Ordering Distributions: Descriptive Statistics

  • Albert W. Marshall
  • Ingram Olkin
Part of the Springer Series in Statistics book series (SSS)


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).


Hazard Rate Survival Function Gini Index Stochastic Order Cone Order 


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Copyright information

© Springer 2007

Authors and Affiliations

  • Albert W. Marshall
    • 1
  • Ingram Olkin
    • 2
  1. 1.Department of StatisticsUniversity of British ColumbiaVancouverCanada
  2. 2.Department of StatisticsStanford UniversityStanfordUSA

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