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Discrimination between two Inverted Distributions

R. Subba Rao*, Pushpa Latha Mamidi**, R. R. L. Kantam***

* Professor, Department of Mathematics, SRKR Engineering College, Bhimavaram, Andhra Pradesh, India.

** Assistant Professor, Department of Mathematics, Vishnu Institute of Technology, Bhimavaram, Andhra Pradesh, India.

*** Retired Professor, Department of Statistics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur, Andhra Pradesh, India.

Periodicity:July - September'2016
DOI : https://doi.org/10.26634/jmat.5.3.8225

Abstract

Two popular life testing models, namely Rayleigh distribution, Half Logistic distributions are considered. The inverted versions of these two distributions are worked out. The graphs of the frequency curves for these distributions on the same scale look identical, which drives to the motivation of testing whether one distribution can be used as an alternative to the other. Between these two distributions Inverse Rayleigh Distribution (IRD) appears in literature earlier than Inverse Half Logistic Distribution (IHLD). The authors have proposed to test IHLD as an alternative model to IRD. In statistical testing of hypothesis, they consider IRD as a null population and IHLD an alternative population and proposed a Likelihood Ratio test procedure to test this hypothesis. The critical values of the test statistic, the power of the test procedure are computed in order to assess the validity of the hypotheses.

Keywords

Life Testing Models, Inverted Distributions, ML Estimation, Likelihood Function, Level of Significance, Power of the Test.

How to Cite this Article?

Rao,R.S., Mamidi,P.L., and Kantam,R.R.L. (2016). Discrimination between two Inverted Distributions. i-manager’s Journal on Mathematics, 5(3), 27-31. https://doi.org/10.26634/jmat.5.3.8225

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