Testing exponentiality against harmonic new better than used in expectation ageing classes

In this paper, we present a test statistic for testing exponentiality against Harmonic New Better than Used in Expectation (HNBUE) ageing class based on the Excess Wealth Transform. Considering a sample of size Pitman Asymptotic Relative Efficiency is employed to assess the performance of the test. For HNBUE classes of life distributions, our tests are better than, or well comparable with, other available tests. Numerical simulations are carried out and the critical values of the proposed test are presented.