Abstract
Based on goodness of fit approach a new test for testing exponentiality against harmonic new better than used in expectation upper tail (HNBUET) is proposed. The percentiles of this test are calculated and tabulated for sample size . For some commonly used life distributions in reliability such as linear failure rate, Makeham and Weibull distributions, the Pitman asymptotic efficiency (PAE) and the power of proposed test are calculated. Finally the proposed test is applied to two sets of real data.
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