• Title/Summary/Keyword: extreme value distribution

Search Result 259, Processing Time 0.028 seconds

Climate change and design wind load concepts

  • Kasperski, Michael
    • Wind and Structures
    • /
    • v.1 no.2
    • /
    • pp.145-160
    • /
    • 1998
  • In recent years, the effects of a possible climate change have been discussed in regard to wind loading on buildings and structures. Simple scenarios based on the assumption of global warming suggest an increase of storm intensities and storm frequencies and a possible re-distribution of storm tracks. Among recent publications, some papers seem to verify these scenarios while others deny the influence of climatic change. In an introductory step, the paper tries to re-examine these statements. Based on meteorological observations of a weather station in Germany, the existence of long-term trends and their statistical significance is investigated. The analysis itself is based on a refined model for the wind climate introducing a number of new basic variables. Thus, the numerical values of the design wind loads used in modern codes become more justified from the probabilistic point of view.

Estimation of Reservoir Inflow Using Frequency Analysis (빈도분석에 의한 저수지 유입량 산정)

  • Maeng, Seung-Jin;Hwang, Ju-Ha;Shi, Qiang
    • Journal of The Korean Society of Agricultural Engineers
    • /
    • v.51 no.3
    • /
    • pp.53-62
    • /
    • 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.

Derivation of Design Flood by L-Moments and LH-Moments in GEV distributiion (L-모멘트 및 LH-모멘트에 의한 GEV 분포모형의 실계홍수량의 유도)

  • 이순혁;박명근;맹승진;정연수;김동주;류경식
    • Proceedings of the Korean Society of Agricultural Engineers Conference
    • /
    • 1999.10c
    • /
    • pp.479-485
    • /
    • 1999
  • This study was conducted to derived design floods by Generalized Extreme Value(GEV) distributiion for the annual maximum series at ten watersheds along Han, Nagdong, Geum , Yeongsan and Seomjin river systems. Adequency for the analysis of flood data used in this study was established by the test of Independence, Homogeneity , detection of Outliers. Coefficient of variation , skewness and kurtosis were calculated by the L-Moment, and LH-Moment ratio respectively. Parameters were estimated by the Method of L-Method of LH-Moment. Design floods obtained by Method of L-Moments and LH-Moments using different methods for plotting positions in GEV distributions and were compared with those obatined using the Method of L-Moments and LH-Moments by the Relative Mean Errors and Realtive Absoulte Errors. It was found that desgin floods derived by the method of L-Moments and LH-Moments using Cunnane plotting position foumula in the GEV distribution are much closer to those of the observed data in comparison with those obtained by methods of L-moments and LH-moments using the other formula for poltting postions from the viewpoint of Relative Mean Errors and Relative Absoulte Errors. In view of the fact that hydraulic structures indcluding dams and levees are generally usiong design floods with the return period of two hundred years or so, design floods derived by LH-Moments are seemed to be more reasonable than those of L-Moments in the GEV distribution.

  • PDF

Intelligent bolt-jointed system integrating piezoelectric sensors with shape memory alloys

  • Park, Jong Keun;Park, Seunghee
    • Smart Structures and Systems
    • /
    • v.17 no.1
    • /
    • pp.135-147
    • /
    • 2016
  • This paper describes a smart structural system, which uses smart materials for real-time monitoring and active control of bolted-joints in steel structures. The goal of this research is to reduce the possibility of failure and the cost of maintenance of steel structures such as bridges, electricity pylons, steel lattice towers and so on. The concept of the smart structural system combines impedance based health monitoring techniques with a shape memory alloy (SMA) washer to restore the tension of the loosened bolt. The impedance-based structural health monitoring (SHM) techniques were used to detect loosened bolts in bolted-joints. By comparing electrical impedance signatures measured from a potentially damage structure with baseline data obtained from the pristine structure, the bolt loosening damage could be detected. An outlier analysis, using generalized extreme value (GEV) distribution, providing optimal decision boundaries, has been carried out for more systematic damage detection. Once the loosening damage was detected in the bolted joint, the external heater, which was bonded to the SMA washer, actuated the washer. Then, the heated SMA washer expanded axially and adjusted the bolt tension to restore the lost torque. Additionally, temperature variation due to the heater was compensated by applying the effective frequency shift (EFS) algorithm to improve the performance of the diagnostic results. An experimental study was conducted by integrating the piezoelectric material based structural health monitoring and the SMA-based active control function on a bolted joint, after which the performance of the smart 'self-monitoring and self-healing bolted joint system' was demonstrated.

