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Variance Estimation for Generalized Entropy and Atkinson Inequality Indices: the Complex Survey Data Case *
Author(s) -
Biewen Martin,
Jenkins Stephen P.
Publication year - 2006
Publication title -
oxford bulletin of economics and statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.131
H-Index - 73
eISSN - 1468-0084
pISSN - 0305-9049
DOI - 10.1111/j.1468-0084.2006.00166.x
Subject(s) - estimator , mathematics , variance (accounting) , econometrics , generalized entropy index , independent and identically distributed random variables , statistics , inequality , entropy (arrow of time) , survey data collection , sampling (signal processing) , economics , computer science , mathematical analysis , random variable , physics , accounting , quantum mechanics , panel data , filter (signal processing) , computer vision
We derive the sampling variances of generalized entropy and Atkinson indices when estimated from complex survey data, and show how they can be calculated straightforwardly using widely available software. We also show that, when the same approach is used to derive variance formulae for the independent and identically distributed case, it leads to estimators that are simpler than those proposed before. Both cases are illustrated with a comparison of income inequality in Britain and Germany.