Correction for Rhiel's theory for the range estimator of the coefficient of variation for skewed distributions.
In 2007, Rhiel presented a technique to estimate the coefficient of variation from the range when sampling from skewed distributions. To provide an unbiased estimate, a correction factor (a(n)) for the mean was included. Numerical correction factors for a number of skewed distributions were provided. In a follow-up paper, he provided a proof he claimed showed the correction factor was independent of the mean and standard deviation, making the factors useful as these parameters vary; however, that proof did not establish independence. Herein is a proof which establishes the independence.
Rhiel
G Steven
GS
Department of Information Technology and Decision Sciences, College of Business and Public Administration, Old Dominion University, Norfolk, VA 23529, USA.
D000704:Analysis of Variance; D015982:Bias; D003198:Computer Simulation; D006801:Humans; D008432:Mathematical Computing; D015233:Models, Statistical; D011589:Psychology, Experimental / Q000706:statistics & numerical data*; D012107:Research Design / Q000706:statistics & numerical data; D016008:Statistical Distributions