On the Order Statistics of Standard Normal-Based Power Method Distributions Article


  • This paper derives a procedure for determining the expectations of order statistics associated with the standard normal distribution () and its powers of order three and five ( and ). The procedure is demonstrated for sample sizes of . It is shown that and have expectations of order statistics that are functions of the expectations for and can be expressed in terms of explicit elementary functions for sample sizes of . For sample sizes of the expectations of the order statistics for , , and only require a single remainder term.


publication date

  • 2012

published in

number of pages

  • 12

start page

  • 1

end page

  • 13


  • 2012