The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Additivity and the entropy concept: An axiomatic approach to inequality measurement
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“Generalized entropy satisfies the earlier properties of anonymity, population-invariance, the Pigou-Dalton transfer principle, and zero-normalization.Further it is subgroup decomposable [10], and also scale-invariant.”
From A Unified Approach to Quantifying Algorithmic Unfairness: Measuring Individual &Group Unfairness via Inequality Indices (2018) · cites this paper as [10]
In the citing paper
“Further it is subgroup decomposable [10], and also scale-invariant.”
From A Unified Approach to Quantifying Algorithmic Unfairness: Measuring Individual &Group Unfairness via Inequality Indices (2018) · cites this paper as [10]
Citations
Cites
Foundations of Economic Analysis.
Stigler, G. J., & Samuelson, P. A. (1948) · Journal of the American Statistical Association · doi:10.2307/2280713 · Cited by 4,129
On the measurement of inequality
Atkinson, A. B. (1970) · Journal of Economic Theory · doi:10.1016/0022-0531(70)90039-6 · Cited by 3,945
Foundations of Economic Analysis
Ruist, E., & Samuelson, P. A. (1948) · Ekonomisk Tidskrift · doi:10.2307/3438190 · Cited by 3,039
Economics and Information Theory
Sastry, M. V. R., & Theil, H. (1969) · Econometrica · doi:10.2307/1912805 · Cited by 2,127
The Measurement of the Inequality of Incomes
Dalton, H. (1920) · The Economic Journal · doi:10.2307/2223525 · Cited by 1,488
Kolm, S. (1976) · Journal of Economic Theory · doi:10.1016/0022-0531(76)90037-5 · Cited by 920
Economics and Information Theory
Silver, W. E. (1967) · Journal of the Operational Research Society · doi:10.1057/jors.1967.59 · Cited by 903
Pigou, A. C. (2009) · Medical Entomology and Zoology · Cited by 751
Kolm, S. (1976) · Journal of Economic Theory · doi:10.1016/0022-0531(76)90068-5 · Cited by 397
A Note on Separability in Demand Analysis
Goldman, S. M., & Uzawa, H. (1964) · Econometrica · doi:10.2307/1913043 · Cited by 203
Research works printed but not linked: 1
- Takayama, 1976, Factors governing the inequality of income and money assets distributions in Japan—Shyotoku kinyushisan bunpu no fubyodō to sono yōin, Keizai Kenkyu, 27, 134
Cited by
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On the Shannon — Theil Concentration Measure and its Characterizations
Gehrig, W. (1988) · Physica-Verlag eBooks · doi:10.1007/978-3-642-52481-3_31 · Cited by 8
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Nissan, E., & Shahmoon, R. (1993) · Journal of Economics and Finance · doi:10.1007/bf02920080 · Cited by 4
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Baum, S. (1998) · Public Finance Review · doi:10.1177/109114219802600502 · Cited by 4
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Ou‐Yang, K. (2018) · Review of Income and Wealth · doi:10.1111/roiw.12402 · Cited by 4
Botassio, D. C., & Hoffmann, R. (2019) · Economic Theory Bulletin · doi:10.1007/s40505-019-00162-8 · Cited by 4
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(1973) · doi:10.1093/0198281935.005.0023 · Cited by 2
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(1973) · doi:10.1093/0198281935.001.0001.002.003 · Cited by 1
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Theil, H. (2007) · Springer eBooks · doi:10.1007/978-0-585-26874-3_1
Kleiber, C., & Kotz, S. (2003) · Wiley series in probability and statistics · doi:10.1002/0471457175.refs
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Metadata
- Authors
- Cowell, F. A., & Kuga, K.
- Affiliations
- London School of Economics and Political Science (GB)
- The University of Osaka (JP)
- ORCID
- Cowell, Frank A
- Venue
- Journal of Economic Theory
- Publisher
- Elsevier BV
- Published
- 1981-08
- Volume
- 25
- Issue
- 1
- Pages
- 131-143
- ISSN
- 0022-0531 (ISSN-L)
- OpenAlex
- W2072060617
- Cited by
- 250
- References
- 13
- Citations by year
- 2026: 4 · 2025: 7 · 2024: 3 · 2023: 3 · 2022: 29 · 2021: 7 · 2020: 3 · 2019: 6 · 2018: 10 · 2017: 4 · 2016: 7 · 2015: 9 · 2013: 7 · 2012: 3
- FWCI
- 2.91
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Economic Theory (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Complex Systems and Time Series Analysis
- Social Sciences › Sociology and Political Science › Income, Poverty, and Inequality
- Keywords
- inequality measurement, entropy additivity, kinetic exchange models, heterogeneous agents, power-law tails, generalized gamma distribution, κ-deformation, wealth distribution
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