Mathematical models of rainstorm events in space and time

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Abstract
The spatial and temporal structure of rainfall from storm events is investigated using point process techniques. Cells are assumed to be distributed in space either independently according to a Poisson process, or with clustering according to a Neyman‐Scott scheme. Cells are born randomly through the storm and their rain is spread in time and space according to functions which may include random parameters. Two processes are studied: the rainfall intensity process which in reality is never measured and the cumulative rainfall process through the life of the storm. The mean, variance, and covariance structure are obtained for both processes under the different assumed models.

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