On Confidence Bounds for the Parameter of a Uniform Type Distribution

Authors

  • Shantilal R. Patel Retired Professor, Department of Statistics, Sardar Patel University, Vallabh Vidyanagar, Gujarat, India
  • Suryakant G. Parekh Assistant Professor, Department of Statistics, Faculty of Business Administration, Dharmsinh Desai University, Nadiad, Gujarat, India

Keywords:

Confidence bounds, LRT principle, Truncated parameter, UMP test, Uniform distribution.

Abstract

In this paper we have constructed confidence bounds for the parameter of a uniform type truncated distribution. Using the distribution of order statistic, Uniformly Most Powerful (UMP) test has been developed for testing two-sided alternatives of the parameter. Since the confidence bounds and acceptance region of the test are convertible for each other, the confidence bounds have been obtained. Further by using Likelihood Ratio Test (LRT) principle, test and confidence bounds have been established.

References

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Published

2021-05-10

Issue

Vol. 10 No. 1 (2021)

Section

Review Article

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