• Title/Summary/Keyword: Extreme Values

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The Mathematical Relationship Between the Region of Efficient Objective Value and the Region of Weight in Multiple Objective Linear Programming (다목적 선형계획 문제의 유효 목적함수 영역과 가중치 수리적 관계에 관한 연구)

  • 소영섭
    • Journal of the Korean Operations Research and Management Science Society
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    • v.19 no.2
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    • pp.119-128
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    • 1994
  • There are three important regions im Multiple Objective Linear Programming (MOLP). One is the region of efficient solutions, another is the region of weight to be used for finding efficient solutions, the third is the region of efficient (nondominated) objective values. In this paper, first, we find the condition of extreme point in the region of efficient objective values. Second, we find that the sum of the dimension of the weight region and the dimension of efficient objective values region is constant. Using the above, it is shown that we find the shape and dimension of weight region corresponding to the given region or efficient objective values and vice versa.

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The Suitability of European Designed Wind Turbines for the East Asian Market

  • Brown, G.R.D.;Barthelmie, R.J.;Kim, Hyun-Goo
    • Journal of Environmental Science International
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    • v.18 no.8
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    • pp.825-831
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    • 2009
  • A first step review is completed on the suitability of European designed wind turbines in an East Asia climate. Six parameters are chosen for detailed analysis of proper meteorological measures from flat, hilly, forested, coastal and offshore sites in West Europe and East Asia: mean wind speed, 10 minute mean wind speed distribution, turbulence intensity, wind shear, 3 second extreme wind speed and 10 minute direction change. All six parameters are assessed with a view for contrast with the wind turbine design standard IEC61400. The diurnal and seasonal variation, average and extreme values of each parameter are calculated where appropriate. Industry standard software and analysis techniques have been employed to assess the applicability of existing wind turbine design standards and design guidelines for the East Asian market.

Distribution of the Estimator for Peak of a Regression Function Using the Concomitants of Extreme Oder Statistics

  • Kim, S.H;Kim, T.S.
    • Communications for Statistical Applications and Methods
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    • v.5 no.3
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    • pp.855-868
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    • 1998
  • For a random sample of size n from general linear model, $Y_i= heta(X_i)+varepsilon_i,;let Y_{in}$ denote the ith oder statistics of the Y sample values. The X-value associated with $Y_{in}$ is denoted by $X_{[in]}$ and is called the concomitant of ith order statistics. The estimator of the location of a maximum of a regression function, $ heta$($\chi$), was proposed by (equation omitted) and was found the convergence rate of it under certain weak assumptions on $ heta$. We will discuss the asymptotic distributions of both $ heta(X_{〔n-r+1〕}$) and (equation omitted) when r is fixed as nolongrightarrow$\infty$(i.e. extreme case) on the basis of the theorem of the concomitants of order statistics. And the will investigate the asymptotic behavior of Max{$\theta$( $X_{〔n-r+1:n〕/}$ ), . , $\theta$( $X_{〔n:n〕}$)}as an estimator for the peak of a regression function.

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The Meaning of Modernity and the Role of Tradition in the Modern Movements of Architecture - A Study of Berlage's 'Evolving Historicity'- (초기 근대건축에서의 근대성의 의미 및 전통의 역할 -베를라헤의 '진화하는 역사성'에 대한 소고-)

  • Yim, Seock-Jae
    • Journal of architectural history
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    • v.2 no.2 s.4
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    • pp.119-130
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    • 1993
  • Berlage's importance in the history of the Modern Movements of Architecture lies in his effort to combine several sets of contradictory dual aspects of architectural values. Tradition and modernity are one of the contradictory dual aspects. For Berlage, tradtion and modernity were not tow opposing, but reconciliatory concepts. In this sense, Berlage thought that modernity did not mean a total rejection, but a reinterpretion of tradition. Berlage's concern with his contemporaty architectural situstion was how to revive the stagnant repetion of past styles in Historicism and, at same time, how to prevent an extreme rejection of tradition by the Avant-Gardists. Berlage's architectural belief that neither stagnant imitation of past styles nor extreme revolution can be an ideal model for his era, lies in a traditional art theory of 'style evolution' and the interpertation of Nature's lessons for it. This study is to understand Berlage's concept of 'style evolution' and the meaning of tradition and modernity in the early Modern Movements of Architecture.

