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    Mixed rectangular pulses models of rainfall

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    Abstract
    In a recent paper ((3)) a fitting procedure for the Neyman-Scott rectangular pulses (NSRP) spatial-temporal model of rainfall was developed. In that paper, the NSRP third moment function was fitted to the equivalent sample value taken at one-hour time intervals. In this paper, the fitting and modelling procedure are extended to ensure a close fit is obtained to further sample properties over a range of time scales. The stochastic model is a ‘mixed’ model obtained as the superposition of two independent NSRP processes. The model is fitted to hourly data from Auckland, New Zealand, where a good fit to sample properties is obtained. It is found that a special case arises (the superposition of an NSRP process and a Poisson rectangular pulses process) for data over the summer period. A simulation study of extremes over a range of time scales supports the use of the model in hydrological applications.
    Citation
    Cowperthwait, P.S.P. (2003), Mixed rectangular pulses models of rainfall, Research Letters in the Information and Mathematical Sciences, 5, 61-70
    Date
    2003
    Author
    Cowpertwait, P.S.P.
    Publisher
    Massey University
    URI
    http://hdl.handle.net/10179/4409
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    • Research Letters in the Information and Mathematical Sciences
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