The Best Test of Exponentiality against Singly Truncated Normal Alternatives
Joan del Castillo, Pedro Puig · Journal of the American Statistical Association · 1999
We show that the likelihood ratio test of exponentiality against singly truncated normal alternatives is the uniformly most powerful unbiased test and can be expressed in terms of the sampling coefficient of variation. This test is closely related to Greenwood's statistic for testing departures from the uniform distribution. We provide a way to approximate the critical points of the test, using saddlepoint methods, that gives a high degree of accuracy.