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

Y1 - 2010

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.

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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

T2 - World Environmental and Water Resources Congress 2010: Challenges of Change

Y2 - 16 May 2010 through 20 May 2010

ER -