Cumulative Entropy and Income Analysis

References

[1] A. B. Atkinson, On the measurement of inequality, J. Econom. Theory 2 (1970), 244–263. 10.1016/0022-0531(70)90039-6Search in Google Scholar

[2] F. Belzunce, J. Candel and J. M. Ruiz, Ordering and asymptotic properties of residual income distributions, Sankhyā Ser. B 60 (1998), no. 2, 331–348. Search in Google Scholar

[3] F. A. Cowell and K. Kuga, Additivity and the entropy concept: An axiomatic approach to inequality measurement, J. Econom. Theory 25 (1981), no. 1, 131–143. 10.1016/0022-0531(81)90020-XSearch in Google Scholar

[4] A. Di Crescenzo and M. Longobardi, On cumulative entropies, J. Statist. Plann. Inference 139 (2009), no. 12, 4072–4087. 10.1016/j.jspi.2009.05.038Search in Google Scholar

[5] F. Greselin, L. Pasquazzi and R. Zitikis, Zenga’s new index of economic inequality, its estimation, and an analysis of incomes in Italy, J. Probab. Stat. 2010 (2010), Article ID 718905. 10.1155/2010/718905Search in Google Scholar

[6] N. H. Haritha, N. U. Nair and K. R. M. Nair, Modelling incomes using generalized lambda distributions, J. Income Distrib. 17 (2008), 37–51. 10.25071/1874-6322.17811Search in Google Scholar

[7] N. U. Nair, K. R. M. Nair and N. Sreelakshmi, Some properties of new Zenga curve, Stat. Appl. 10 (2012), 43–52. Search in Google Scholar

[8] N. U. Nair, P. G. Sankaran and N. Balakrishnan, Quantile-Based Reliability Analysis, Stat. Ind. Technol., Springer, New York, 2013. 10.1007/978-0-8176-8361-0Search in Google Scholar

[9] N. U. Nair, P. G. Sankaran and B. Vineshkumar, The Govindarajulu distribution: Some properties and applications, Comm. Statist. Theory Methods 41 (2012), no. 24, 4391–4406. 10.1080/03610926.2011.573168Search in Google Scholar

[10] J. K. Ord, G. P. Patil and C. Taillie, The choice of a distribution to describe personal incomes, unpublished manuscript, 1978. Search in Google Scholar

[11] J. K. Ord, G. P. Patil and C. Taillie, The choice of a distribution to describe personal incomes, Statistical Distributions in Scientific Work. Vol. 6, NATO Adv. Study Inst. Ser. C Math. Phys. Sci. 79, Reidel, Dordrecht (1981), 193–201. 10.1007/978-94-009-8555-1_13Search in Google Scholar

[12] M. Polisicchio, The continuous random variable with uniform point inequality measure I ⁢ ( p ) , Stat. Appl. 1 (2008), 137–151. Search in Google Scholar

[13] S. Pundir, S. Arora and K. Jain, Bonferroni curve and the related statistical inference, Statist. Probab. Lett. 75 (2005), no. 2, 140–150. 10.1016/j.spl.2005.05.024Search in Google Scholar

[14] M. Rao, Y. Chen, B. C. Vemuri and F. Wang, Cumulative residual entropy: A new measure of information, IEEE Trans. Inform. Theory 50 (2004), no. 6, 1220–1228. 10.1109/TIT.2004.828057Search in Google Scholar

[15] N. Rohde, An alternative functional form for estimating the Lorenz curve, Econom. Lett. 105 (2009), no. 1, 61–63. 10.1016/j.econlet.2009.05.015Search in Google Scholar

[16] A. Sen, Poverty: An ordinal approach to measurement, Econometrica 44 (1976), no. 2, 219–231. 10.2307/1912718Search in Google Scholar

[17] P. K. Sen, The Gini coefficient and poverty indexes: Some reconciliations, J. Amer. Statist. Assoc. 81 (1986), no. 396, 1050–1057. 10.1080/01621459.1986.10478372Search in Google Scholar

[18] N. Takayama, Poverty, income inequality, and their measures: Professor Sen’s axiomatic approach reconsidered, Econometrica 47 (1979), no. 3, 747–759. 10.2307/1910420Search in Google Scholar

[19] A. Tarsitano, Fitting the generalized lambda distribution to income data, COMPSTAT 2004—Proceedings in Computational Statistics. Springer, Heidelberg, (2004), 1861–1867. Search in Google Scholar

[20] H. Theil, Economics and Information Theory, North-Holland, Amsterdam, 1967. Search in Google Scholar

[21] M. Zenga, Inequality curve and inequality index based on the ratios between lower and upper arithmetic means, Stat. Appl 5 (2007), 3–27. Search in Google Scholar