Empirical distribution function (EDF) goodness-of-fit tests are considered for the generalized Poisson distribution. The tests are compared with respect to their simulated small sample power of detecting some alternative distributions. The small sample levels of the tests are close to the nominal significance levels. The discrete version of the Anderson-Darling test is found to be the most powerful among the EDF tests. A numerical example is used to illustrate the application of the goodness-of-fit tests.
- Generalized Poisson distribution
- Parametric bootstrap