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Titel |
Confidence intervals for the coefficient of L-variation in hydrological applications |
VerfasserIn |
A. Viglione |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1027-5606
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Digitales Dokument |
URL |
Erschienen |
In: Hydrology and Earth System Sciences ; 14, no. 11 ; Nr. 14, no. 11 (2010-11-11), S.2229-2242 |
Datensatznummer |
250012480
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Publikation (Nr.) |
copernicus.org/hess-14-2229-2010.pdf |
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Zusammenfassung |
The coefficient of L-variation (L-CV) is commonly used in statistical
hydrology, in particular in regional frequency analysis, as a measure of
steepness for the frequency curve of the hydrological variable of interest.
As opposed to the point estimation of the L-CV, in this work we are
interested in the estimation of the interval of values (confidence interval)
in which the L-CV is included at a given level of probability (confidence
level). Several candidate distributions are compared in terms of their
suitability to provide valid estimators of confidence intervals for the
population L-CV. Monte-Carlo simulations of synthetic samples from
distributions frequently used in hydrology are used as a basis for the
comparison. The best estimator proves to be provided by the log-Student t
distribution whose parameters are estimated without any assumption on the
underlying parent distribution of the hydrological variable of interest. This
estimator is shown to also outperform the non parametric bias-corrected and
accelerated bootstrap method. An illustrative example of how this result can
be used in hydrology is presented, namely in the comparison of methods for
regional flood frequency analysis. In particular, it is shown that the
confidence intervals for the L-CV can be used to assess the amount of spatial
heterogeneity of flood data not explained by regionalization models. |
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