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

Todd C. Headrick | Zendy; Mohan D. Pant | Zendy

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

Author(s) -

Todd C. Headrick,

Mohan D. Pant

Publication year - 2012

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.5402/2012/945627

Subject(s) - order statistic , statistics , remainder , sample (material) , mathematics , sample size determination , order (exchange) , distribution (mathematics) , power (physics) , normal distribution , econometrics , arithmetic , mathematical analysis , economics , physics , finance , quantum mechanics , chemistry , chromatography

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 (3 and 5). The procedure is demonstrated for sample sizes of ≤9. It is shown that 3 and 5 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 ≤5. For sample sizes of =6,7 the expectations of the order statistics for , 3, and 5 only require a single remainder term.

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