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Order statistics and their concomitants from multivariate normal mean–variance mixture distributions with application to Swiss Markets Data

Authors :
Reza Pourmousa
Narayanaswamy Balakrishnan
Ahad Jamalizadeh
Mehdi Amiri
Source :
Communications in Statistics - Theory and Methods. 46:10991-11009
Publication Year :
2016
Publisher :
Informa UK Limited, 2016.

Abstract

In this article, by considering a multivariate normal mean–variance mixture distribution, we derive the exact joint distribution of linear combinations of order statistics and their concomitants. From this general result, we then deduce the exact marginal and conditional distributions of order statistics and their concomitants arising from this distribution. We finally illustrate the usefulness of these results by using a Swiss markets dataset.

Details

ISSN :
1532415X and 03610926
Volume :
46
Database :
OpenAIRE
Journal :
Communications in Statistics - Theory and Methods
Accession number :
edsair.doi...........aa6daf30b1f85ab7f60b63989ea88c63
Full Text :
https://doi.org/10.1080/03610926.2016.1257719