Estimation of Gini Index within Pre-Specified Error Bound

Econometrics

Bhargab Chattopadhyay¹  Shyamal Krishna De² 

[1] Department of Mathematical Sciences, The University of Texas at Dallas, Richardson, TX 75080, USA;School of Mathematical Sciences, National Institute of Science Education and Research, Jatni 752050, Odisha, India;

关键词: distribution-free method;    fixed width confidence interval;    Gini index;    sample size planning;    U-statistics;   

DOI  :  10.3390/econometrics4030030

来源: DOAJ

【 摘 要 】

Gini index is a widely used measure of economic inequality. This article develops a theory and methodology for constructing a confidence interval for Gini index with a specified confidence coefficient and a specified width without assuming any specific distribution of the data. Fixed sample size methods cannot simultaneously achieve both specified confidence coefficient and fixed width. We develop a purely sequential procedure for interval estimation of Gini index with a specified confidence coefficient and a specified margin of error. Optimality properties of the proposed method, namely first order asymptotic efficiency and asymptotic consistency properties are proved under mild moment assumptions of the distribution of the data.

【 授权许可】

Unknown