An Influence Function Approach to Describing the Skewness of a Distribution

Autor:	Richard A. Groeneveld
Rok vydání:	1991
Předmět:	Statistics and Probability Skew normal distribution General Mathematics Multimodal distribution Pearson distribution Nonparametric skew D'Agostino's K-squared test symbols.namesake Skewness Statistics Kurtosis symbols Log-logistic distribution Statistics Probability and Uncertainty Mathematics
Zdroj:	The American Statistician. 45:97-102
ISSN:	1537-2731 0003-1305
DOI:	10.1080/00031305.1991.10475777
Popis:	Skewness, like kurtosis, is a qualitative property of a distribution. A comparison of several measures of skewness of univariate distributions is carried out. Hampel's influence function is used to clarify the differences and similarities among these measures. A general concept of skewness as a location- and scale-free deformation of the probability mass of a symmetric distribution emerges. Positive skewness can be thought of as resulting from movement of mass at the right of the median from the center to the right tail of the distribution together with movement of mass at the left of the median from the left tail to the center of the distribution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f12bd99abf5585a0fa4174892b520bb https://doi.org/10.1080/00031305.1991.10475777 Zobrazit plný text záznamu