Asymptotic Tests for Truncation Parameters of several One-truncation Parameter Family of Distributions

Authors

  • Patel S. R. Dharmsinh Desai University

DOI:

https://doi.org/10.37591/rrjost.v7i3.1380

Keywords:

The modified exponential distribution, asymptotic distribution, Asymptotic UMPU test.

Abstract

Abstract

In this study, the authors have obtained the asymptotic tests for testing equality of truncation parameters of one truncation parameter family of distributions. The asymptotic conditional distribution of complete sufficient statistic of parameter of interest is obtained by conditioning the distribution of complete sufficient statistics of the nuisance parameters. Using this conditional distribution we have derived the asymptotic Uniformly Most Powerful Unbiased (UMPU) tests for testing hypothesis (i) one parameter is larger than the another (ii) the equality of the truncation parameters. Further for = 2, asymptotic UMPU tests have been derived for their truncated parameters and applied the results to specific distributions like uniform, negative exponential, truncated exponential, power function distributions.

 

Keywords: One-parameter truncated distribution, asymptotic conditional distribution, asymptotic UMPU test, uniform distribution, power function distribution, negative exponential distribution

Cite this Article

Patel S. R. On Asymptotic Testing of Truncation Parameters of  One-Parameter Family of Distributions. Research & Reviews: Journal of Statistics. 2018; 7(2): 35–41p.

References

Patel S.R Asymptotic Tests for Truncation Parameters of several One-truncation Parameter Family of distributions, Research & Reviews: Journal of Statistics. 2018

Bhatt M.B, Patel S.R. Asymptotic Test for Parameters of Two Power Function Distributions. Research & Reviews: Journal of Statistics, 2018: 7(1):17-21 p

Bhatt MB. Ph.D Thesis. Sardar Patel University Vallabhvidyanagar, Gujarat, India; 1991.

Lehmann EL. Testing Statistical Hypothesis. Springer, New York. 2005

Bayoud HA, Kittaneh OA. Testing the equality of two exponential Distributions. Communications in Statistics-Simulation and Computation. 2016; 45(7): 2249–56p.

Engelhardt M, Bain LJ. Uniformly most powerful unbiased tests on the scale parameter of a gamma distribution with a nuisance shape parameter. Technometrics. 1977; 2: 77–81p.

Keating JP, Glaser RE, Ketchum NS. Testing hypotheses about the shape parameter of a gamma distribution. Technometrics. 1990; 32: 67–82p.

Kambo NS, Awad AM. Testing equality of location parameters of K exponential distributions. Comm Statist Theory Methods. 1985; 14: 567–85p.

Muirhead R.J. On the distribution of the Likelihood test of Equality of Normal populations. The Canadian Journal of Statistics. 1982: 10: 59-62p

Downloads

Published

2019-02-08

Issue

Vol. 7 No. 3 (2018)

Section

Research Article

License

Declaration and Copyright Transfer Form

(to be completed by authors)

I/ We, the undersigned author(s) of the submitted manuscript, hereby declare, that the above manuscript which is submitted for publication in the STM Journals(s), is not published already in part or whole (except in the form of abstract) in any journal or magazine for private or public circulation, and, is not under consideration of publication elsewhere.

  • I/We will not withdraw the manuscript after 1 week of submission as I have read the Author Guidelines and will adhere to the guidelines.
  • I/We Author(s ) have niether given nor will give this manuscript elsewhere for publishing after submitting in STM Journal(s).
  • I/ We have read the original version of the manuscript and am/ are responsible for the thought contents embodied in it. The work dealt in the manuscript is my/ our own, and my/ our individual contribution to this work is significant enough to qualify for authorship.
  •  I/We also agree to the authorship of the article in the following order:

Author’s name                                    

 

1. ________________

2. ________________

3. ________________

4. ________________

 

We  Author(s) tick this box and would request you to consider it as our signature as we agree to the terms of this Copyright Notice, which will apply to this submission if and when it is published by this journal.