Journal of Statistical Theory and Applications

Volume 18, Issue 2, June 2019, Pages 155 - 170

A Generalization of the Sukhatme's Test for Two-Sample Scale Problem

Authors
Manish Goyal, Narinder Kumar*
Department of Statistics, Panjab University, Chandigarh, India
*Corresponding author. Email: nkumar@pu.ac.in
Corresponding Author
Narinder Kumar
Received 17 October 2017, Accepted 1 May 2018, Available Online 4 June 2019.
DOI
10.2991/jsta.d.190524.002How to use a DOI?
Keywords
Sukhatme statistics; Subsample; Asymptotic distribution; Pitman efficiency; p-value; Simulation study
Abstract

In this paper, we present nonparametric tests for the two-sample scale problem. The proposed tests include as special case the B.V. Sukhatme, Ann. Math. Stat. 28 (1957), 188–194, and J.V. Deshpande, K. Kusum, Aust. J. Stat. 26 (1984), 16–24 tests. The asymptotic distribution of the test statistics is derived and its Pitman efficiency is worked out with respect to some competing tests. For the illustrative purpose, a numerical example for a real life data set is provided. The simulation study is carried out to assess the power of proposed tests.

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
155 - 170
Publication Date
2019/06/04
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.190524.002How 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  - Manish Goyal
AU  - Narinder Kumar
PY  - 2019
DA  - 2019/06/04
TI  - A Generalization of the Sukhatme's Test for Two-Sample Scale Problem
JO  - Journal of Statistical Theory and Applications
SP  - 155
EP  - 170
VL  - 18
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.190524.002
DO  - 10.2991/jsta.d.190524.002
ID  - Goyal2019
ER  -