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

Civil Engineering

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