New functional forms of Lorenz curves by maximizing Tsallis entropy of income share function under the constraint on generalized Gini index
Author
Abstract
Suggested Citation
DOI: 10.1016/j.physa.2018.07.050
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Sarabia, J. -M. & Castillo, Enrique & Slottje, Daniel J., 1999. "An ordered family of Lorenz curves," Journal of Econometrics, Elsevier, vol. 91(1), pages 43-60, July.
- Eliazar, Iddo & Sokolov, Igor M., 2010. "Maximization of statistical heterogeneity: From Shannon’s entropy to Gini’s index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3023-3038.
- Chotikapanich, Duangkamon & Griffiths, William E. & Rao, D. S. Prasada, 2007.
"Estimating and Combining National Income Distributions Using Limited Data,"
Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 97-109, January.
- D.S. Prasada Rao & Duangkamon Chotikapanich & William E. Griffiths, 2004. "Estimating and Combining National Income Distributions using Limited Data," Econometric Society 2004 Australasian Meetings 213, Econometric Society.
- Duangkamon Chotikapanich & William E. Griffiths & D.S. Prasada Rao, 2005. "Estimating and Combining National Income Distributions using Limited Data," Department of Economics - Working Papers Series 926, The University of Melbourne.
- Kakwani, N C & Podder, N, 1973. "On the Estimation of Lorenz Curves from Grouped Observations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 278-292, June.
- Ryu, Hang K., 1993. "Maximum entropy estimation of density and regression functions," Journal of Econometrics, Elsevier, vol. 56(3), pages 397-440, April.
- repec:bla:revinw:v:37:y:1991:i:4:p:447-52 is not listed on IDEAS
- Chotikapanich, Duangkamon & Griffiths, William E, 2002.
"Estimating Lorenz Curves Using a Dirichlet Distribution,"
Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 290-295, April.
- Duangkamon Chotikapanich & William E. Griffiths, 2000. "Estimating Lorenz Curves Using a Dirichlet Distribution," Econometric Society World Congress 2000 Contributed Papers 1215, Econometric Society.
- Chotikapanich, D. & Griffiths, W., 2001. "Estimating Lorenz Curves Using a Dirichlet Distribution," Department of Economics - Working Papers Series 802, The University of Melbourne.
- Ričardas Zitikis & Joseph L. Gastwirth, 2002. "The Asymptotic Distribution of the S–Gini Index," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 44(4), pages 439-446, December.
- Preda, Vasile & Dedu, Silvia & Gheorghe, Carmen, 2015. "New classes of Lorenz curves by maximizing Tsallis entropy under mean and Gini equality and inequality constraints," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 925-932.
- Khosravi Tanak, A. & Mohtashami Borzadaran, G.R. & Ahmadi, J., 2015. "Entropy maximization under the constraints on the generalized Gini index and its application in modeling income distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 657-666.
- Xu, Kuan, 2000. "Inference for Generalized Gini Indices Using the Iterated-Bootstrap Method," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(2), pages 223-227, April.
- Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-446, March.
- Rohde, Nicholas, 2009. "An alternative functional form for estimating the Lorenz curve," Economics Letters, Elsevier, vol. 105(1), pages 61-63, October.
- Yitzhaki, Shlomo, 1983. "On an Extension of the Gini Inequality Index," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 617-628, October.
- Khosravi Tanak, A. & Mohtashami Borzadaran, G.R. & Ahmadi, J., 2017. "Maximum Tsallis entropy with generalized Gini and Gini mean difference indices constraints," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 554-560.
- P. Ortega & G. Martín & A. Fernández & M. Ladoux & A. García, 1991. "A New Functional Form For Estimating Lorenz Curves," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(4), pages 447-452, December.
- Datt, Gaurav, 1998. "Computational tools for poverty measurement and analysis," FCND discussion papers 50, International Food Policy Research Institute (IFPRI).
- Holm, Juhani, 1993. "Maximum entropy Lorenz curves," Journal of Econometrics, Elsevier, vol. 59(3), pages 377-389, October.
