Journal of Statistical Theory and Applications

Volume 18, Issue 2, June 2019, Pages 136 - 146

A New Nonparametric Test for Two Sample Multivariate Location Problem with Application to Astronomy

Authors
Soumita Modak, Uttam Bandyopadhyay*
Department of Statistics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata-700019, India
*Corresponding author. Email: ubandyopadhyay08@gmail.com
Corresponding Author
Uttam Bandyopadhyay
Received 12 February 2018, Accepted 25 January 2019, Available Online 18 June 2019.
DOI
10.2991/jsta.d.190515.002How to use a DOI?
Keywords
Nonparametric multivariate test; combination of Wilcoxon rank-sum tests; outliers; large sample distribution; astronomical data; compatibility test
Abstract

This paper provides a nonparametric test for the identity of two multivariate continuous distribution functions when they differ in locations. The test uses Wilcoxon rank-sum statistics on distances between observations for each of the components and is unaffected by outliers. It is numerically compared with two existing procedures in terms of power. The simulation study shows that its power is strictly increasing in the sample sizes and/or in the number of components. The applicability of this test is demonstrated by use of two astronomical data sets on early-type galaxies.

Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
18 - 2
Pages
136 - 146
Publication Date
2019/06/18
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.190515.002How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Soumita Modak
AU  - Uttam Bandyopadhyay
PY  - 2019
DA  - 2019/06/18
TI  - A New Nonparametric Test for Two Sample Multivariate Location Problem with Application to Astronomy
JO  - Journal of Statistical Theory and Applications
SP  - 136
EP  - 146
VL  - 18
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.190515.002
DO  - 10.2991/jsta.d.190515.002
ID  - Modak2019
ER  -