Journal of the Korean Data and Information Science Society
- Volume 14 Issue 3
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- Pages.653-660
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- 2003
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- 1598-9402(pISSN)
Invariance Properties for Statistics Based on the Sample Lorenz Curve
- Kang, Suk-Bok (Department of Statistics, Yeungnam University) ;
- Cho, Young-Suk (School of Free Major, Miryang National University)
- Published : 2003.08.31
Abstract
In this paper, we prove that the transformed sample Lorenz curve, normalized sample Lorenz curve, and the test statistics for testing of normality based on the normalized sample Lorenz curve and the modified Lorenz curve which were introduced by Kang and Cho (2001a, 2002) are location and scale invariant statistics.
Keywords