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A doubly stochastic rainfall model with exponentially decaying pulses

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Title: A doubly stochastic rainfall model with exponentially decaying pulses
Authors: Ramesh, N
Garthwaite, A
Onof, C
Item Type: Journal Article
Abstract: We develop a doubly stochastic point process model with exponentially decaying pulses to describe the statistical properties of the rainfall intensity process. Mathematical formulation of the point process model is described along with second-order moment characteristics of the rainfall depth and aggregated processes. The derived second-order properties of the accumulated rainfall at different aggregation levels are used in model assessment. A data analysis using 15 years of sub-hourly rainfall data from England is presented. Models with fixed and variable pulse lifetime are explored. The performance of the model is compared with that of a doubly stochastic rectangular pulse model. The proposed model fits most of the empirical rainfall properties well at sub-hourly, hourly and daily aggregation levels.
Issue Date: 1-Jun-2018
Date of Acceptance: 23-Oct-2017
URI: http://hdl.handle.net/10044/1/53060
DOI: https://dx.doi.org/10.1007/s00477-017-1483-z
ISSN: 1436-3240
Publisher: Springer Verlag
Start Page: 1645
End Page: 1664
Journal / Book Title: Stochastic Environmental Research and Risk Assessment
Volume: 32
Issue: 6
Copyright Statement: © The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Keywords: Science & Technology
Technology
Life Sciences & Biomedicine
Physical Sciences
Engineering, Environmental
Engineering, Civil
Environmental Sciences
Statistics & Probability
Water Resources
Engineering
Environmental Sciences & Ecology
Mathematics
Doubly stochastic
Point process
Rainfall intensity
Exponential pulse
Accumulated rainfall
MODULATED POISSON PROCESSES
POINT PROCESS MODELS
CLUSTER MODEL
MOMENTS
09 Engineering
01 Mathematical Sciences
Strategic, Defence & Security Studies
Publication Status: Published
Online Publication Date: 2017-11-04
Appears in Collections:Faculty of Engineering
Civil and Environmental Engineering



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