• 제목/요약/키워드: extreme value distribution

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LH-모멘트에 의한 극치홍수량의 빈도분석을 위한 적정분포형 유도 (Derivation of Optimal Distribution for the Frequency Analysis of Extreme Flood using LH-Moments)

  • 맹승진;이순혁
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2002년도 학술발표회 발표논문집
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    • pp.229-232
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    • 2002
  • This study was conducted to estimate the design flood by the determination of best fitting order of LH-moments of the annual maximum series at six and nine watersheds in Korea and Australia, respectively. Adequacy for flood flow data was confirmed by the tests of independence, homogeneity, and outliers. Gumbel (GUM), Generalized Extreme Value (GEV), Generalized Pareto (GPA), and Generalized Logistic (GLO) distributions were applied to get the best fitting frequency distribution for flood flow data. Theoretical bases of L, L1, L2, L3 and L4-moments were derived to estimate the parameters of 4 distributions. L, L1, L2, L3 and L4-moment ratio diagrams (LH-moments ratio diagram) were developed in this study.

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고차확률가중모멘트에 의한 극치강우의 빈도분석 (Frequency Analysis of Extreme Rainfall using Higher Probability Weighted Moments)

  • 이순혁;맹승진;류경식;김병준
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2003년도 학술발표논문집
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    • pp.511-514
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    • 2003
  • This study was conducted to estimate the design rainfall by the determination of best fitting order for Higher Probability Weighted Moments of the annual maximum series according to consecutive duration at sixty-five rainfall stations in Korea. Design rainfalls were obtained by generalized extreme value distribution which was selected to be suitable distribution in 4 applied distributions and by L, L1, L2, L3 and L4-moment. The best fitting order for Higher Probability Weighted Moments was determined with the confidence analysis of estimated design rainfall.

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Regional flood frequency analysis of extreme rainfall in Thailand, based on L-moments

  • Thanawan Prahadchai;Piyapatr Busababodhin;Jeong-Soo Park
    • Communications for Statistical Applications and Methods
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    • 제31권1호
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    • pp.37-53
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    • 2024
  • In this study, flood records from 79 sites across Thailand were analyzed to estimate flood indices using the regional frequency analysis based on the L-moments method. Observation sites were grouped into homogeneous regions using k-means and Ward's clustering techniques. Among various distributions evaluated, the generalized extreme value distribution emerged as the most appropriate for certain regions. Regional growth curves were subsequently established for each delineated region. Furthermore, 20- and 100-year return values were derived to illustrate the recurrence intervals of maximum rainfall across Thailand. The predicted return values tend to increase at each site, which is associated with growth curves that could describe an increasing long-term predictive pattern. The findings of this study hold significant implications for water management strategies and the design of flood mitigation structures in the country.

Temperature effect analysis of a long-span cable-stayed bridge based on extreme strain estimation

  • Yang, Xia;Zhang, Jing;Ren, Wei-Xin
    • Smart Structures and Systems
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    • 제20권1호
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    • pp.11-22
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    • 2017
  • The long-term effect of ambient temperature on bridge strain is an important and challenging problem. To investigate this issue, one year data of strain and ambient temperature of a long-span cable-stayed bridge is studied in this paper. The measured strain-time history is decomposed into two parts to obtain the strains due to vehicle load and temperature alone. A linear regression model between the temperature and the strain due to temperature is established. It is shown that for every $1^{\circ}C$ increase in temperature, the stress is increased by 0.148 MPa. Furthmore, the extreme value distributions of the strains due to vehicle load, temperature and the combination effect of them during the remaining service period are estimated by the average conditional exceedance rate approach. This approach avoids the problem of declustering of data to ensure independence. The estimated results demonstrate that the 95% quantile of the extreme strain distribution due to temperature is up to $1.488{\times}10^{-4}$ which is 2.38 times larger than that due to vehicle load. The study also indicates that the estimated extreme strain can reflect the long-term effect of temperature on bridge strain state, which has reference significance for the reliability estimation and safety assessment.

Expected extreme value of pounding force between two adjacent buildings

  • Rahimi, Sepideh;Soltani, Masoud
    • Structural Engineering and Mechanics
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    • 제61권2호
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    • pp.183-192
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    • 2017
  • Seismic pounding between adjacent buildings with inadequate separation and different dynamic characteristics can cause severe damage to the colliding buildings. Efficient estimation of the maximum pounding force is required to control the extent of damage in adjacent structures or develop an appropriate mitigation method. In this paper, an analytical approach on the basis of statistical relations is presented for approximate computation of extreme value of pounding force between two adjacent structures with equal or unequal heights subjected to stationary and non-stationary excitations. The nonlinearity of adjacent structures is considered using Bouc-Wen model of hysteresis and the pounding effect is simulated by applying the nonlinear viscoelastic model. It is shown that the proposed approach can significantly save computational costs by obviating the need for performing dynamic analysis. To assess the reliability and accuracy of the proposed approach, the results are compared with those obtained from nonlinear dynamic analysis.

