This is a part of the serial studies on the experimental method to infer fatigue life of a structural member under service loadings. When a load profile can be approximated by a narrow band stationary Gaussian random process, it has been pointed out that random fatigue tests are easily done with a personal computer by simulating the envelope of the process by FFT. However, it may not be realistic to repeat a time and cost consuming test to get the probability distribution function of fatigue life. In this study a method is proposed to make the total experimental hours as short as possible by eliminating small amplitude cycles, that is, an experimental procedure is established to see the effect of the elimination and determine the cut-off-level beforehand.