Methods for Testing Population Signal-to-Noise Ratio

Abstract

This article considered several test statistics for testing the population signal-to-noise ratio based on parametric, nonparametric, and modified methods. To compare the performance of the proposed test statistics, a simulation study has been conducted under both symmetric and skewed distributions. The performance of the test statistics is compared based on the empirical size and power of the test. It is evident for large sample that some of our proposed test statistics are performing better in the sense of high power and have been recommended for the researchers.

KEYWORDS:

• Empirical power
• Signal-to-noise ratio
• Simulation study
• Skewed distributions
• Test Statistics

Mathematics Subject Classification:

• 62F03
• 62F99

Acknowledgments

The authors are thankful to all referees for their valuable comments and suggestions which certainly improved the quality and presentation of the article.