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In this paper we discuss cycle counting methods, such as rainflow‐, crest‐to‐trough‐, positive peak‐count and different damage accumulation rules, for irregular random loads, which have an infinite number of local extremes in finite intervals, e.g. the fourth spectral moment is infinite. We present conservative bounds for the expected damage for such loads from the uncrossing intensity. These results are illustrated by examples of Gaussian, χ², and Morison‐loads.