Mixed rectangular pulses models of rainfall
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Date
2003
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Massey University
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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.
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Keywords
Rainfall
Citation
Cowperthwait, P.S.P. (2003), Mixed rectangular pulses models of rainfall, Research Letters in the Information and Mathematical Sciences, 5, 61-70