Tests for Parameters of Two-parametric Uniform Distribution, u(θ_1,θ_2 )

Authors

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

Keywords:

Asymptotic tests, conditional distribution, power function, UMPU test, uniform distribution

Abstract

In this article, we have presented tests related to the parameters of uniform distribution defined on the interval (q1, q2). The conditional distribution of complete sufficient statistics of the parameter of interest is obtained by conditioning the distribution of complete sufficient statistics of the nuisance parameter to be held fixed. Using this conditional distribution, uniformly most powerful unbiased (UMPU) test or uniformly most powerful invariant (UMPI) asymptotic tests have been derived for testing (i) one parameter is larger than the parameter of another distribution and (ii) the equality of parameter of two uniform distributions. Also, the corresponding power functions have been given. 

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Published

2021-09-15

Issue

Vol. 10 No. 2 (2021)

Section

Review Article

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