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A moment-based empirical likelihood ratio test for exponentiality using the probability integral transformation

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A simple and efficient goodness-of-fit test for exponentiality is developed by exploiting the characterization of the exponential distribution using the probability integral transformation. We adopted the empirical likelihood methodology in constructing the test statistic. The proposed test statistic has a chi-square limiting distribution. For small to moderate sample sizes Monte-Carlo simulations revealed that our proposed tests are much more superior under increasing failure rate (IFR) and bathtub decreasing-increasing failure rate (BFR) alternatives. Real data examples were used to demonstrate the robustness and applicability of our proposed tests in practice.
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Keywords: Characterization; empirical likelihood; exponentiality; goodness-of-fit; moments; omnibus

Document Type: Research Article

Affiliations: Department of Statistics, Faculty of Science and Agriculture, Fort Hare University, Alice, South Africa

Publication date: November 18, 2019

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