Measuring skewness and kurtosis

RA Groeneveld, G Meeden - Journal of the Royal Statistical …, 1984 - academic.oup.com
RA Groeneveld, G Meeden
Journal of the Royal Statistical Society Series D: The Statistician, 1984academic.oup.com
The question of how to measure the degree of skewness of a continuous random variable is
addressed. In van Zwet (1964) a method for ordering two distributions with regard to
skewness is given. Here, using the concept of comparative skewness, we consider
properties that a measure of skewness should satisfy. Several extensions of the Bowley
measure of skewness taking values on (-1, 1) are discussed. How well these measures
reflect one's intuitive idea of skewness is examined. These measures of skewness are …
Abstract
The question of how to measure the degree of skewness of a continuous random variable is addressed. In van Zwet (1964) a method for ordering two distributions with regard to skewness is given. Here, using the concept of comparative skewness, we consider properties that a measure of skewness should satisfy. Several extensions of the Bowley measure of skewness taking values on (-1, 1) are discussed. How well these measures reflect one’s intuitive idea of skewness is examined. These measures of skewness are extended to measures of kurtosis for symmetric distributions.
Oxford University Press