Characterisation of the Parent Distribution by Inequality Measures on Its Truncations

Characterisation of the Parent Distribution by Inequality Measures on Its Truncations

It is shown that for Gini-index, H-index and Dalton's measure, the values of the inequality index for all upper (or lower) truncations of a distribution determine the distribution uniquely up to scale change. Moreover, the γ-entropy measure for all upper truncations determine the distribution u...

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Veröffentlicht in:Sankhyā. Series B 1986-12, Vol.48 (3), p.297-300
1. Verfasser: Bhandari, Subir Kumar
Format: Artikel
Sprache:eng
Schlagworte:
Distribution functions
Entropy
Income inequality
Mathematical theorems
Mellin transforms
Truncation
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Zusammenfassung:It is shown that for Gini-index, H-index and Dalton's measure, the values of the inequality index for all upper (or lower) truncations of a distribution determine the distribution uniquely up to scale change. Moreover, the γ-entropy measure for all upper truncations determine the distribution unique up to translation shift.
ISSN:0581-5738