On Asymptotic Testing of the Parameters of Two Pareto Distributions

M.B. Bhatt¹ , S.R. Patel² , P. Nandy³

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.355-358, Apr-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.355358

Online published on Apr 30, 2019

Copyright © M.B. Bhatt, S.R. Patel, P. Nandy . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
Considering two independent Pareto distributions we have obtained the asymptotic tests for the parameters in this article. After getting the distribution of the sum of the transformed variables, the conditional distribution of complete sufficient statistic of interest has been obtained by fixing the sum of the transformed variables. This conditional distribution is used to obtain the tests for testing. (i) one parameter is larger than the other and (ii) equality of both parameters. Further the power functions of the asymptotic tests have been derived and some power points have been presented.

Key-Words / Index Term :
Asymptotic Distributions, Asymptotic tests, ParetoDistributions, Conditional tests

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