Soccer goal distributions in K-league (K-리그에서 축구 골의 분포)

  • Lee, Jang Taek
    • Journal of the Korean Data and Information Science Society
    • /
    • v.25 no.6
    • /
    • pp.1231-1239
    • /
    • 2014
  • In this paper we analyse the distributions of the number of goals scored by home teams and away teams in K-league soccer outcomes between 1983 and 2012. Real soccer data is explained in K-league using statistical distributions such that Poisson, negative binomial, extreme value and zero inflated Poisson. How close the goals of home and away fits the different distributions are tested by performing chi-square goodness of fit tests. According to these tests, the Poisson distribution gives the best fit to the home goals data. But it is best to model the away goals data on zero inflated Poisson distribution. Also, there is some weak evidence of the dependence for home and away goals.

Estimation of storm events frequency analysis using copula function (Copula 함수를 이용한 호우사상의 빈도해석 산정)

  • An, Heejin;Lee, Moonyoung;Kim, Si Yeon;Jeon, Seol;Ahn, Youngmin;Jung, Donghwa;Park, Daeryong
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2022.05a
    • /
    • pp.200-200
    • /
    • 2022
  • 본 연구에서는 총 강우량과 강우강도을 고려한 이변수 분석으로 연최대 호우사상을 선별하고, 두 변수를 Copula 함수로 결합하여 최적의 모델조합을 찾는 확률호우사상 산정 방법론을 제시하였다. 국내 69개 관측소의 2020년까지의 관측 자료를 대상으로 1mm 이하의 강우는 제거한 뒤, IETD(Inter-Event Time Definition) 12시간을 기준으로 강우자료를 독립적인 호우사상으로 분리하였다. 호우사상의 여러 특성 중 양의 상관관계를 갖는 총 강우량과 강우강도를 변수로 선택해 이변수 지수분포에 대입하였고, 각 지점의 연최대 호우사상 시계열을 생성하였다. 2변수 지수분포의 매개변수는 전체 기간과 연도별로 나누어 추정해 본 결과 연도별 변동성이 큰 것을 확인해 연도별 추정 방식을 선택하였다. 연최대 강우사상 시계열의 총 강우량과 강우강도는 극한 강우에 적용하는 확률분포형 중 Lognarmal, Gamma, Gumbel, GEV(Generalized Extreme Value), GPD(Generalized Pareto Distribution) 5가지를 사용하여 각각 CDF(Cumulative distribution Function) 값을 추정하였다. 계산된 CDF 값은 3가지 Copula 모형으로 결합해 joint CDF 값을 산출하였다. 총 75개의 모델조합 중 최적 모델을 찾기 위해 CVM(Cramer-von-Mises) 적합도 검정을 시행하였다. CVM의 통계량 Sn 값이 가장 작은 모델조합을 해당 지점의 최적 모델조합으로 선정하였다.

  • PDF

Life Prediction and Fatigue Strength Evaluation for Surface Corrosion Materials (인공부식재의 피로강도평가와 통계학적 수명예측에 관한 연구)

  • 권재도;진영준;장순식
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.16 no.8
    • /
    • pp.1503-1512
    • /
    • 1992
  • The strength evaluation and life prediction on the corrosion part of structure is one of the most important subjects, as a viewpoint of reducing economic loss by regular inspection, maintenance, repair and replace. For this purpose, it has been difficult to obtain the available data on growth of pit depth or growth rate of each pit which depends on time. In this paper, the life prediction and strength evaluation method was suggested for the structure with irregular stress concentration part by surface corrosion. The statistical distribution pattern of corrosion depth and the degree of fatigue strength decline were confirmed according to corrosion period by artificial corrosion of SS41 steel. The life prediction and the fatigue strength evaluation of materials with consideration of the corrosion period on the extreme value statistic analysis by the data of maximum depth of corrosion and on random variable was studied.

Nominal Price Anomaly in Emerging Markets: Risk or Mispricing?

