Bounds for the Gini mean difference via the Korkine identity

被引：3
作者：
Cerone P. [1 ]
Dragomir S.S. [1 ]
机构：
[1] School of Computer Science and Mathematics, Victoria University, Melbourne City M.C., VIC 8001
来源：
J. Appl. Math. Comp. | 2006年 / 3卷 / 305-315期
关键词：
continuous distributions; expectation; Gini mean difference; moments; variance;
D O I：
10.1007/BF02832056
中图分类号：
学科分类号：
摘要：
Some bounds are given for the Gini mean difference of a continuous distribution by the use of the Korkine identity. © 2006 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.
引用
收藏
页码：305 / 315
页数：10
相关论文
共 6 条
  • [1] Cerone P., Dragomir S.S., Bounds for the Gini mean difference via the Sonin identity, Computer Math. Appl., 50, 34, pp. 599-609, (2005)
  • [2] Dragomir S.S., Cerone P., Sofo A., Some remarks on the trapezoid rule in numerical integration, Indian J. Pure Appl. Math., 31, 5, pp. 475-494, (2000)
  • [3] Gini G., Variabilità e Metabilità, contributo allo studia della distribuzioni e relationi statistiche, Studi Economica-Gicenitrici Dell' Univ. di Coglani, 3, pp. 1-158, (1912)
  • [4] Giorgi G.M., Bibliographic portrait of the Gini concentration mean, Metron, 48, 14, pp. 103-221, (1990)
  • [5] Kendall M., Stuart A., The Advanced Theory of Statistics, Distribution Theory, (1977)
  • [6] Mitrinovic D.S., Pecaric J.E., Fink A.M., Classical and New Inequalities in Analysis, (1993)
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