Mahmoudvand, Rahim and Hassani, Hossein and Wilson, Rob (2007): IS THE SAMPLE COEFFICIENT OF VARIATION A GOOD ESTIMATOR FOR THE POPULATION COEFFICIENT OF VARIATION? Published in: World Applied Sciences Journal , Vol. 2, No. 5 (1. September 2007): pp. 519-522.
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In this paper, we obtain bounds for the population coefficient of variation (CV) in Bernoulli, Discrete Uniform, Normal and Exponential distributions. We also show that the sample coefficient of variation (cv) is not an accurate estimator of the population CV in the above indicated distributions. Finally we provide some suggestions based on the Maximum Likelihood Estimation to improve the population CV estimate.
|Item Type:||MPRA Paper|
|Original Title:||IS THE SAMPLE COEFFICIENT OF VARIATION A GOOD ESTIMATOR FOR THE POPULATION COEFFICIENT OF VARIATION?|
|Keywords:||Coefficient of Variation (CV); Estimator; Maximum Likelihood Estimation (MLE)|
|Subjects:||C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General
C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods
C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C40 - General
C - Mathematical and Quantitative Methods > C6 - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C60 - General
|Depositing User:||Hossein Hassani|
|Date Deposited:||04. Dec 2007 18:29|
|Last Modified:||11. Feb 2013 22:06|
1- Albercher, H, Ladoucette, S. A., and Teogels, J. L. (2006). Asymptotic of the sample coefficient of variation and the sample dispersion, Submitted, available as KU. Leuven USC report 2006-04. 2- Casella, G., and Berger, R. L. (2002). Statistical Inference. Pacific Grove, CA: Duxbury. 3- Lewis E. E. (1963). Methods of statistical analysis in economics and business. 2nd ed. Houghton Mifflin Co., Boston, MA. 4- Ostle, B. (1954). Statistics in research basic concepts and techniques for research workers. 1st ed. Iowa State College Press, Ames, IA. 5- Summers, R. D. (1965). An inequality for the sample coefficient of variation and an application to variables sampling. Technometrics, Vol 7, pp. 67-68. 6- Steel, R. G .D., Torrie, J. H., and Dickey, D. A. (1997). Principles and procedures of statistics, a biometrical approach. 3rd ed. McGrawHill Book Co., New York, NY. 7- Tian, L. (2005). Inferences on the common coefficient of variation, Statistics in Medicine, Vol. 24, pp, 2213-2220. 8- Vangel, M. G. (1996). Confidence intervals for a normal coefficient of variation, the American Statistician, Vol. 50, pp. 21-26. 9- Verrill, S. (2003). Confidence bounds for normal and log-normal distribution coefficient of variation, Research Paper, EPL-RP-609, Madison, Wisconsin, U.S. workers. 1st ed. Iowa State College Press, Ames, IA.Houghton Mifflin Co., Boston, MA.