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The Rain-Flow-Cycle (RFC) amplitude in an ergodic load process is studied. The ergodic distribution of the RFC-amplitude is defined using the sequence of extremes in the load process. In the special case when the sequence of extremes is an n-step Markov chain, the RFC-distribution is obtained as the solution of a certain functional equation. For a Gaussian load, approximations of the RFC-distribution are proposed, and the transition densities of extremes are approximated using the regression method.
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Igor Rychlik (1988) studied this question.
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