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ON TRUNCATED MEASURES OF INCOME INEQUALITY FROM A FUZZY PERSPECTIVE | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 15، شماره 1، بهار 2018، صفحه 123-137 اصل مقاله (454.8 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2018.3582 | ||
| نویسنده | ||
Reza Pourmousa 
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| Department of Statistics, Faculty of Mathematics ~and Computer Shahid Bahonar University of Kerman Kerman, Iran | ||
| چکیده | ||
| In most statistical analysis, inequality or extent of variation in income is represented in terms of certain summary measures. But some authors argued that the concept of inequality is vague and thus cannot be measured as an exact concept. Therefore, fuzzy set theory provides naturally a useful tool for such circumstances. In this paper we have introduced a real-valued fuzzy method of illustrating the measures of income inequality in truncated random variables based on the case where the conditional events are vague. To guarantee certain relevant properties of these measures, we first selected three main families of measures and obtained their closed formulas, then used two simulated and real data set to illustrate the usefulness of derived results. | ||
| کلیدواژه‌ها | ||
| Measures of income inequality؛ Gini index؛ Fuzzy event؛ membership function؛ Truncated distribution | ||
| مراجع | ||
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[1] B. C. Arnold, Majorization and the Lorenz order, Lecture notes in statistics 43, Springer, Berlin and New York, 1987. [2] F. Belzunce, J. Candel and J. M. Ruiz, Ordering of truncated distributions through concen- tration curves, Sankhya A, 57 (1995), 375-383. [3] N. Bhattacharya, A property of the Pareto distribution, Sankhya B, 25 (1963), 195-196. [4] M. Bonetti, C. Gigliarano and P. Muliere, The Gini concentration test for survival data, Lifetime Data Analysis, 15 (2009), 493-518. [5] G. M. Cordeiro, The Kumaraswamy generalized half-normal distribution for skewed positive data, Journal of Data Science, 10 (2012), 195-224. [6] Y. Dodge, The Oxford Dictionary of Statistical Terms, OUP, 2003. [7] O. Elteto, E. Frigyes, New income inequality measures as efficient tools for causal analysis and planning, Econometrica, 36 (1968), 383-396. [8] C. Gini, On the measure of concentration with special reference to incom and statistics, Colorado College Publication, General Series, 208 (1936), 73-79. [9] K. Hanada, A Formula of Gini's concentration ratio and its applications to life tables, Journal of Japanese Statistical Society, 19 (1983), 293-325. [10] N. Kakwani, On a class of poverty measures, Econometrica, 48 (1980), 437-446. [11] C. Kleiber and S. Kotz, Statistical Size Distributions in Economics and Actuarial Sciences, Wiley, Hoboken, 2003. [12] D. Kundu and H. Howlader, Bayesian Inference and prediction of the inverse Weibull dis- tribution for Type-II censored data, Computational Statistics and Data Analysis, 54 (2010), 1547-1558. [13] J. Kupka and S. Loo, The hazard and vitality measures of aging, Journal of Applied Proba- bility, 26 (1989), 532-542. [14] J. Lawry, Modelling and Reasoning with Vague Concepts, Springer, 2006. [15] M.O. Lorenz, Methods of measuring the moncentration of wealth, Journal of the american statistical association, 70(9) (1905), 209-217. [16] T. S. K. Moothathu, A characterization of power function distribution through a property of the Lorenz curve. Sankhya, The Indian Journal of Statistics, Series B, 48 (1986), 262-265. [17] J. K. Ord, G. P. Patil and C. Taillie, Truncated distributions and measures of income in- equality. Sankhya, The Indian Journal of Statistics, Series B, 45 (1983), 413-430. [18] T. J. Ross, J. M. Booker and W. J. Parkinson, Fuzzy Logic and Probability Applications, SIAM, Philadelphia, 2002. [19] V. M. Shkolnikov, E. E. Andreev and A. Z. Begun, Gini coeffcient as a life table func- tion: Computation from discrete data, decomposition of differences and empirical examples, Demographic Research, 8 (2003), 305-358. [20] L. M. Surhone, M. T. Timpledon and S. F. Marseken, Truncated Distribution, Betascript Publishing, 2010. [21] S. Yitzhaki, On an extension of the Gini inequality index, International economic review, 24 (1983), 617-628. [22] L. A. Zadeh, Fuzzy Sets, Information and Control, 8 (1965), 338-353. [23] L.A. Zadeh, Probability measures of fuzzy events, Journal of Mathematical Analysis and Applications, 23(1968), 421-427 | ||
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