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Chakrabarty, Gurupada
- Measuring Income Inequality: The Journey from Relative Mean Deviation to Gini
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1 National Council of Applied Economic Research, Parisila Bhawan, 11-Indraprastha Estate, New Delhi 110002, IN
1 National Council of Applied Economic Research, Parisila Bhawan, 11-Indraprastha Estate, New Delhi 110002, IN
Source
Artha Vijnana: Journal of The Gokhale Institute of Politics and Economics, Vol 41, No 1 (1999), Pagination: .I-8Abstract
In the history of development of ideas about measurement of income inequality three measures viz., Relative Mean Deviation R, Relative Mean Difference D and Gini coefficient G played significant roles. Equivalence of D and G is well-known. This paper looks into the relationship among these three measures and the Lorenz curve to demonstrate that D and G are really generalizations of the primitive measure R.- A Pair of Social Welfare Functions and a New Measure of Inequality
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Authors
Affiliations
1 National Council of Applied Economic Research, New Delhi - 110002, IN
1 National Council of Applied Economic Research, New Delhi - 110002, IN
Source
Artha Vijnana: Journal of The Gokhale Institute of Politics and Economics, Vol 38, No 4 (1996), Pagination: 366-371Abstract
Welfare judgement on income distribution has often been made on the basis of weighted sum of individual incomes, the weights being based on some notion of relative deprivation. In a recent contribution to this Journal, Chakrabarty (1995) proposed a set of weights leading to a Social Welfare Function (SWF) based on Theil's entropy measure, not normalised. This paper proposes two more sets of weights leading to a pair of SWFs with similar properties and interpretations. Properties of a new measure of inequality derived from these SWFs are also scrutinised.- An Alternative Social Welfare Function Based on Theil's Entropy Measure
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Artha Vijnana: Journal of The Gokhale Institute of Politics and Economics, Vol 37, No 3 (1995), Pagination: 251-260Abstract
Chakravarty (1982) derived a Social Welfare Function based on a set of axioms conforming to widely shared views on measurement of welfare. The Social Welfare Function turned out to be a decreasing function of normatised Theil's Entropy Measure and an increasing function of the mean income. Theil's measure T as such, has a number of desirable properties and conforms to the Principle of Population Replication. The normalised measure (T/log n), however, fails to do so. By altering one of the assumptions in his set up an alternative Social Welfare Function has been derived. This Social Welfare Function is a negative transformation of Theil's measure as such, not normalised, and has some Interesting properties and Interpretations different from those of Chakravarty (1982).- Estimation of Lorenz Curve and Gini Co-Efficient from Grouped Observations
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