Variance Estimation for Generalized Entropy and Atkinson Inequality Indices: the Complex Survey Data Case*
作者： Martin Biewen , Stephen P. Jenkins
DOI: 10.1111/J.1468-0084.2006.00166.X
关键词:
摘要: We derive the sampling variances of generalized entropy and Atkinson indices when estimated from complex survey data, show how they can be calculated straightforwardly using widely available software. also that, same approach is used to variance formulae for independent identically distributed case, it leads estimators that are simpler than those proposed before. Both cases illustrated with a comparison income inequality in Britain Germany.
core.ac.uk
unirioja.es
lse.ac.uk
essex.ac.uk
sci-hub.se 参考文章(17)
Leslie Kish, Martin Richard Frankel, Inference from Complex Samples Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 36, pp. 1- 22 ,(1974) , 10.1111/J.2517-6161.1974.TB00981.X
Yves G. Berger, Chris J. Skinner, Variance estimation for a low income proportion Journal of The Royal Statistical Society Series C-applied Statistics. ,vol. 52, pp. 457- 468 ,(2003) , 10.1111/1467-9876.00417
Dirk Van de gaer, Nicola Funnell, Tom McCarthy, Statistical inference for two measures of inequality when incomes are correlated Economics Letters. ,vol. 64, pp. 295- 300 ,(1999) , 10.1016/S0165-1765(99)00093-2
Buhong Zheng, Testing lorenz curves with non-simple random samples Econometrica. ,vol. 70, pp. 1235- 1243 ,(2002) , 10.1111/1468-0262.00325
Ralph S. Woodruff, A Simple Method for Approximating the Variance of a Complicated Estimate Journal of the American Statistical Association. ,vol. 66, pp. 411- 414 ,(1971) , 10.1080/01621459.1971.10482279
Paul D. Thistle, LARGE SAMPLE PROPERTIES OF TWO INEQUALITY INDICES Econometrica. ,vol. 58, pp. 725- 728 ,(1990) , 10.2307/2938198
Elias Karagiannis, Milorad Kovacevic', A Method to Calculate the Jackknife Variance Estimator For the Gini Coefficient Oxford Bulletin of Economics and Statistics. ,vol. 62, pp. 119- 122 ,(2000) , 10.1111/1468-0084.00163
Martin Biewen, Bootstrap inference for inequality, mobility and poverty measurement Journal of Econometrics. ,vol. 108, pp. 317- 342 ,(2002) , 10.1016/S0304-4076(01)00138-5
Frank A. Cowell, Sampling variance and decomposable inequality measures Journal of Econometrics. ,vol. 42, pp. 27- 41 ,(1989) , 10.1016/0304-4076(89)90073-0
JEFFREY A. MILLS, SOURUSHE ZANDVAKILI, STATISTICAL INFERENCE VIA BOOTSTRAPPING FOR MEASURES OF INEQUALITY Journal of Applied Econometrics. ,vol. 12, pp. 133- 150 ,(1997) , 10.1002/(SICI)1099-1255(199703)12:2<133::AID-JAE433>3.0.CO;2-H