### Abstract

An important problem in water resources engineering is the estimation of the flood magnitude for a certain return period. In flood frequency analysis, an assumed probability distribution is fitted to the available sample data to estimate the flood magnitude at the upper tail corresponding to return periods which are usually much larger than the record length. In most cases, the selection of an appropriate probability distribution is based on goodness-of-fit tests. However, previous goodness-of-fit tests give equal weight to differences between empirical and theoretical distribution functions corresponding to all the observations. In this study, the modified Anderson-Darling test statistics which can give different weights to given data are provided using simulation. And the regression equations for the modified Anderson-Darling test statistics are derived as a function of sample sizes and significance levels for the generalized extreme value and generalized logistic distributions.

Original language | English |
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Title of host publication | World Environmental and Water Resources Congress 2010 |

Subtitle of host publication | Challenges of Change - Proceedings of the World Environmental and Water Resources Congress 2010 |

Pages | 2371-2378 |

Number of pages | 8 |

DOIs | |

Publication status | Published - 2010 Aug 2 |

Event | World Environmental and Water Resources Congress 2010: Challenges of Change - Providence, RI, United States Duration: 2010 May 16 → 2010 May 20 |

### Publication series

Name | World Environmental and Water Resources Congress 2010: Challenges of Change - Proceedings of the World Environmental and Water Resources Congress 2010 |
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### Other

Other | World Environmental and Water Resources Congress 2010: Challenges of Change |
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Country | United States |

City | Providence, RI |

Period | 10/5/16 → 10/5/20 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Water Science and Technology

### Cite this

*World Environmental and Water Resources Congress 2010: Challenges of Change - Proceedings of the World Environmental and Water Resources Congress 2010*(pp. 2371-2378). (World Environmental and Water Resources Congress 2010: Challenges of Change - Proceedings of the World Environmental and Water Resources Congress 2010). https://doi.org/10.1061/41114(371)245

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*World Environmental and Water Resources Congress 2010: Challenges of Change - Proceedings of the World Environmental and Water Resources Congress 2010.*World Environmental and Water Resources Congress 2010: Challenges of Change - Proceedings of the World Environmental and Water Resources Congress 2010, pp. 2371-2378, World Environmental and Water Resources Congress 2010: Challenges of Change, Providence, RI, United States, 10/5/16. https://doi.org/10.1061/41114(371)245

**Derivation of the modified Anderson-Darling test statistics for the generalized extreme value and generalized logistic distributions.** / Shin, Hongjoon; Kim, Taesoon; Kim, Sooyoung; Jung, Younghun; Heo, Jun Haeng.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Derivation of the modified Anderson-Darling test statistics for the generalized extreme value and generalized logistic distributions

AU - Shin, Hongjoon

AU - Kim, Taesoon

AU - Kim, Sooyoung

AU - Jung, Younghun

AU - Heo, Jun Haeng

PY - 2010/8/2

Y1 - 2010/8/2

N2 - An important problem in water resources engineering is the estimation of the flood magnitude for a certain return period. In flood frequency analysis, an assumed probability distribution is fitted to the available sample data to estimate the flood magnitude at the upper tail corresponding to return periods which are usually much larger than the record length. In most cases, the selection of an appropriate probability distribution is based on goodness-of-fit tests. However, previous goodness-of-fit tests give equal weight to differences between empirical and theoretical distribution functions corresponding to all the observations. In this study, the modified Anderson-Darling test statistics which can give different weights to given data are provided using simulation. And the regression equations for the modified Anderson-Darling test statistics are derived as a function of sample sizes and significance levels for the generalized extreme value and generalized logistic distributions.

AB - An important problem in water resources engineering is the estimation of the flood magnitude for a certain return period. In flood frequency analysis, an assumed probability distribution is fitted to the available sample data to estimate the flood magnitude at the upper tail corresponding to return periods which are usually much larger than the record length. In most cases, the selection of an appropriate probability distribution is based on goodness-of-fit tests. However, previous goodness-of-fit tests give equal weight to differences between empirical and theoretical distribution functions corresponding to all the observations. In this study, the modified Anderson-Darling test statistics which can give different weights to given data are provided using simulation. And the regression equations for the modified Anderson-Darling test statistics are derived as a function of sample sizes and significance levels for the generalized extreme value and generalized logistic distributions.

UR - http://www.scopus.com/inward/record.url?scp=77954990184&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954990184&partnerID=8YFLogxK

U2 - 10.1061/41114(371)245

DO - 10.1061/41114(371)245

M3 - Conference contribution

AN - SCOPUS:77954990184

SN - 9780784411148

T3 - World Environmental and Water Resources Congress 2010: Challenges of Change - Proceedings of the World Environmental and Water Resources Congress 2010

SP - 2371

EP - 2378

BT - World Environmental and Water Resources Congress 2010

ER -