Goodness-of-fit tests for the Gompertz distribution

The Gompertz distribution is often fitted to lifespan data, however testing whether the fit satisfies theoretical criteria was neglected. Here five goodness-of-fit measures, the Anderson-Darling statistic, the Kullback-Leibler discrimination information, the correlation coefficient test, testing for the mean of the sample hazard and a nested test against the generalized extreme value distributions are discussed. Along with an application to laboratory rat data, critical values calculated by the empirical distribution
of the test statistics are also presented.