In this paper, we approximate the Lorenz curve by piecewise quadratic interpolation and propose a method of estimating Gini index from grouped data. We apply this method to three actual grouped data to show the method is superior to rectangle rule and trapezoidal rule of estimating Gini index.
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George Washington Univ, Dept Stat, 739 Phillips Hall, Washington, DC 20052 USAGeorge Washington Univ, Dept Stat, 739 Phillips Hall, Washington, DC 20052 USA
Lyon, Merritt
Cheung, Li C.
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George Washington Univ, Dept Stat, 739 Phillips Hall, Washington, DC 20052 USAGeorge Washington Univ, Dept Stat, 739 Phillips Hall, Washington, DC 20052 USA
Cheung, Li C.
Gastwirth, Joseph L.
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George Washington Univ, Dept Stat, 739 Phillips Hall, Washington, DC 20052 USAGeorge Washington Univ, Dept Stat, 739 Phillips Hall, Washington, DC 20052 USA
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North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450045, Peoples R ChinaNorth China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450045, Peoples R China
Shang, Songpu
Shang, Songhao
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Tsinghua Univ, State Key Lab Hydrosci & Engn, Beijing 100084, Peoples R ChinaNorth China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450045, Peoples R China
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Southwestern Univ Finance & Econ, Sch Int Business, Chengdu, Sichuan, Peoples R ChinaSouthwestern Univ Finance & Econ, Sch Int Business, Chengdu, Sichuan, Peoples R China
Lv, Xiaofeng
Zhang, Gupeng
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Univ Chinese Acad Sci, Sch Publ Policy & Management, Beijing 100049, Peoples R China
Chinese Acad Sci, Inst Policy & Management, Beijing 100190, Peoples R ChinaSouthwestern Univ Finance & Econ, Sch Int Business, Chengdu, Sichuan, Peoples R China
Zhang, Gupeng
Ren, Guangyu
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Capital Univ Econ & Business, Sch Econ, Beijing, Peoples R ChinaSouthwestern Univ Finance & Econ, Sch Int Business, Chengdu, Sichuan, Peoples R China
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Department of Economics and Social Sciences, Università Politecnica delle Marche, 60121 Ancona, Piazzale MartelliDepartment of Economics and Social Sciences, Università Politecnica delle Marche, 60121 Ancona, Piazzale Martelli
Gigliarano C.
Muliere P.
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Department of Decision Sciences, Bocconi University, MilanDepartment of Economics and Social Sciences, Università Politecnica delle Marche, 60121 Ancona, Piazzale Martelli