A Test for the Two-Sample Problem Using Mutual Information to Fix Information Leak in e-Passports
For two independently drawn samples from continuous distributions, a statistical test based on the mutual information statistic is proposed for the null hypothesis that both the samples originate from the same population. It is demonstrated through simulation that this test is more powerful than the commonly used nonparametric tests in many situations. As an application the authors discuss the information leak of e-passports. Using the mutual information based tests, they show that it is possible to trace a passport by comparing the time taken to respond to a recorded message.