A Generalized Index of Concentration

Rein Taagepera and James Lee Ray
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Rein Taagepera: University of California, Irvine
James Lee Ray: University of New Mexico

Sociological Methods & Research, 1977, vol. 5, issue 3, 367-384

Abstract: A generalized nth power index of concentration is defined; for n = 1 it yields the entropy-based "relative redundancy, " and for n = 2 it yields the Ray and Singer (1973) concentration coefficient. Relations are established with a dozen other indices of concentration, diversity, fragmentation, differentiation, and inequality used in social science literature. Explicit conversion formulas are given for these often apparently unrelated indices. For multicomponent systems, equivalent two-component systems are defined.

Date: 1977
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Persistent link: https://EconPapers.repec.org/RePEc:sae:somere:v:5:y:1977:i:3:p:367-384

DOI: 10.1177/004912417700500306

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