Extensions of the Bartlett-Lewis model for rainfall processes
While the Bartlett-Lewis model has been widely used for modelling rainfall processes at a fixed point in space over time, there are observed features, such as longer-scale dependence, which are not well fitted by the model. In this paper, we study an extension where we put an extra layer in the clus...
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crsagepubl:10.1191/1471082x02st049oa 2023-05-15T17:33:15+02:00 Extensions of the Bartlett-Lewis model for rainfall processes Salim, Agus Pawitan, Yudi 2003 http://dx.doi.org/10.1191/1471082x02st049oa http://journals.sagepub.com/doi/pdf/10.1191/1471082X02st049oa en eng SAGE Publications http://journals.sagepub.com/page/policies/text-and-data-mining-license Statistical Modelling volume 3, issue 2, page 79-98 ISSN 1471-082X 1477-0342 Statistics, Probability and Uncertainty Statistics and Probability journal-article 2003 crsagepubl https://doi.org/10.1191/1471082x02st049oa 2022-07-03T16:08:14Z While the Bartlett-Lewis model has been widely used for modelling rainfall processes at a fixed point in space over time, there are observed features, such as longer-scale dependence, which are not well fitted by the model. In this paper, we study an extension where we put an extra layer in the clustered Poisson process of storm origins. We also investigate the Pareto inter-arrival time for the storm origins, which has been used to model web-traffic data. We derive the theoretical first and second-order properties of the multi-layer clustered Poisson processes, but generally we have to rely on Monte Carlo techniques. The models are fitted to hourly rainfall data from Valentia observatory in southwest Ireland, where the extensions are shown to improve on the standard models. We generalize these models further by allowing some parameters of the models to be a function of some covariates. An application using data from Valentia observatory and Belmullet shows how to use this class of models to analyze the association between the rainfall pattern and the North Atlantic Oscillation (NAO) index. Article in Journal/Newspaper North Atlantic North Atlantic oscillation SAGE Publications (via Crossref) Statistical Modelling 3 2 79 98 |
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SAGE Publications (via Crossref) |
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English |
topic |
Statistics, Probability and Uncertainty Statistics and Probability |
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Statistics, Probability and Uncertainty Statistics and Probability Salim, Agus Pawitan, Yudi Extensions of the Bartlett-Lewis model for rainfall processes |
topic_facet |
Statistics, Probability and Uncertainty Statistics and Probability |
description |
While the Bartlett-Lewis model has been widely used for modelling rainfall processes at a fixed point in space over time, there are observed features, such as longer-scale dependence, which are not well fitted by the model. In this paper, we study an extension where we put an extra layer in the clustered Poisson process of storm origins. We also investigate the Pareto inter-arrival time for the storm origins, which has been used to model web-traffic data. We derive the theoretical first and second-order properties of the multi-layer clustered Poisson processes, but generally we have to rely on Monte Carlo techniques. The models are fitted to hourly rainfall data from Valentia observatory in southwest Ireland, where the extensions are shown to improve on the standard models. We generalize these models further by allowing some parameters of the models to be a function of some covariates. An application using data from Valentia observatory and Belmullet shows how to use this class of models to analyze the association between the rainfall pattern and the North Atlantic Oscillation (NAO) index. |
format |
Article in Journal/Newspaper |
author |
Salim, Agus Pawitan, Yudi |
author_facet |
Salim, Agus Pawitan, Yudi |
author_sort |
Salim, Agus |
title |
Extensions of the Bartlett-Lewis model for rainfall processes |
title_short |
Extensions of the Bartlett-Lewis model for rainfall processes |
title_full |
Extensions of the Bartlett-Lewis model for rainfall processes |
title_fullStr |
Extensions of the Bartlett-Lewis model for rainfall processes |
title_full_unstemmed |
Extensions of the Bartlett-Lewis model for rainfall processes |
title_sort |
extensions of the bartlett-lewis model for rainfall processes |
publisher |
SAGE Publications |
publishDate |
2003 |
url |
http://dx.doi.org/10.1191/1471082x02st049oa http://journals.sagepub.com/doi/pdf/10.1191/1471082X02st049oa |
genre |
North Atlantic North Atlantic oscillation |
genre_facet |
North Atlantic North Atlantic oscillation |
op_source |
Statistical Modelling volume 3, issue 2, page 79-98 ISSN 1471-082X 1477-0342 |
op_rights |
http://journals.sagepub.com/page/policies/text-and-data-mining-license |
op_doi |
https://doi.org/10.1191/1471082x02st049oa |
container_title |
Statistical Modelling |
container_volume |
3 |
container_issue |
2 |
container_start_page |
79 |
op_container_end_page |
98 |
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1766131697393336320 |