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Research Paper | Statistics | Volume 15 Issue 3, March 2026 | Pages: 908 - 913 | India
Tests for Equality of Coefficients of Variation and Inverse Coefficients of Variation in Multivariate Normal Distribution
Abstract: In this paper, we derived the Wald test for testing the equality of the Coefficients of Variation (CV) and Inverse Coefficients of Variation (ICV) of the multivariate normal distribution. The asymptotic null distribution for both proposed test statistics corresponds to the Chi-square distribution. Comprehensive simulation studies demonstrate that the Wald test based on ICV consistently maintains the nominal significance level and offers greater power compared to its CV, particularly as the Euclidean distance between alternative and null parameter points grows. Considering that far-away alternatives are less relevant for applied research, the Wald test for ICV is recommended for practical use.
Keywords: Coefficient of Variation, Multivariate Normal distribution, Euclidean distance, Wald Test
How to Cite?: Aruna Kalkur T., Aruna Rao K., "Tests for Equality of Coefficients of Variation and Inverse Coefficients of Variation in Multivariate Normal Distribution", Volume 15 Issue 3, March 2026, International Journal of Science and Research (IJSR), Pages: 908-913, https://www.ijsr.net/getabstract.php?paperid=SR26308131452, DOI: https://dx.dx.doi.org/10.21275/SR26308131452