The uniformly more powerful tests than the likelihood ratio test using intersection-union hypotheses for exponential distribution
Year: 2025
Type: article
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.
Authors: Zahra Niknam, Rahim Chinipardaz
Institution: Shahid Chamran University of Ahvaz
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4416895012
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