• Journal of The Korean Society of Agricultural Engineers
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• v.51 no.3
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• pp.53-62
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• 2009

This study was carried out to select optimal probability distribution based on design accumulated monthly mean inflow from the viewpoint of drought by Gamma (GAM), Generalized extreme value (GEV), Generalized logistic (GLO), Generalized normal (GNO), Generalized pareto (GPA), Gumbel (GUM), Normal (NOR), Pearson type 3 (PT3), Wakeby (WAK) and Kappa (KAP) distributions for the observed accumulative monthly mean inflow of Chungjudam. L-moment ratio was calculated using observed accumulative monthly mean inflow. Parameters of 10 probability distributions were estimated by the method of L-moments with the observed accumulated monthly mean inflow. Design accumulated monthly mean inflows obtained by the method of L-moments using different methods for plotting positions formulas in the 10 probability distributions were compared by relative mean error (RME) and relative absolute error (RAE) respectively. It has shown that the design accumulative monthly mean inflow derived by the method of L-moments using Weibull plotting position formula in WAK and KAP distributions were much closer to those of the observed accumulative monthly mean inflow in comparison with those obtained by the method of L-moment with the different formulas for plotting positions in other distributions from the viewpoint of RME and RAE.

• Journal of the Earthquake Engineering Society of Korea
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• v.4 no.1
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• pp.13-34
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• 2000

본 연구에서는 서기 2년부터 1977년까지 남.북한 역사지진(A.D 2-1904)과 초기 계기 지진(1905-1977) 목록을 이용하여 남한 지진 규모로 재조정된 지진목록을 작성하였다 역사 지진은 과거의 협소한 인구분포로 인해 지진 기록의 누락이 많앗다 지진 위험도를 작성하기 위해 지진 발생분포와 지체구조의 특성을 고려하여 4개의 지진구(seismic province)를 설정하였다. 각 지진구에서 최대 잠재 지진결정은 Gumbel의 최대치 이론을 이용하였다 제 1수정 점근 함수 분포에서 유한 상한 값(finte upper boundary) 의 존재는 각 지진구에서 발생할 최대 잠재 지진의 진원(source)이 유한하다는 사실과 잘 일치한다. 따라서 이를 근거로 각 지진구에서 10년 , 20년, 30년, 50년 이내에 2% 5% 10% 초과 확률을 갖는 최대 규모지진을 추정하였다 또한 각 지진구에서 유한 지진원은 과거에 발생했던 큰 규모의 특정 지진과 지진 지체구조 정보에 근거하여 결정하였다. 연구결과 조선시대(1392-1904) 의 지진위험도에서는 경주 울산지역과 서울과 평양지역을 따라 높은지반 가속도 값을 보이며 경주지역에서 0.24g의 최대 지반 가속도 값으로 나타났다 계기 지진목록(1905-1998)을 이용한 한반도의 지진 위험도에서는 경주, 울산, 대구 지역에서 0.10-0.12g 의 최대 지반가속도 값을 보였다. 그리고 계기 지진 목록(1905-1998) 만을 이용하여 작성한 서울.경기 지역의 지진 위험도에서는 김포, 잠실 , 성남 지역의 한강을 따라 분포하는 충적층과 강남지역의 지반 운동이 한강 이북의 대보 화강암 지역에 비해 비교적 높은 0.09-0.10g의 지반 가속도를 보이는 것이 특징이다.

• Journal of Korean Society of Water and Wastewater
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• v.24 no.5
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• pp.509-517
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• 2010

Statistical distribution of annual maximum rainfall intensity of 18 cities in Korea was analyzed and applied to the reliability model which can calculate the probability of performance failure of storm sewer. After the analysis, it was found that distribution of annual maximum rainfall intensity of 18 cities in Korea is well matched with Gumbel distribution. Rational equation was used to estimate the load and Manning's equation was used to estimate the capacity in reliability function to calculate the probability of performance failure of storm sewer. Reliability analysis was performed by developed model applying to the real storm sewer. It was found that probability of performance failure is abruptly increased if the diameter is smaller than certain size. Therefore, cleaning the inside of storm sewer to maintain the original diameter can be one of the best ways to reduce the probability of performance failure. In the present study, probability of performance failure according to accumulation of debris in storm sewer was calculated. It was found that increasing the amount of debris seriously decrease the capacity of storm sewer and significantly increase the probability of performance failure.

