IJPAM: Volume 25, No. 1 (2005)

THE INFERENCE OF GINI'S MEAN DIFFERENCE

Ping-Huang Huang$^1$, Tea-Yuan Hwang$^2$
$^1$Department of Statistics and Insurance
Aletheia University
32 Chen-Li Street, Tamsui, Taipei, 25103, TAIWAN, R.O.C.
e-mail: phhuang@email.au.edu.tw
$^2$Institute of Statistics
National Tsing Hua University
Hsinchu, 30013, TAIWAN, R.O.C.
e-mail: hwang@stat.nthu.edu.tw


Abstract.In this paper, the probability density function, the mean and the variance of Gini's mean difference are derived using the characterization of exponential distribution, and the procedures for its inference is presented and comparison with sample mean is done. More related results for references corresponding to gamma and Weibull distributions are studied and presented.

Received: August 28, 2005

AMS Subject Classification: 26A33

Key Words and Phrases: Gini's mean difference, Gini's statistics, Gini's concentration ratio, maximum likelihood estimator, gamma distribution, Weibull distribution, exponential distribution

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 25
Issue: 1