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It is shown how to derive the exact distribution of the number of axis crossings by a stationary process when the binary process obtained by clipping the ori g inal process is a pth -order F4arkov chain. The same method is used in deriving the asymptotic distribution of the number of upcro ssings of a hi gh leve l by a stationary process.doi:10.21236/ada046603 fatcat:3iy7iei5zfes3pxzckivfnxx5a