On the exact joint distribution of a linear combination of order statistics and their concomitants in an exchangeable multivariate normal distribution

Ayyub Sheikhi (), Yaser Mehrali and Mahbanoo Tata

Statistical Papers, 2013, vol. 54, issue 2, 325-332

Abstract: In this work we prove that for an exchangeable multivariate normal distribution the joint distribution of a linear combination of order statistics and a linear combination of their concomitants together with an auxiliary variable is skew normal. We also investigate some special cases, thus extending the results of Olkin and Viana (J Am Stat Assoc 90:1373–1379, 1995 ), Loperfido (Test 17:370–380, 2008a ) and Sheikhi and Jamalizadeh (Paper 52:885–892, 2011 ). Copyright Springer-Verlag 2013

Keywords: Unified skew normal; L-statistic; Exchangeable multivariate normal distribution; Order statistic; Concomitant; 62G30 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s00362-012-0430-9

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