A new exponentiality test was developed by modifying the Lilliefors test of exponentiality. The proposed test considered the sum of all the absolute differences between the exponential cumulative distribution function (CDF) and the sample empirical distribution function (EDF). The proposed test is simple to understand and easy to compute.
Adhikari, Achut and Schaffer, Jay
"Modified Lilliefors Test,"
Journal of Modern Applied Statistical Methods:
1, Article 9.
Available at: http://digitalcommons.wayne.edu/jmasm/vol14/iss1/9