  • HOANG, Lai Trung;PHAN, Trang Thu;TA, Linh Nhat
    • The Journal of Asian Finance, Economics and Business
    • /
    • v.7 no.9
    • /
    • pp.125-134
    • /
    • 2020
  • This study examines the nominal price anomaly in the Vietnamese stock market, that is, whether stocks with low nominal price outperform stocks with high nominal price. Using a sample of all 351 companies listed on the Ho Chi Minh Stock Exchange (HOSE) from June 2009 to March 2018, we confirm our hypothesis and document that cheaper stocks yield higher subsequent abnormal returns. The results are robust after controlling for various stock characteristics that have been documented to be value-relevant in prior literature, including firm size, book-to-market ratio, intermediate-term momentum, short-term reversal, skewness, market risk, idiosyncratic risk, illiquidity and extreme daily returns, using both the portfolio analysis and the Fama-MacBeth cross-sectional regression. The negative effect persists in the long term (i.e., after up to 12 months), implying a slow adjustment of stock prices to their intrinsic value. Further analysis show that the observed nominal price anomaly is mainly driven by mispricing but not a latent risk factor proxied by stock price, thus the observed anomaly reflects a mispricing but not a fundamental risk. The study highlights the irrational behaviour of investors and market inefficiency in the Vietnamese stock market and provides important implication for investors in the market.

Analysis of extreme wind speed and precipitation using copula (코플라함수를 이용한 극단치 강풍과 강수 분석)

  • Kwon, Taeyong;Yoon, Sanghoo
    • Journal of the Korean Data and Information Science Society
    • /
    • v.28 no.4
    • /
    • pp.797-810
    • /
    • 2017
  • The Korean peninsula is exposed to typhoons every year. Typhoons cause huge socioeconomic damage because tropical cyclones tend to occur with strong winds and heavy precipitation. In order to understand the complex dependence structure between strong winds and heavy precipitation, the copula links a set of univariate distributions to a multivariate distribution and has been actively studied in the field of hydrology. In this study, we carried out analysis using data of wind speed and precipitation collected from the weather stations in Busan and Jeju. Log-Normal, Gamma, and Weibull distributions were considered to explain marginal distributions of the copula. Kolmogorov-Smirnov, Cramer-von-Mises, and Anderson-Darling test statistics were employed for testing the goodness-of-fit of marginal distribution. Observed pseudo data were calculated through inverse transformation method for establishing the copula. Elliptical, archimedean, and extreme copula were considered to explain the dependence structure between strong winds and heavy precipitation. In selecting the best copula, we employed the Cramer-von-Mises test and cross-validation. In Busan, precipitation according to average wind speed followed t copula and precipitation just as maximum wind speed adopted Clayton copula. In Jeju, precipitation according to maximum wind speed complied Normal copula and average wind speed as stated in precipitation followed Frank copula and maximum wind speed according to precipitation observed Husler-Reiss copula.

Estimation of Design Rainfall by the Regional Frequency Analysis using Higher Probability Weighted Moments and GIS Techniques (III) - On the Method of LH-moments and GIS Techniques - (고차확률가중모멘트법에 의한 지역화빈도분석과 GIS기법에 의한 설계강우량 추정 (III) - LH-모멘트법과 GIS 기법을 중심으로 -)

  • 이순혁;박종화;류경식;지호근;신용희
    • Magazine of the Korean Society of Agricultural Engineers
    • /
    • v.44 no.5
    • /
    • pp.41-53
    • /
    • 2002
  • This study was conducted to derive the regional design rainfall by the regional frequency analysis based on the regionalization of the precipitation suggested by the first report of this project. According to the regions and consecutive durations, optimal design rainfalls were derived by the regional frequency analysis for L-moment in the second report of this project. Using the LH-moment ratios and Kolmogorov-Smirnov test, the optimal regional probability distribution was identified to be the Generalized extreme value (GEV) distribution among applied distributions. regional and at-site parameters of the GEV distribution were estimated by the linear combination of the higher probability weighted moments, LH-moment. Design rainfall using LH-moments following the consecutive duration were derived by the regional and at-site analysis using the observed and simulated data resulted from Monte Carlo techniques. Relative root-mean-square error (RRMSE), relative bias (RBIAS) and relative reduction (RR) in RRMSE for the design rainfall were computed and compared in the regional and at-site frequency analysis. Consequently, it was shown that the regional analysis can substantially more reduce the RRMSE, RBIAS and RR in RRMSE than at-site analysis in the prediction of design rainfall. Relative efficiency (RE) for an optimal order of L-moments was also computed by the methods of L, L1, L2, L3 and L4-moments for GEV distribution. It was found that the method of L-moments is more effective than the others for getting optimal design rainfall according to the regions and consecutive durations in the regional frequency analysis. Diagrams for the design rainfall derived by the regional frequency analysis using L-moments were drawn according to the regions and consecutive durations by GIS techniques.