Uncertainty Assessment of Hydrological Frequency Analysis Using Bootstrap Method
Joint Authors
Hu, Yi-Ming
Liang, Zhong-Min
Li, Bin-Quan
Yu, Zhongbo
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-30
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The hydrological frequency analysis (HFA) is the foundation for the hydraulic engineering design and water resources management.
Hydrological extreme observations or samples are the basis for HFA; the representativeness of a sample series to the population distribution is extremely important for the estimation reliability of the hydrological design value or quantile.
However, for most of hydrological extreme data obtained in practical application, the size of the samples is usually small, for example, in China about 40~50 years.
Generally, samples with small size cannot completely display the statistical properties of the population distribution, thus leading to uncertainties in the estimation of hydrological design values.
In this paper, a new method based on bootstrap is put forward to analyze the impact of sampling uncertainty on the design value.
By bootstrap resampling technique, a large number of bootstrap samples are constructed from the original flood extreme observations; the corresponding design value or quantile is estimated for each bootstrap sample, so that the sampling distribution of design value is constructed; based on the sampling distribution, the uncertainty of quantile estimation can be quantified.
Compared with the conventional approach, this method provides not only the point estimation of a design value but also quantitative evaluation on uncertainties of the estimation.
American Psychological Association (APA)
Hu, Yi-Ming& Liang, Zhong-Min& Li, Bin-Quan& Yu, Zhongbo. 2013. Uncertainty Assessment of Hydrological Frequency Analysis Using Bootstrap Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010501
Modern Language Association (MLA)
Hu, Yi-Ming…[et al.]. Uncertainty Assessment of Hydrological Frequency Analysis Using Bootstrap Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1010501
American Medical Association (AMA)
Hu, Yi-Ming& Liang, Zhong-Min& Li, Bin-Quan& Yu, Zhongbo. Uncertainty Assessment of Hydrological Frequency Analysis Using Bootstrap Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010501
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010501