The uniformly more powerful tests than the likelihood ratio test using intersection-union hypotheses for exponential distribution
Keywords:
Intersection-union test, Likelihood ratio test, More powerful test, Rectangle test, Smoother test.
Abstract
In practice, we may encounter hypotheses that the parameters under test have typical restrictions. These restrictions can be placed in the null or alternative hypotheses. In such a case, the hypothesis is not included in the classical hypothesis testing framework. Therefore, statisticians are looking for the more powerful tests, rather than the most powerful tests. A common method for such tests is to use intersection-union and union-intersection tests. In this paper, we derived the testing procedure of a simple intersection-union and compared it with the likelihood ratio test. We also compare the powers of two exponential sign tests, the rectangle test and smoother test, and the simple intersection-union test with the likelihood ratio test.
Published
2025-09-26
How to Cite
Niknam, Z., & Chinipardaz, R. (2025). The uniformly more powerful tests than the likelihood ratio test using intersection-union hypotheses for exponential distribution. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2496
Issue
Section
Research Articles
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