×

Commentary on “From unidimensional to multidimensional inequality: a review”. (English) Zbl 1436.62169

Summary: These remarks supplement the paper of F. Andreoli and C. Zoli [Metron 78, No. 1, 5–42 (2020; Zbl 1436.62164)] from a practical view-point, that is, of a data analyst who wishes to compare distributions of socio-economic endowments regarding their inequality.

MSC:

62G30 Order statistics; empirical distribution functions
62H12 Estimation in multivariate analysis
60E15 Inequalities; stochastic orderings
62P20 Applications of statistics to economics

Citations:

Zbl 1436.62164

References:

[1] Andreoli, F., Zoli, C.: From unidimensional to multidimensional inequality: a review. Metron (2020). 10.1007/s40300-020-00168-4 · Zbl 1436.62164
[2] Bazovkin, P.; Mosler, K., An exact algorithm for weighted-mean trimmed regions in any dimension, J. Stat. Softw., 47, 13, 1-29 (2012) · doi:10.18637/jss.v047.i13
[3] Davidson, R.; Duclos, J-Y, Statistical inference for stochastic dominance and for the measurement of poverty and inequality, Econometrica, 68, 6, 1435-1464 (2000) · Zbl 1055.91543 · doi:10.1111/1468-0262.00167
[4] Davidson, R.; Duclos, J-Y, Testing for restricted stochastic dominance, Econ. Rev., 32, 1, 84-125 (2013) · Zbl 1491.62199 · doi:10.1080/07474938.2012.690332
[5] Kaur, A.; Rao, BP; Singh, H., Testing for second-order stochastic dominance of two distributions, Econ. Theory, 10, 5, 849-866 (1994) · doi:10.1017/S0266466600008884
[6] Koshevoy, G.; Mosler, K., Zonoid trimming for multivariate distributions, Ann. Stat., 25, 5, 1998-2017 (1997) · Zbl 0881.62059 · doi:10.1214/aos/1069362382
[7] McFadden, D.: Testing for stochastic dominance. In: Studies in the Economics of Uncertainty. Springer, New York, pp. 113-134 (1989)
[8] Mosler, K., Multivariate Dispersion, Central Regions and Depth: the Lift Zonoid Approach (2002), New York: Springer, New York · Zbl 1027.62033
[9] Mosler, K., Restricted Lorenz dominance of economic inequality in one and many dimensions, J. Econ. Inequal., 2, 2, 89-103 (2004) · doi:10.1007/s10888-004-4384-6
[10] Mosler, K.; Lange, T.; Bazovkin, P., Computing zonoid trimmed regions in dimension \(d > 2\), Comput. Stat. Data Anal., 53, 2500-2510 (2009) · Zbl 1453.62159 · doi:10.1016/j.csda.2009.01.017
[11] Schmid, F.; Trede, M., A Kolmogorov-type test for second-order stochastic dominance, Stat. Probab. Lett., 37, 2, 183-193 (1998) · Zbl 0937.62047 · doi:10.1016/S0167-7152(97)00116-8
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.