• Journal of Environmental Science International
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• v.24 no.4
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• pp.383-391
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• 2015

As occurrence of gradually increasing extreme temperature events in Jeju Island, a hybrid downscaling technique that simultaneously applies by dynamical method and statistical method has implemented on design rainfall in order to reduce flood damages from severe storms and typhoons.As a result of computation, Case 1 shows a strong tendency to excessively compute rainfall, which is continuously increasing. While Case 2 showed similar trend as Case 1, low design rainfall has computed by rainfall in A1B scenario. Based on the design rainfall computation method mainly used in Preventive Disaster System through Pre-disaster Effect Examination System and Basic Plan for River of Jeju Island which are considering climatic change for selecting 50-year and 100-year frequencies. Case 3 selecting for Jeju rain gage station and Case 1 for Seogwipo rain gage station. The results were different for each rain gage station because of difference in rainfall characteristics according to recent climatic change, and the risk of currently known design rainfall can be increased in near future.

• Wind and Structures
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• v.25 no.3
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• pp.261-282
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• 2017

The probabilistic information of directional extreme wind speeds is important for precisely estimating the design wind loads on structures. A new joint probability distribution model of directional extreme wind speeds is established based on observed wind-speed data using multivariate extreme value theory with the t-Copula function in the present study. At first, the theoretical deficiencies of the Gaussian-Copula and Gumbel-Copula models proposed by previous researchers for the joint probability distribution of directional extreme wind speeds are analysed. Then, the t-Copula model is adopted to solve this deficiency. Next, these three types of Copula models are discussed and evaluated with Spearman's rho, the parametric bootstrap test and the selection criteria based on the empirical Copula. Finally, the extreme wind speeds for a given return period are predicted by the t-Copula model with observed wind-speed records from several areas and the influence of dependence among directional extreme wind speeds on the predicted results is discussed.

• International Journal of Reliability and Applications
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• v.13 no.1
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• pp.1-17
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• 2012

This Paper deals with the stochastic behavior and failure analysis of a Viscose Staple Fibre Plant which produces fibre for making clothes. The fibre making plant is a complex system with various subsystems as: Vendor (supplies Charcoal and Sulphur, raw materials for the process), Carbon di sulphide Plant, Acid Plant, Pulp Plant and Processing Plant. The considered system can completely fail due to failure of any of the subsystems. The Carbon di Sulphide Plant can fail in two different ways, due to lack of Sulphur or Charcoal. Processing Plant has the configuration 5-out-of-10: d and 6-out-of-10: f. It is also assumed that the system can fail due to workers strike and catastrophic failure. All failures follow exponential time distribution whereas all repairs follow general time distribution. Preventive Maintenance policy has been applied to reduce the failure in the system. Various reliability characteristics such as transition state probabilities, steady state behavior, reliability, availability, M.T.T.F and the cost analysis have been obtained using supplementary variable technique and Gumbel-Hougaard copula methodology.

• Proceedings of the Korea Water Resources Association Conference
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• 2010.05a
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• pp.571-575
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• 2010

Drought is a natural hazard with different properties that are usually dependent to each other. Therefore, a multivariate model is often used for drought frequency analysis. The Copula based bivariate drought severity and duration frequency analysis is applied in the current study in order to show the effect of tail behavior of drought severity and duration on the selection of a copula function for drought bivariate frequency analysis. Four copula functions, namely Clayton, Gumbel, Frank and Gaussian, were fitted to drought data of four stations in Iran and Canada in different climate regions. The drought data are calculated based on standardized precipitation index time series. The performance of different copula functions is evaluated by estimating drought bivariate return periods in two cases, [$D{\geq}d$ and $S{\geq}s$] and [$D{\geq}d$ or $S{\geq}s$]. The bivariate return period analysis indicates the behavior of the tail of the copula functions on the selection of the best bivariate model for drought analysis.

