Ordering Distributions: Descriptive Statistics
Characteristics of distributions or densities such as location, dispersion, skewness, and kurtosis have long been used for descriptive purposes. Early on, measures of such characteristics were proposed, though precise definitions of the characteristics may even now remain elusive; the characteristics were often defined as “that which the measure measures.” The standard deviation as a measure of dispersion or spread is a familiar example, but measures of skewness and kurtosis based on moments were also proposed by Pearson (1895).
KeywordsHazard Rate Survival Function Gini Index Stochastic Order Cone Order
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