A New Goodness-of-Fit Test for the Logistic Distribution

Abstract

The logistic distribution has been widely used to model growth curves in survival analysis and biological studies. In this article, we propose a goodness of fit test for the logistic distribution based on a new estimate of KullbackLeibler information. The properties of the test statistic are presented. In order to compute the proposed test statistic, parameters of the logistic distribution are estimated by approximate maximum likelihood estimators (AMLEs) suggested by Balakrishnan and Cohen (1990), which are simple explicit estimators. Through a simulation study, power values of the proposed test are compared with some prominent existing tests. Finally, an illustrative example is presented and analyzed.