice: Measurement of Social Welfare and Inequality Using Anthropometrics

Decompositions for the Kakwani poverty index

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