On the Discrimination between the Inverse Gaussian and Lognormal Distributions

Abstract

Both inverse Gaussian and lognormal distributions have been used among many well-known failure time distributions with positively skewed data. The problem of selecting between them is considered. The logarithm of maximum likelihood ratio has been used as a test for discriminating between these two distributions. The test has been carried out on nine different real data sets and three simulated data sets. Keywords: Inverse Gaussian distribution, lognormal distribution, Ratio maximum likelihood, Discrimination.