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.

翻译：本文分析了伽马分布总体中Theil指数与Atkinson指数的估计量，揭示了两类估计量均存在偏差的特性。通过理论推导获得了偏差的解析表达式，在此基础上构建了偏差校正估计量，并借助仿真研究对其性能进行了系统评估。