• Communications for Statistical Applications and Methods
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• v.25 no.1
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• pp.15-27
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• 2018

Parametric method of flood frequency analysis involves fitting of a probability distribution to observed flood data. When record length at a given site is relatively shorter and hard to apply the asymptotic theory, an alternative distribution to the generalized extreme value (GEV) distribution is often used. In this study, we consider the beta-P distribution (BPD) as an alternative to the GEV and other well-known distributions for modeling extreme events of small or moderate samples as well as highly skewed or heavy tailed data. The L-moments ratio diagram shows that special cases of the BPD include the generalized logistic, three-parameter log-normal, and GEV distributions. To estimate the parameters in the distribution, the method of moments, L-moments, and maximum likelihood estimation methods are considered. A Monte-Carlo study is then conducted to compare these three estimation methods. Our result suggests that the L-moments estimator works better than the other estimators for this model of small or moderate samples. Two applications to the annual maximum stream flow of Colorado and the rainfall data from cloud seeding experiments in Southern Florida are reported to show the usefulness of the BPD for modeling hydrologic events. In these examples, BPD turns out to work better than $beta-{\kappa}$, Gumbel, and GEV distributions.

• Proceedings of the Korea Water Resources Association Conference
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• 2012.05a
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• pp.405-405
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• 2012

기후변화에 따른 태풍, 집중호우 등에 의해 설계홍수량을 능가하는 크기의 홍수가 발생하여 큰 피해를 입는 경우가 발생하고 있다. 따라서 기후변화를 고려하여 예측한 미래의 강우자료에 의한 홍수량의 설계가 필요하다. 본 연구의 목적은 기후변화를 고려해 예측한 미래의 강우자료에 기초한 설계 홍수량을 산정하고, 이를 기존의 설계 홍수량과 비교분석하는데 있다. 대상지구는 이동저수지 유역을 선정하였고, HEC-GeoHMS를 이용해 대상지구의 유역자료를 추출하였다. 설계홍수량 추정을 위한 과거 강우자료는 수원기상대의 1964년부터 2011년까지의 자료기간을 수집하여 사용하였으며, 미래의 강우자료는 기상청 국가표준 기후변화 시나리오에서 제공하는 자료를 사용하였다. 수집된 강우자료를 바탕으로 FARD2006의 Gumbel 분포와 모멘트법을 적용하여 빈도별 확률 강우량을 각각 산정하였다. 산정된 빈도별 확률강우량을 수원지역의 Huff 분포에 적용해 시간별 강우분포를 구한 후 HEC-HMS의 Clark 단위도법을 이용하여 빈도별 홍수량을 각각 산정하여 그 결과를 비교 분석하였다. 본 연구를 통해 미래 강우자료에 의한 홍수량 설계의 필요성을 입증하고, 이를 바탕으로 다른 대상 지구에 대해서도 적용하여 미래의 홍수량 예측에 따른 설계빈도 설정에 활용할 수 있을 것으로 기대된다.

• Proceedings of the Korea Water Resources Association Conference
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• 2017.05a
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• pp.399-400
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• 2017

홍수나 가뭄 등 극치 현상의 통계분석 및 빈도해석에 있어 극치분포형이 널리 사용되고 있으며, 이러한 극치분포형의 특성을 이해하기 위해서는 분포형의 오른쪽 꼬리(right tail) 부분 특성을 자세히 분석할 필요가 있다. 이에 따라 본 연구에서는 Monte Carlo 모의를 통하여 다양한 극치분포형의 오른쪽 꼬리 부분의 통계적 특성 및 그 예측 능력을 연구하였다. 극치분포형으로는 우리나라 확률수문량 산정에 널리 활용되고 있는 generalized extreme value (GEV), Gumbel, generalized logistic 분포를 사용하였으며, 매개변수 산정 방법으로는 확률가중모멘트법을 사용하였다. 모의실험의 모분포로는 수문빈도해석에서 많이 사용되는 GEV 분포를 사용하였고, 30년 이상 자료를 보유한 기상청 지점 자료의 왜곡도를 조사하여 모의실험에 사용되는 모집단의 왜곡도로 가정하여 표본 자료를 발생시켰다. 예측 능력의 평가는 재현기간 10~1000년의 확률수문량을 왜곡도계수를 고려한 GEV 도시위치공식을 이용하여 GEV 확률지에 도시하고, 평균제곱근오차(root mean square error), 편의(bias), 평균상대오차(mean relative difference), 평균절대상대오차(mean absolute relative difference)를 이용하여 최적 분포형을 선정함으로써 이루어진다. 또한 예측 능력 평가결과의 타당성 확인을 위해 극치분포형의 적합정도를 잘 나타낸다고 알려진 modified Anderson-Darling 방법의 검정결과와 비교하여 적절성을 확인하였다.