Parameter measures of skewness

Abstract

Several different measures of skewness are commonly used in place of γ₁, the third central moment divided by the cube of the standard deviation. The numerical values of these measures are compared in this paper for members of the gamma, lognormal or Weibull family of distributions and shown to vary considerably in most cases even when skewness and kurtosis are moderate.

Keywords:

• third central moment
• Gamma distribution
• lognormal distribution
• Weibull distribution
• nonnegative random variables