- Samuel Kotz & Christian Kleiber, 2002. "A characterization of income distributions in terms of generalized Gini coefficients," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 789-794.
- Donaldson, David & Weymark, John A., 1983.
"Ethically flexible gini indices for income distributions in the continuum,"
Journal of Economic Theory, Elsevier, vol. 29(2), pages 353-358, April.
- DONALDSON, David & WEYMARK, John A., 1983. "Ethically flexible Gini indices for income distributions in the continuum," LIDAM Reprints CORE 520, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Eliazar, Iddo I. & Sokolov, Igor M., 2010. "Measuring statistical heterogeneity: The Pietra index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(1), pages 117-125.
- Beck, Christian, 2004. "Generalized statistical mechanics of cosmic rays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 173-181.
- Gupta, Manash Ranjan, 1984. "Functional Form for Estimating the Lorenz Curve," Econometrica, Econometric Society, vol. 52(5), pages 1313-1314, September.
- Rasche, R H, et al, 1980. "Functional Forms for Estimating the Lorenz Curve: Comment," Econometrica, Econometric Society, vol. 48(4), pages 1061-1062, May.
- Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
- N. Nakhaei Rad & G.R. Mohtashami Borzadaran & G.H. Yari, 2016. "Maximum entropy estimation of income share function from generalized Gini index," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(16), pages 2910-2921, December.
- Hang Keun Ryu, 2008. "Maximum Entropy Estimation of Income Distributions from Bonferroni Indices," Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 10, pages 193-210, Springer.
- Garry F. Barrett & Krishna Pendakur, 1995. "The Asymptotic Distribution of the Generalized Gini Indices of Inequality," Canadian Journal of Economics, Canadian Economics Association, vol. 28(4b), pages 1042-1055, November.
- Chotikapanich, Duangkamon, 1993. "A comparison of alternative functional forms for the Lorenz curve," Economics Letters, Elsevier, vol. 41(2), pages 129-138.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Thitithep Sitthiyot & Kanyarat Holasut, 2021. "A simple method for estimating the Lorenz curve," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-9, December.
- Xiaobo Shen & Pingsheng Dai, 2024. "A regression method for estimating Gini index by decile," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-8, December.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Khosravi Tanak, A. & Mohtashami Borzadaran, G.R. & Ahmadi, J., 2017. "Maximum Tsallis entropy with generalized Gini and Gini mean difference indices constraints," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 554-560.
- Miguel Sordo & Jorge Navarro & José Sarabia, 2014. "Distorted Lorenz curves: models and comparisons," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(4), pages 761-780, April.
- Khosravi Tanak, A. & Mohtashami Borzadaran, G.R. & Ahmadi, J., 2015. "Entropy maximization under the constraints on the generalized Gini index and its application in modeling income distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 657-666.
- Satya Paul & Sriram Shankar, 2020.
"An alternative single parameter functional form for Lorenz curve,"
Empirical Economics, Springer, vol. 59(3), pages 1393-1402, September.
- Satya Paul & Sriram Shankar, 2017. "An alternative single parameter functional form for Lorenz curve," Crawford School Research Papers 1712, Crawford School of Public Policy, The Australian National University.
- WANG, Zuxiang & SMYTH, Russell & NG, Yew-Kwang, 2009. "A new ordered family of Lorenz curves with an application to measuring income inequality and poverty in rural China," China Economic Review, Elsevier, vol. 20(2), pages 218-235, June.
- Enora Belz, 2019. "Estimating Inequality Measures from Quantile Data," Economics Working Paper Archive (University of Rennes & University of Caen) 2019-09, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
- N. Nakhaei Rad & G.R. Mohtashami Borzadaran & G.H. Yari, 2016. "Maximum entropy estimation of income share function from generalized Gini index," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(16), pages 2910-2921, December.
- Gholamreza Hajargasht & William E. Griffiths, 2016. "Inference for Lorenz Curves," Department of Economics - Working Papers Series 2022, The University of Melbourne.
