• Title/Summary/Keyword: Extreme Values

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On the Estimation of Daily Maximum Precipitation in the Central Part of Korea. (우리나라 중부 지방의 일최대강수량 추정에 관하여)

  • 이래영
    • Water for future
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    • v.11 no.1
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    • pp.59-68
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    • 1978
  • According to the simplified Gringorten's method of extreme values from data samples, daily maximum precipitation and return period at several stations in the central part of Korea were estimated. And also, it was known that the distribution of daily maximum precipitation of Sogcho, Chuncheon, Kangreung, Seoul, Inchon, Suwon, Seosan, Cheongju and Daejeon area belong to an exponential type of distribution.

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Estimation and Application of Reliability Values for Strength of Material Following Gamma Distribution (감마분포를 따르는 재료강도의 신뢰도 예측과 응용)

  • Park, Sung-Ho;Kim, Jae-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.2
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    • pp.223-230
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    • 2012
  • The strength of brittle material has commonly been characterized by a normal distribution or Weibull distribution, but it may fit the gamma distribution for some material. The use of an extreme value distribution is proper when the largest values of a set of stresses dominate the failure of the material. This paper presents a formula for reliability estimation based on stress-strength interference theory that is applicable when the strength of material is distributed like a gamma distribution and the stress is distributed like an extreme value distribution. We verified the validity of the equation for the reliability estimation by examining the relationships among the factor of safety, the coefficient of variation, and the reliability. The required minimum factor of safety and the highest allowable coefficient of variation of stress can be estimated by choosing an objective reliability and estimating the reliabilities obtained for various factors of safety and coefficients of variation.

Estimation of Live Load Effect of Single Truck Through Probabilistic Analysis of Truck Traffic on Expressway (고속도로 통행차량 통계 분석을 통한 단독차량의 활하중 효과 추정)

  • Yoon, Taeyong;Ahn, Sang-Sup;Kwon, Soon-Min;Paik, Inyeol
    • International Journal of Highway Engineering
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    • v.18 no.1
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    • pp.1-11
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    • 2016
  • PURPOSES : This study estimated the load effect of a single heavy truck to develop a live load model for the design and assessment of bridges located on an expressway with a limited truck entry weight. METHODS : The statistical estimation methods for the live load effect acting on a bridge by a heavy vehicle are reviewed, and applications using the actual measurement data for trucks traveling on an expressway are presented. The weight estimation of a single vehicle and its effect on a bridge are fundamental elements in the construction of a live load model. Two statistical estimation methods for the application of extrapolation in a probabilistic study and an additional estimation method that adopts the extreme value theory are reviewed. RESULTS : The proposed methods are applied to the traffic data measured on an expressway. All of the estimation methods yield similar results using the data measured when the weight limit has been relatively well observed because of the rigid enforcement of the weight regulation. On the other hand, when the estimations are made using overweight traffic data, the resulting values differ with the estimation method. CONCLUSIONS : The estimation methods based on the extreme distribution theory and the modified procedure presented in this paper can yield reasonable values for the maximum weight of a single truck, which can be applied in both the design and evaluation of a bridge on an expressway.

Non-Gaussian features of dynamic wind loads on a long-span roof in boundary layer turbulences with different integral-scales

  • Yang, Xiongwei;Zhou, Qiang;Lei, Yongfu;Yang, Yang;Li, Mingshui
    • Wind and Structures
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    • v.34 no.5
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    • pp.421-435
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    • 2022
  • To investigate the non-Gaussian properties of fluctuating wind pressures and the error margin of extreme wind loads on a long-span curved roof with matching and mismatching ratios of turbulence integral scales to depth (Lux/D), a series of synchronized pressure tests on the rigid model of the complex curved roof were conducted. The regions of Gaussian distribution and non-Gaussian distribution were identified by two criteria, which were based on the cumulative probabilities of higher-order statistical moments (skewness and kurtosis coefficients, Sk and Ku) and spatial correlation of fluctuating wind pressures, respectively. Then the characteristics of fluctuating wind-loads in the non-Gaussian region were analyzed in detail in order to understand the effects of turbulence integral-scale. Results showed that the fluctuating pressures with obvious negative-skewness appear in the area near the leading edge, which is categorized as the non-Gaussian region by both two identification criteria. Comparing with those in the wind field with matching Lux/D, the range of non-Gaussian region almost unchanged with a smaller Lux/D, while the non-Gaussian features become more evident, leading to higher values of Sk, Ku and peak factor. On contrary, the values of fluctuating pressures become lower in the wind field with a smaller Lux/D, eventually resulting in underestimation of extreme wind loads. Hence, the matching relationship of turbulence integral scale to depth should be carefully considered as estimating the extreme wind loads of long-span roof by wind tunnel tests.

Merging Features and Optical-NIR Color Gradient of Early-type Galaxies

  • Kim, Du-Ho;Im, Myeong-Sin
    • The Bulletin of The Korean Astronomical Society
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    • v.35 no.2
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    • pp.41.1-41.1
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    • 2010
  • It has been suggested that merging plays an important role in the formation and the evolution of early-type galaxies. Optical-NIR color gradients of early-type galaxies in high density environments are found to be less steep than those in low density environment, hinting frequent merger activities in early-type galaxies in high density environment. In order to confirm if the flat color gradient is the result of dry merger, we decided to look deeply to find merging features and get their relation with color gradient. We selected samples which show extreme values of optical-NIR color gradients based on the data of previous study, and observed them at Maidanak observatory 1.5m telescope with long exposure. After masking out overlaid sources, our analysis reveals that these galaxies do not have extreme color gradient values. High degree sky flat technique was used during observation to aid discovery of faint, extended features. However, flatness of detector (SNUCAM) was good enough, so we could not see any marked improvement in image quality compared to those using normal sky flats. Additionally we noticed a feature that looks like merging tidal tail in the CFHT archival image, but this does not show up on the image we obtained. This demonstrates that flatness and correct sky estimation is very important when we look for faint merging features. In future we plan to enlarge the number of the sample.

