On the order statistics of standard normal-based power method distributions
type: Item
instance of: scholarly article
title: On the order statistics of standard normal-based power method distributions
zbMATH Open document ID: 1264.62043
DOI: 10.5402/2012/945627
author: Todd C. Headrick
author: Mohan D. Pant
published in: ISRN Applied Mathematics
publication date: 2013-06-11T00:00:00Z
review text: Summary: We derive a procedure for determining the expectations of order statistics associated with the standard normal distribution (\(Z\)) and its powers of order three and five (\(Z^3\) and \(Z^5\)). The procedure is demonstrated for sample sizes of \(n \leq 9\). It is shown that \(Z^3\) and \(Z^5\) have expectations of order statistics that are functions of the expectations for \(Z\) and can be expressed in terms of explicit elementary functions for sample sizes of \(n \leq 5\). For sample sizes of \(n = 6, 7\) the expectations of the order statistics for \(Z\), \(Z^3\), and \(Z^5\) only require a single remainder term.
Mathematics Subject Classification ID: 62G30
zbMATH DE Number: 6172991
Wikidata QID: Q58905481
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/945627
OpenAlex ID: W2161792307
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description: scientific article; zbMATH DE number 6172991