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Inference about the Ratio of the Coefficients of Variation of Two Independent Symmetric or Asymmetric Populations

1
Teaching and Research Section of Public Education, Hainan Radio and TV University, No.20 Haidianerxi Road, Meilan District, Haikou 570208, Hainan, China
2
Department of Mathematics, Faculty of Art and Sciences, Cankaya University, 0630 Ankara, Turkey
3
Institute of Space Sciences, 077125 Magurele-Bucharest, Romania
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(6), 824; https://doi.org/10.3390/sym11060824
Received: 23 May 2019 / Revised: 13 June 2019 / Accepted: 20 June 2019 / Published: 21 June 2019
(This article belongs to the Special Issue Symmetry in Applied Continuous Mechanics)
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Abstract

Coefficient of variation (CV) is a simple but useful statistical tool to make comparisons about the independent populations in many research areas. In this study, firstly, we proposed the asymptotic distribution for the ratio of the CVs of two separate symmetric or asymmetric populations. Then, we derived the asymptotic confidence interval and test statistic for hypothesis testing about the ratio of the CVs of these populations. Finally, the performance of the introduced approach was studied through simulation study. View Full-Text
Keywords: coefficient of variation; ratio; symmetric and asymmetric distributions; test of hypothesis coefficient of variation; ratio; symmetric and asymmetric distributions; test of hypothesis
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Yue, Z.; Baleanu, D. Inference about the Ratio of the Coefficients of Variation of Two Independent Symmetric or Asymmetric Populations. Symmetry 2019, 11, 824.

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