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Physical and Mechanical Characteristics of the Antarctic Rocks Exposed to the Extreme Environment (극한환경에 노출된 남극 암석의 물리적·역학적 특성)

  • Kim, Kiju;Kim, YoungSeok;Hong, Seung Seo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.6C
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    • pp.275-284
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    • 2012
  • The Antarctic continent exposed to strong wind, very low temperature, and extremely dry condition. The freezing-thawing cycles under this extreme environment change the mechanical characteristics of rocks near the ground surface. To investigate the effect of freezing-thawing cycles under the extreme environment understand on geotechnical properties of rocks, rocks from the Antarctica were collected from two places: (1) West Antarctic Cape Burks and (2) East Antarctic Terra Nova Bay areas. The rock characteristics of these two areas were described and compared. For Terra Nova Bay area, rock characteristics of rocks near the surface and depths exceeding 2.9 m were examined. The 'near-the-surface rocks' averages of absorption rate, P-wave velocity, and unconfined compressive strength were 0.56%, 3,717 m/s, and 109MPa, respectively; while, those values of 'deep-sited rocks' were 0.24%, 4,670 m/s, and 88MPa. From the measurements, it was found that the effects of weathering were not significant on mechanical characteristics (strength) but were pronounced on physical characteristics(absorption and P-wave velocity).

Effect of Extreme Rainfall on Cut Slope Stability: Case Study in Yen Bai City, Viet Nam

  • Tran, The Viet;Trinh, Minh Thu;Lee, Giha;Oh, Sewook;Nguyen, Thi Hai Van
    • Journal of the Korean GEO-environmental Society
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    • v.16 no.4
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    • pp.23-32
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    • 2015
  • This paper addresses the effects of extreme rainfall on the stability of cut slopes in Yen Bai city, Northern Viet Nam. In this area, natural slopes are excavated to create places for infrastructures and buildings. Cut slopes are usually made without proper site investigations; the design is mostly based on experience. In recent years, many slope failures have occurred along these cuts especially in rainy seasons, resulting in properties damaged and loss of lives. To explain the reason that slope failure often happens during rainy seasons, this research analyzed the influence of extreme rainfalls, initial ground conditions, and soil permeability on the changes of pore water pressure within the typical slope, thereafter determining the impact of these changes on the slope stability factor of safety. The extreme rainfalls were selected based on all of the rainfalls triggering landslide events that have occurred over the period from 1960 to 2009. The factor of safety (FS) was calculated using Bishop's simplified method. The results show that when the maximum infiltration capacity of the slope top soil is less than the rainfall intensity, slope failures may occur 14 hours after the rain starts. And when this happens, the rainfall duration is the deciding factor that affects the slope FS values. In short, cut slopes in Yen Bai may be stable in normal conditions after the excavation, but under the influence of tropical rain storms, their stability is always questionable.

Extreme wind speeds from multiple wind hazards excluding tropical cyclones

  • Lombardo, Franklin T.
    • Wind and Structures
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    • v.19 no.5
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    • pp.467-480
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    • 2014
  • The estimation of wind speed values used in codes and standards is an integral part of the wind load evaluation process. In a number of codes and standards, wind speeds outside of tropical cyclone prone regions are estimated using a single probability distribution developed from observed wind speed data, with no distinction made between the types of causal wind hazard (e.g., thunderstorm). Non-tropical cyclone wind hazards (i.e., thunderstorm, non-thunderstorm) have been shown to possess different probability distributions and estimation of non-tropical cyclone wind speeds based on a single probability distribution has been shown to underestimate wind speeds. Current treatment of non-tropical cyclone wind hazards in worldwide codes and standards is touched upon in this work. Meteorological data is available at a considerable number of United States (U.S.) stations that have information on wind speed as well as the type of causal wind hazard. In this paper, probability distributions are fit to distinct storm types (i.e., thunderstorm and non-thunderstorm) and the results of these distributions are compared to fitting a single probability distribution to all data regardless of storm type (i.e., co-mingled). Distributions fitted to data separated by storm type and co-mingled data will also be compared to a derived (i.e., "mixed") probability distribution considering multiple storm types independently. This paper will analyze two extreme value distributions (e.g., Gumbel, generalized Pareto). It is shown that mixed probability distribution, on average, is a more conservative measure for extreme wind speed estimation. Using a mixed distribution is especially conservative in situations where a given wind speed value for either storm type has a similar probability of occurrence, and/or when a less frequent storm type produces the highest overall wind speeds. U.S. areas prone to multiple non-tropical cyclone wind hazards are identified.

