The impact of periodicity on the zerocrossings of random functionsTools Wilson, Lorna Rachel Maven (2015) The impact of periodicity on the zerocrossings of random functions. PhD thesis, University of Nottingham.
AbstractContinuous random processes are used to model a huge variety of real world phenomena. In particular, the zerocrossings of such processes find application in modelling processes of diffusion, meteorology, genetics, finance and applied probability. Understanding the zerocrossings behaviour improves prediction of phenomena initiated by a threshold crossing, as well as extremal problems where the turning points of the process are of interest. To identify the Probability Density Function (PDF) for the times between successive zerocrossings of a stochastic process is a challenging problem with a rich history.
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