Integer Valued Autoregressive Models for Tipping Bucket Rainfall Measurements

Peter Thyregod, Niels Jacob Carstensen, Henrik Madsen, Karsten Arnbjerg-Nielsen

    Research output: Contribution to journalJournal articleResearchpeer-review


    A new method for modelling the dynamics of rain sampled by a tipping bucket rain gauge is proposed. The considered models belong to the class of integer valued autoregressive processes. The models take the autocorelation and discrete nature of the data into account. A first order, a second order and a threshold model are presented together with methods to estimate the parameters of each model. The models are demonstrated to provide a good description of dt from actual rain events requiring only two to four parameters.
    Original languageEnglish
    Pages (from-to)395-411
    Publication statusPublished - 1999

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