A bootstrap test for symmetry based on ranked set samples

Drikvandi, Reza; Modarres, Reza; Jalilian, Abdullah H

doi:10.1016/j.csda.2010.11.012

A bootstrap test for symmetry based on ranked set samples

Drikvandi, Reza; Modarres, Reza; Jalilian, Abdullah H

Authors

Dr Reza Drikvandi reza.drikvandi@durham.ac.uk
Associate Professor

Reza Modarres

Abdullah H Jalilian

Abstract

To test the hypothesis of symmetry about an unknown median we propose the maximum of a partial sum process based on ranked set samples. We discuss the properties of the test statistic and investigate a modified bootstrap ranked set sample bootstrap procedure to obtain its sampling distribution. The power of the new test statistic is compared with two existing tests in a simulation study.

Citation

Drikvandi, R., Modarres, R., & Jalilian, A. H. (2011). A bootstrap test for symmetry based on ranked set samples. Computational Statistics & Data Analysis, 55(4), 1807-1814. https://doi.org/10.1016/j.csda.2010.11.012

Journal Article Type	Article
Acceptance Date	Nov 13, 2010
Online Publication Date	Dec 1, 2010
Publication Date	2011-04
Deposit Date	Oct 6, 2020
Publicly Available Date	Nov 2, 2020
Journal	Computational Statistics & Data Analysis
Print ISSN	0167-9473
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	55
Issue	4
Pages	1807-1814
DOI	https://doi.org/10.1016/j.csda.2010.11.012

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Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/

Copyright Statement
© 2010 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/