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Drought Index Calculation for Irrigation Reservoirs (관개용 저수지의 한발지수산정)

  • 김선주;이광야;신동원
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.37 no.6
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    • pp.103-111
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    • 1995
  • Drought index calculation based on the principal hydrological parameters, such as rainfall and reservoir storage, can estimate the duration and intensity of drought in irrigation reservoirs. It is difficult to build up a drought criteria since the conditions change variously by the reliability of rainfall. Because of the increasing water demands, it is urgent to prepare a generalized positive countermeasure to overcome drought. Water demands can at calculated but the estimation of drought characteristics, and the effective water management method can be established. The purpose of this study is to obtain a drought index and build up a data-base on the reservoir basins for establishing the fundamental hydrological data-base. This Index can observe the behavior of the WSI(Water Supply Index) and the component indices. The results summarized through this study are as follows. 1. WSI value of zero does not correspond to 100% in average due to the skewness in the probability distributions. 2. WSI is not a linear index; that is, given change in terms of water volume or percentage of average does not result in a proportional change on the WSI scale. 3. WSI is not always between the reservoir and the rainfall index in magnitude. This is only true if the component indices are of opposite sign. If they are of the same sign, the SWSI will often have a mangitude greater than either of the component indices. This is easily understood, because the concurrence of extreme values of the same sign for the two components is rarer than the occurrence of extreme values for either of the two components individually.

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Threshold Modelling of Spatial Extremes - Summer Rainfall of Korea (공간 극단값의 분계점 모형 사례 연구 - 한국 여름철 강수량)

  • Hwang, Seungyong;Choi, Hyemi
    • The Korean Journal of Applied Statistics
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    • v.27 no.4
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    • pp.655-665
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    • 2014
  • An adequate understanding and response to natural hazards such as heat wave, heavy rainfall and severe drought is required. We apply extreme value theory to analyze these abnormal weather phenomena. It is common for extremes in climatic data to be nonstationary in space and time. In this paper, we analyze summer rainfall data in South Korea using exceedance values over thresholds estimated by quantile regression with location information and time as covariates. We group weather stations in South Korea into 5 clusters and t extreme value models to threshold exceedances for each cluster under the assumption of independence in space and time as well as estimates of uncertainty for spatial dependence as proposed in Northrop and Jonathan (2011).

A Development of Noparamtric Kernel Function Suitable for Extreme Value (극치값 추정에 적합한 비매개변수적 핵함수 개발)

  • Cha Young-Il;Kim Soon-Bum;Moon Young-Il
    • Journal of Korea Water Resources Association
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    • v.39 no.6 s.167
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    • pp.495-502
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    • 2006
  • The importance of the bandwidth selection has been more emphasized than the kernel function selection for nonparametric frequency analysis since the interpolation is more reliable than the extrapolation method. However, when the extrapolation method is being applied(i.e. recurrence interval more than the length of data or extreme probabilities such as $200{\sim}500$ years), the selection of the kernel function is as important as the selection of the bandwidth. So far, the existing kernel functions have difficulties for extreme value estimations because the values extrapolated by kernel functions are either too small or too big. This paper suggests a Modified Cauchy kernel function that is suitable for both interpolation and extrapolation as an improvement.

Design and Verification of the Hydrostatic Bearing for Hydraulic Model Turbine (I) - Radial Bearing - (모델수차 성능시험용 정압베어링 설계해석 및 검증(I) - 레이디얼 베어링 -)

  • Park, Moo Ryong;Kim, Byung Ok;Yoon, Eui Soo;Hwang, Soon Chan;Cho, Yong;Park, No Hyun
    • The KSFM Journal of Fluid Machinery
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    • v.19 no.5
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    • pp.35-41
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    • 2016
  • This paper deals with the design, manufacturing and test evaluation of a hydrostatic bearing applied to a hydraulic model turbine. The design parameters of a hydrostatic bearing, considering machining and assembly tolerances, and recommended values of design parameters are presented. Also the simple design procedure of a hydrostatic bearing by utilizing the reference results is proposed. In order to illustrate the utility and validity of the proposed design procedure, two hydrostatic bearings are manufactured and test evaluation of these bearings are performed. In results, the proposed design procedure can be utilized as an effective tool at the initial design screen of a hydrostatic bearing. However, the 2D bearing governing equation should be solved to obtain the optimal design of a hydrostatic bearing.

Computation of Extreme Food Consumption by Korean Adults in 1990s (한국성인을 위한 식품 극단소비량(1990년대)의 산정)

  • 이미경;이서래
    • Journal of Food Hygiene and Safety
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    • v.15 no.2
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    • pp.79-87
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    • 2000
  • In order to obtain the data for extreme food intake by Koream adults, the data of adult dietary survey undertaken in 1995 were used through statistical treatment, taking into account of dietary habits. Various food commodities amounting to 159 items were classified into 14 food groups and fractiles of 90th and 95th percentile of individual food items were computed on the assumption that the food consumption pattern exhibits a normal distribution. Most of the food items showed the ratio of fractiles to mean intake in the range of 2.0∼3.0 while the ratio greatly deviated from these values in items such as seasonings, spices, nuts, seeds and favorite beverages as well as most commonly-eaten or rarely-eaten foods.

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