Closed-form formulas for the biases of the Theil and Atkinson index estimators in Gamma distributed populations

Published 18 Apr 2025 in stat.ME | (2504.13806v1)

Abstract: This paper presents an analysis of the Theil and Atkinson index estimators for gamma populations, highlighting the presence of bias in both cases. Theoretical expressions for the biases are obtained, and bias-corrected estimators are constructed and evaluated through simulation studies.

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