Some Asymptotic Power Points for Testing the Parameters of Two Generalized Uniform Distributions

Authors

  • Bhatt Milind B. Sardar Patel University
  • Patel S. R. Sardar Patel University
  • Nandy Pratik B. Sardar Patel University

Keywords:

Asymptotic distributions, asymptotic test, generalized uniform distributions, conditional tests.

Abstract

In this paper, after getting the general form of the power functions for testing the one-sided and two-sided tests for generalized uniform distribution. Power points of some of the power functions of asymptotic tests are calculated and presented. The asymptotic tests for testing the parameters of generalized uniform distribution requires the conditional distribution of the complete sufficient statistic of the parameters of interest and also that of the nuisance parameter. The asymptotic test is Uniformly Most Powerful Invariant (UMPI).


Keywords: Asymptotic distributions, Asymptotic test, Generalized uniform distributions, Conditional tests.

Cite this Article
Bhatt Milind B., Patel S.R., Nandy Pratik B. Some Asymptotic Power Points for Testing the Parameters Of Two Generalized Uniform Distributions. Research & Reviews: Journal of Statistics. 2019; 8(2): 29–33p.

Author Biographies

  • Bhatt Milind B., Sardar Patel University

    Reteired Prof. MIlind B Bhatt

    Department of statistics 

    Sardar Patel University

    Vallabh Vidyanagar, Anand, Gujarat

  • Patel S. R., Sardar Patel University

    Prof. MIlind B Bhatt

    Department of statistics 

    Sardar Patel University

    Vallabh Vidyanagar, Anand, Gujarat

  • Nandy Pratik B., Sardar Patel University
    Project Fellow under Science and Engineering Research Board (SERB), Department of Statistics,Sardar Patel University, Vallabh Vidyanagar-388120,Dist : Anand, State : Gujarat.

References

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Handa, at el(2005) Test of equality of two exponential distributions with common known coefficient of variation.Comm. Statist. Theory Methods, Volume34,No. 11 pages 2147-2155.

Bhatt, Millind. B.(1991). Ph.D thesis. Library Sradar Patel University, Vallabh. Vidyanagar - 388120, India.

Bhatt, Millind. B.andPatel, S. R.(1999) Asymptotic Distribution for the Order Statistics of a TruncatedOne-Parameter Family of Distributions.Commun. Statist. Theory Method, Volume28, No - 8, pages1823-1855.

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Published

2019-10-10

Issue

Vol. 8 No. 2 (2019)

Section

Research Article

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