포트폴리오 VaR 측정을 위한 EVT-GARCH-코퓰러 모형의 성과분석 (Performance analysis of EVT-GARCH-Copula models for estimating portfolio Value at Risk)

  • 이상훈;여성칠
    • 응용통계연구
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    • 제29권4호
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    • pp.753-771
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    • 2016
  • 금융기관의 위험관리를 위한 중요한 도구로서 현재 VaR가 널리 사용되고 있다. 본 논문에서는 코퓰러 함수들을 이용하여 극단치이론과 GARCH 모형을 결합한 일변량분포로부터 구축한 다변량분포들을 바탕으로 코스피, 다우존스, 상하이 그리고 니케이 지수들로 구성된 포트폴리오의 VaR 추정과 그 성과에 관해 논의하였다. 사후검증 결과 전체적으로 볼 때 가우시안, t, 클레이톤, 프랭크 코퓰러를 사용한 t-분포의 오차항을 가진 변동성 모형들이 포트폴리오 VaR의 측정에 적합한 모형들로 나타났으며, 특히 프랭크 코퓰러의 경우에 가장 우수한 성과를 나타내었다.

한국 최대 전력량 예측을 위한 통계모형 (Statistical Modeling for Forecasting Maximum Electricity Demand in Korea)

  • 윤상후;이영생;박정수
    • Communications for Statistical Applications and Methods
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    • 제16권1호
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    • pp.127-135
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    • 2009
  • 한국의 경제규모가 꾸준히 커감에 따라 가정, 건물, 공장 등에서 필요로 하는 전력량이 지속적으로 증가하고 있다. 전력공급의 안정화를 위해서는 최대전력량보다 전력공급능력이 높아야 한다. 월별 최대전력량을 잘 설명할 수 있는 통계모형을 찾기 위해 Winters 모형, 분해 시계열모형, ARMA 모형, 설명 변수를 통해 추세성분과 계절성분을 교정한 모형을 살펴보았다. 모형의 예측력 비교 기준으로 모형적합으로부터 구한 RMSE와 MAPE가 사용되었다. 여름철 최대전력량을 예측하기 위해 평균기온과 열대야 일수를 설명 변수로 갖는 시계열 모형이 가장 우수하였다. 아울러 외부요인을 갖는 극단분포 모형을 이용한 분석을 시도하였다.

Predicting of tall building response to non-stationary winds using multiple wind speed samples

  • Huang, Guoqing;Chen, Xinzhong;Liao, Haili;Li, Mingshui
    • Wind and Structures
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    • 제17권2호
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    • pp.227-244
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    • 2013
  • Non-stationary extreme winds such as thunderstorm downbursts are responsible for many structural damages. This research presents a time domain approach for estimating along-wind load effects on tall buildings using multiple wind speed time history samples, which are simulated from evolutionary power spectra density (EPSD) functions of non-stationary wind fluctuations using the method developed by the authors' earlier research. The influence of transient wind loads on various responses including time-varying mean, root-mean-square value and peak factor is also studied. Furthermore, a simplified model is proposed to describe the non-stationary wind fluctuation as a uniformly modulated process with a modulation function following the time-varying mean. Finally, the probabilistic extreme response and peak factor are quantified based on the up-crossing theory of non-stationary process. As compared to the time domain response analysis using limited samples of wind record, usually one sample, the analysis using multiple samples presented in this study will provide more statistical information of responses. The time domain simulation also facilitates consideration of nonlinearities of structural and wind load characteristics over previous frequency domain analysis.

한국 남해의 구난환경 위험성 분석을 위한 극치 조석 산정 (Estimation of Extreme Tide for Risk Analysis of Marine Salvage in the Namhae (southern sea of Korea))

  • 이문진
    • 해양환경안전학회지
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    • 제12권1호
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    • pp.33-38
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    • 2006
  • 해난사고 선박의 구난환경 위험성 분석을 위한 극치조석 산정을 연구하였다. 본 연구에서는 표준항에서 관측된 해면변위에서 주요 4대분조($M_2$조, $S_2$조, $K_1$조, $O_1$조)의 진폭과 극치조석의 진폭을 산정하고, 조석 공간분포의 균일성에 근거한 유추(inference)방법을 이용하여 둘 간의 상관관계를 수치모델로 계산된 주요 4대분조의 공간분포에 적용함으로써 극치조석의 공간분포를 산정하였다. 극치조석의 분포는 한국 남해를 대상으로 산정하였으며, 50년 주기와 100년 주기의 극치조석을 각각 산정하였다. 한국 남해의 50년 주기 극치조석 진폭은 $70cm{\sim}260cm$의 분포를 보였으며, 100년 주기 극치조석 진폭은 $80cm{\sim}270cm$의 분포를 보였다. 극치조류의 유속은 100년 주기의 경우 평균상태 조류 유속에 비하여 약 1.55배 강한 것으로 나타났다.

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Performance Analysis of Economic VaR Estimation using Risk Neutral Probability Distributions

  • Heo, Se-Jeong;Yeo, Sung-Chil;Kang, Tae-Hun
    • 응용통계연구
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    • 제25권5호
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    • pp.757-773
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    • 2012
  • Traditional value at risk(S-VaR) has a difficulity in predicting the future risk of financial asset prices since S-VaR is a backward looking measure based on the historical data of the underlying asset prices. In order to resolve the deficiency of S-VaR, an economic value at risk(E-VaR) using the risk neutral probability distributions is suggested since E-VaR is a forward looking measure based on the option price data. In this study E-VaR is estimated by assuming the generalized gamma distribution(GGD) as risk neutral density function which is implied in the option. The estimated E-VaR with GGD was compared with E-VaR estimates under the Black-Scholes model, two-lognormal mixture distribution, generalized extreme value distribution and S-VaR estimates under the normal distribution and GARCH(1, 1) model, respectively. The option market data of the KOSPI 200 index are used in order to compare the performances of the above VaR estimates. The results of the empirical analysis show that GGD seems to have a tendency to estimate VaR conservatively; however, GGD is superior to other models in the overall sense.