Moments of Ordered Statistics Approach for Discrimination

Test statistics based on moments of ordered statistics are proposed for discriminating between the null population, Inverse Rayleigh Distribution (IRD), and two successive alternative populations, Rayleigh Distribution (RD) and Inverse Half Logistic Distribution (IHLD). Due to the intractability of exact sampling distributions, the percentiles of the proposed test statistics are computed using simulated sampling distributions. The powers of the test statistics are also computed and compared. A comparative study of the powers is presented for a given sample size, evaluating the effectiveness of the proposed test statistics.