eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2017-11-15 5 4 125 135 10.12691/ajams-5-4-3 AJAMS2017543 article Mezbahur Rahman mezbahur.rahman@mnsu.edu 1 Han Wu 1 Department of Mathematics and Statistics, Minnesota State University, Mankato, MN 56001, USA The exponential distribution is considered in situtations where intervals between events are considered as well as where a skewed distribution is appropriate. The exponential distribution also plays key role in survival analysis. Goodness-of-fit for exponentiality is crucial as, in the natural sciences, some of the commonly used distributions such as gamma and Weibull distributions are just translated versions of the exponential distributions. Several well known exponentiality tests are reviewed. A power comparison is performed using simulation. http://pubs.sciepub.com/ajams/5/4/3/ajams-5-4-3.pdf Ahsanullah characterization Gini statistic Pietra statistic Rossberg characterization