- Enora Belz, 2019. "Estimating Inequality Measures from Quantile Data," Working Papers halshs-02320110, HAL.
- Rohde, Nicholas, 2009. "An alternative functional form for estimating the Lorenz curve," Economics Letters, Elsevier, vol. 105(1), pages 61-63, October.
- Sarabia, José María & Gómez-Déniz, Emilio & Sarabia, María & Prieto, Faustino, 2010. "A general method for generating parametric Lorenz and Leimkuhler curves," Journal of Informetrics, Elsevier, vol. 4(4), pages 524-539.
- Sarabia, J. -M. & Castillo, Enrique & Slottje, Daniel J., 1999. "An ordered family of Lorenz curves," Journal of Econometrics, Elsevier, vol. 91(1), pages 43-60, July.
- Thitithep Sitthiyot & Kanyarat Holasut, 2021. "A simple method for estimating the Lorenz curve," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-9, December.
- ZuXiang Wang & Yew-Kwang Ng & Russell Smyth, 2007. "Revisiting The Ordered Family Of Lorenz Curves," Monash Economics Working Papers 19-07, Monash University, Department of Economics.
- Chotikapanich, Duangkamon & Griffiths, William E, 2002.
"Estimating Lorenz Curves Using a Dirichlet Distribution,"
Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 290-295, April.
- Duangkamon Chotikapanich & William E. Griffiths, 2000. "Estimating Lorenz Curves Using a Dirichlet Distribution," Econometric Society World Congress 2000 Contributed Papers 1215, Econometric Society.
- Chotikapanich, D. & Griffiths, W., 2001. "Estimating Lorenz Curves Using a Dirichlet Distribution," Department of Economics - Working Papers Series 802, The University of Melbourne.
- Francois, Joseph & Rojas-Romagosa, Hugo, 2005.
"The Construction and Interpretation of Combined Cross-Section and Time-Series Inequality Datasets,"
CEPR Discussion Papers
5214, C.E.P.R. Discussion Papers.
- Francois, Joseph F. & Rojas-Romagosa, Hugo, 2005. "The construction and interpretation of combined cross-section and time-series inequality datasets," Policy Research Working Paper Series 3748, The World Bank.
- Joseph F. Francois & Hugo Rojas-Romagosa, 2005. "The Construction and Interpretation of Combined Cross-Section and Time-Series Inequality Datasets," Tinbergen Institute Discussion Papers 05-079/2, Tinbergen Institute.
- Joseph Francois & Hugo Rojas-Romagosa, 2007. "The Construction and Interpretation of Combined Cross-Section and Time-Series Inequality Datasets," IIDE Discussion Papers 20070805, Institue for International and Development Economics.
- Andrew C. Chang & Phillip Li & Shawn M. Martin, 2018.
"Comparing cross‐country estimates of Lorenz curves using a Dirichlet distribution across estimators and datasets,"
Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(3), pages 473-478, April.
- Andrew C. Chang & Phillip Li & Shawn M. Martin, 2017. "Comparing Cross-Country Estimates of Lorenz Curves Using a Dirichlet Distribution Across Estimators and Datasets," Finance and Economics Discussion Series 2017-062, Board of Governors of the Federal Reserve System (U.S.).
- Genya Kobayashi & Kazuhiko Kakamu, 2019. "Approximate Bayesian computation for Lorenz curves from grouped data," Computational Statistics, Springer, vol. 34(1), pages 253-279, March.
- Louis Mesnard, 2022.
"About some difficulties with the functional forms of Lorenz curves,"
The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 20(4), pages 939-950, December.
- Louis de Mesnard, 2022. "About some difficulties with the functional forms of Lorenz curves," Post-Print hal-03806134, HAL.
- Kwang Soo Cheong, 1999. "A Comparison of Alternative Functional Forms For Parametric Estimation of the Lorenz Curve," Working Papers 199902, University of Hawaii at Manoa, Department of Economics.
More about this item
Keywords
Share function; Lorenz curve; Tsallis entropy; Maximum entropy; Generalized Gini index;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:511:y:2018:i:c:p:280-288. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.