Evaluation of the Applicability of the Poisson Cluster Rainfall Generation Model for Modeling Extreme Hydrological Events (극한수문사상의 모의를 위한 포아송 클러스터 강우생성모형의 적용성 평가)

  • Kim, Dong-Kyun;Kwon, Hyun-Han;Hwang, Seok Hwan;Kim, Tae-Woong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.3
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    • pp.773-784
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    • 2014
  • This study evaluated the applicability of the Modified Bartlett-Lewis Rectangular Pulse (MBLRP) rainfall generation model for modeling extreme rainfalls and floods in Korean Peninsula. Firstly, using the ISPSO (Isolated Species Particle Swarm Optimization) method, the parameters of the MBLRP model were estimated at the 61 ASOS (Automatic Surface Observation System) rain gauges located across Korean Peninsula. Then, the synthetic rainfall time series with the length of 100 years were generated using the MBLRP model for each of the rain gauges. Finally, design rainfalls and design floods with various recurrence intervals were estimated based on the generated synthetic rainfall time series, which were compared to the values based on the observed rainfall time series. The results of the comparison indicate that the design rainfalls based on the synthetic rainfall time series were smaller than the ones based on the observation by 20% to 42%. The amount of underestimation increased with the increase of return period. In case of the design floods, the degree of underestimation was 31% to 50%, which increases along with the return period of flood and the curve number of basin.

Prediction of recent earthquake magnitudes of Gyeongju and Pohang using historical earthquake data of the Chosun Dynasty (조선시대 역사지진자료를 이용한 경주와 포항의 최근 지진규모 예측)

  • Kim, Jun Cheol;Kwon, Sookhee;Jang, Dae-Heung;Rhee, Kun Woo;Kim, Young-Seog;Ha, Il Do
    • The Korean Journal of Applied Statistics
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    • v.35 no.1
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    • pp.119-129
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    • 2022
  • In this paper, we predict the earthquake magnitudes which were recently occurred in Gyeongju and Pohang, using statistical methods based on historical data. For this purpose, we use the five-year block maximum data of 1392~1771 period, which has a relatively high annual density, among the historical earthquake magnitude data of the Chosun Dynasty. Then, we present the prediction and analysis of earthquake magnitudes for the return level over return period in the Chosun Dynasty using the extreme value theory based on the distribution of generalized extreme values (GEV). We use maximum likelihood estimation (MLE) and L-moments estimation for parameters of GEV distribution. In particular, this study also demonstrates via the goodness-of-fit tests that the GEV distribution can be an appropriate analytical model for these historical earthquake magnitude data.

Distribution of Irregular Wave Height in Finite Water Depth (유한수심에서의 불규칙파의 파고 분포)

  • 안경모;마이클오찌
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.1
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    • pp.88-93
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    • 1994
  • This study is concerned with an analytic derivation of the probability density function applicable for wave heights in finite water depth using two different methods. As the first method of the study, a probability density function is developed by applying a series of polynomials which is orthogonal with respect to Rayleigh probability density function. The newly derived probability density function is compared with the histogram constructed from wave data obtained in finite water depth which indicate strong non-Gaussian characteristics. Although the probability density represents the histogram very well. it has negative density at large values. Although the magnitude of the negative density is small. it negates the use of the distribution function fer estimating extreme values. As the second method of the study, a probability density function of wave height is developed by applying the maximum entropy method. The probability density function thusly derived agrees very well with the wave height distribution in shallow water, and appears to be useful in estimating extreme values and statistical properties of wave heights in finite water depth. However, a functional relationship between the probability distribution and the non-Gaussian characteristics of the data cannot be obtained by applying the maximum entropy method.

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