The uniformly more powerful tests than the likelihood ratio test using intersection-union hypotheses for exponential distribution

Authors

  • Zahra Niknam Deparment of Statistics, Faculty of Mathematics and Computer Science, Shahid Chamran University of Ahvaz, Ahvaz, Iran
  • Rahim Chinipardaz Deparment of Statistics, Faculty of Mathematics and Computer Science, Shahid Chamran University of Ahvaz, Ahvaz, Iran

DOI:

https://doi.org/10.19139/soic-2310-5070-2496

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.

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Published

2025-09-26

Issue

Vol. 14 No. 6 (2025)

Section

Research Articles

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How to Cite

The uniformly more powerful tests than the likelihood ratio test using intersection-union hypotheses for exponential distribution. (2025). Statistics, Optimization & Information Computing, 14(6), 3026-3044. https://doi.org/10.19139/soic-2310-5070-2496