Power Evaluation of Some Tests for Inverse Rayleigh Distribution

The Inverse Rayleigh distribution has many applications in the area of reliability studies. It is regarded as a model for a lifetime random variable. It is essential to develop an efficient goodness-of-fit test for this distribution. In this paper, the problem of the goodness-of-fit test for the Inverse Rayleigh distribution based on different statistics is studied. Each method is described, and the corresponding test statistics are constructed. The critical values and power comparisons are also obtained using Monte Carlo computations. The results are discussed and interpreted separately.