Measuring Inequality
Using the Geometric Mean/Arithmetic Mean Ratio
Bibliographic Data
| ID | 2331464 |
|---|---|
| Authors | G Jasso (0000-0002-7416-2358, University of Michigan, corresponding author) |
| Year | 1982 |
| Volume | 10 |
| Issue | 3 |
| Pages | 303-326 |
| Publication date | 1982-02-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Sociological Methods & Research (JOURNAL) |
| Journal identifiers | ISSN: 0049-1241 • E-ISSN: 1552-8294 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1177/0049124182010003004 |
| OpenAlex | W1979547427 |
| Language | EN |
| Citations received | 19 |
| References cited | 11 |
Since unambiguous ranking of income distributions according to their degree of inequality is not always possible, choice of inequality measure must rest on the appropriateness of particular measures for particular substantive problems. This article provides a complete account of one measure of inequality, δ, defined, for x > 0, as the ratio of the geometric mean to the arithmetic mean-a measure that is closely linked to the sense of distributive justice. Its properties are summarized, and formulas reported for the effects of transfers and of location changes. Analytic expressions for δ for three classical probability distributions-the Pareto, Lognormal, and Rectangular families-are provided, and δ's behavior in within-family comparisons discussed. The measure δ's behavior in between-family comparisons is explored using a new procedure for bounding the zones of ambiguity in inequality comparisons. Finally, a newly obtained decomposition formula for δ is reported
Ambiguity · Bounding overwatch · Distributive property · Econometrics · Inequality · Mathematical analysis · Mathematical economics · Measure (data warehouse) · Probability measure · Pure mathematics · Ranking (information retrieval) · Statistics · Computer Science · Economic Theory and Institutions · Income, Poverty, and Inequality · Mathematics · Psychological Well-being and Life Satisfaction
Justice, Inequality, and the Joy of Discovery
Comparison Theory
Poverty, redistribution, and the middle class
Aging as intracohort differentiation
How probability distributions felled the case for the beneficial effects of income inequality
New results linking inequality and justice
What can you and I do to reduce income inequality
Cloister and society
A new representation of the just term in distributive‐justice theory
Using abell's narrative method to build a theory
Popular Assessments of Earnings in Various Occupations
Comparisons Between Poorest and Richest to Measure Inequality
Two Types of Inequality
Culture and the Sense of Justice
The Trend in Between-Nation Income Inequality
Deriving Implications of Comparison Theory for Demographic Phenomena
Entropy Measures of Inequality
Theoretical Unification in Justice and Beyond
Analyzing conflict severity
| Unique citing works | 19 |
|---|---|
| Citations per year | 0,46 |
| Citation span | 1985 - 2026 (42) |
| Citation velocity | current |
| Highly cited | No |
| Citation types | Neutral: 18 |