Note on y-truncation: a simple approach to generating bounded distributions for environmental applications

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dc.contributor.authorBardsley, W. Earl
dc.date.accessioned2010-06-04T04:27:02Z
dc.date.available2010-06-04T04:27:02Z
dc.date.issued2007
dc.description.abstractIt may sometimes be desirable to introduce bounds into probability distributions to formalise the presence of upper or lower physical limits to data to which the distribution has been applied. For example, an upper bound in raindrop sizes might be represented by introducing an upper bound to an exponential drop-size distribution. However, the standard method of truncating unbounded probability distributions yields distributions with non-zero probability density at the resulting bounds. In reality it is likely that physical bounding processes in nature increase in intensity as the bound is approached, causing a progressive decline in observation relative frequency to zero at the bound. Truncation below a y-axis point is proposed as a simple alternative means of creating more natural truncated probability distributions for application to data of this type. The resulting “y-truncated” distributions have similarities with the traditional truncated distributions but probability densities have the desirable feature of always declining to zero at the bounds. In addition, the y-truncation approach can also serve in its own right as a meansen_NZ
dc.format.mimetypeapplication/pdf
dc.identifier.citationBardsley, W.E. (2007). Note on y-truncation: a simple approach to generating bounded distributions for environmental applications. Advances in Water Resources, 30(1), 113-117.en_NZ
dc.identifier.doi10.1016/j.advwatres.2006.03.003en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/3929
dc.language.isoen
dc.publisherElsevier
dc.relation.isPartOfAdvances in Water Resourcesen_NZ
dc.rightsThis is an author’s accepted version of an article published in the journal: Advances in Water Resources. ©2007 Elsevier Ltd.en_NZ
dc.subjectbounded distributionen_NZ
dc.subjecttruncated distributionen_NZ
dc.subjectexponential distributionen_NZ
dc.subjectraindrop distributionen_NZ
dc.titleNote on y-truncation: a simple approach to generating bounded distributions for environmental applicationsen_NZ
dc.typeJournal Articleen_NZ
pubs.begin-page113en_NZ
pubs.editionNovemberen_NZ
pubs.elements-id32069
pubs.end-page117en_NZ
pubs.issue1en_NZ
pubs.volume30en_NZ
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