• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2019년도 학술발표회
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• pp.390-390
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• 2019

Application of Hidden Markov Model (HMM) to the hydrological time series would be an innovative way to identify extreme rainfall events in a series. Even though the optimum number of hidden states can be identify based on maximizing the log-likelihood or minimizing Bayesian information criterion. However, occasionally value for the log-likelihood keep increasing with the state which gives false identification of the optimum hidden state. Therefore, this study attempts to identify optimum number of hidden states for Colombo station, Sri Lanka as fundamental approach to identify frequency and percentage of extreme rainfall events for the station. Colombo station consisted of daily rainfall values between 1961 and 2015. The representative station is located at the wet zone of Sri Lanka where the major rainfall season falls on May to September. Therefore, HMM was ran for the season of May to September between 1961 and 2015. Results showed more or less similar log-likelihood which could be identified as maximum for states between 4 to 7. Therefore, measure of central tendency (i.e. mean, median, mode, standard deviation, variance and auto-correlation) for observed and simulated daily rainfall series was carried to each state to identify optimum state which could give statistically compatible results. Further, the method was applied for the second major rainfall season (i.e. October to February) for the same station as a comparison.

• 천문학회보
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• 제37권2호
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• pp.232.1-232.1
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• 2012

With flourishing of new facilities, we are now set to expand the horizon of the human knowledge of the universe deep into the very beginning of the cosmic history of astronomical objects. In such an endeavor, extreme objects and cosmic events such as violent cosmic explosions, rapidly growing supermassive black holes, and proto-clusters of galaxies, are the objects to be investigated in order to unveil what was happening in the very early universe. We will discuss what we have learned and are expecting to discover from such extreme objects about the infant universe both currently and in future, highlighting some of our recent works.

• 대기
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• 제18권4호
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• pp.397-416
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• 2008

This study investigates a long-term variation of the annual extreme value for the instantaneous wind speed and the daily precipitation during 56 years (1951-2006) in Korea. Results show that there is a uptrend for both wind and precipitation extreme records, although regional trends are different from overall pattern in some places, particularly for wind speed. The estimated linear trends are 230 mm/56 yr in the daily precipitation and $15ms^{-1}$/56 yr in the maximum instantaneous wind speed. For precipitation, other indexes such as total annual precipitation, the number of extreme precipitation event, and precipitation intensity have dramatically increased as well, while there has been a clear downtrend for the number of strong wind events (> $14ms^{-1}$). It is found that the minimum surface pressure recorded during typhoon attacks in Korea tends to be decreasing, about 10 hPa/56 yr. This partly explains why the extreme values in the precipitation are increasing in Korea.

• International Journal of Naval Architecture and Ocean Engineering
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• 제6권4호
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• pp.1148-1159
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• 2014

Different procedures for estimation of the extreme global wave hydroelastic responses in ships are discussed. Firstly, stochastic procedures for application in detailed numerical studies (CFD) are outlined. The use of the First Order Reliability Method (FORM) to generate critical wave episodes of short duration, less than 1 minute, with prescribed probability content is discussed for use in extreme response predictions including hydroelastic behaviour and slamming load events. The possibility of combining FORM results with Monte Carlo simulations is discussed for faster but still very accurate estimation of extreme responses. Secondly, stochastic procedures using measured time series of responses as input are considered. The Peak-over-Threshold procedure and the Weibull fitting are applied and discussed for the extreme value predictions including possible corrections for clustering effects.

• Communications for Statistical Applications and Methods
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• 제30권6호
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• pp.531-550
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• 2023

The estimation of extreme quantiles is one of the main objectives of statistics of extremes (which deals with the estimation of rare events). In this paper, a robust estimator of extreme quantile of a heavy-tailed distribution is considered. The estimator is obtained through the minimum density power divergence criterion on an exponential regression model. The proposed estimator was compared with two estimators of extreme quantiles in the literature in a simulation study. The results show that the proposed estimator is stable to the choice of the number of top order statistics and show lesser bias and mean square error compared to the existing extreme quantile estimators. Practical application of the proposed estimator is illustrated with data from the pedochemical and insurance industries.

• 대한토목학회논문집
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• 제29권2B호
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• pp.141-153
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• 2009

우리나라에서 발생하는 호우의 발생원인은 태풍과 집중호우로 구분할 수 있다. 태풍은 비정기적으로 우리나라에 영향을 끼치며 막대한 강우를 유발시키며, 집중호우는 전선형 호우와 같은 장마와 지형성 호우인 국지성 호우를 의미한다. 태풍과 집중호우는 매년 우리나라에 극한강우를 발생시킴으로써 침수 등의 재해를 유발시키고 있다. 따라서 본 연구에서는 호우의 원인을 태풍과 집중호우로 구분하여, 집중호우로 인한 강우자료를 이용하여 확률강우량을 산정하였다. 집중호우에 대한 평가는 돌발홍수와 같은 짧은 지속시간의 호우에 대한 분석에 활용할 수 있다. 확률강우량의 산정방법은 일반적인 매개변수적 지점빈도해석과 EST를 적용하였다. EST의 적용을 위하여 해수면온도 및 습윤지수와 같은 수문기상인자와 집중호우로 인한 연최대시간강수량과의 상관성 분석을 수행하였다. 상관성 분석 결과에서 우리나라의 집중호우로 인한 강우량은 해수면온도와 밀접한 관련이 있는 것으로 나타났다. 또한, EST에 의해 산정된 확률강우량은 빈도해석한 확률강우량에 비하여 경기도 등의 우리나라의 서중부 지역에서 보다 큰 결과를 나타내었다. 따라서 우리나라의 서중부 지역에서는 집중호우로 인한 극한강우 발생에 대비해야 할 필요성이 있다.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2016년도 학술발표회
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• pp.201-201
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• 2016

The asymptotic extreme value distributions of maxima are a natural choice when designing against future extreme events like flood peaks or wave heights, given a stationary time series. The generalized extreme value distribution (GEV) is often utilised in this context because it is seen as a convenient single expression for extreme event analysis. However, the GEV has a drawback because the location of the distribution bound relative to the data is a discontinuous function of the GEV shape parameter. That is, for annual maxima approximated by the Gumbel distribution, the data is also consistent with a GEV distribution with an upper bound (no lower bound) or a GEV distribution with a lower bound (no upper bound). A more consistent single extreme value expression for design purposes is proposed as the Weibull distribution of smallest extremes, as applied to transformed annual maxima. The Weibull distribution limit holds here for sufficiently large sample sizes, irrespective of the extreme value domain of attraction applicable to the untransformed maxima. The Gumbel, Type 2, and Type 3 extreme value distributions thus become redundant, together with the GEV, because in reality there is only a single asymptotic extreme value distribution required for design purposes - the Weibull distribution of minima as applied to transformed maxima. An illustrative synthetic example is given showing transformed maxima from the normal distribution approaching the Weibull limit much faster than the untransformed sample maxima approach the normal distribution Gumbel limit. Some New Zealand examples are given with the Weibull distribution being applied to reciprocal transformations of annual flood maxima, where the untransformed maxima follow apparently different extreme value distributions.

• 천문학회보
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• 제29권2호
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• pp.36.2-36.2
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• 2004

• 천문학회보
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• 제30권2호
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• pp.48.1-48.1
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• 2005

• 대한원격탐사학회지
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• 제30권1호
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• pp.83-107
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• 2014

본 연구에서는 겨울철 영동지역에서 2001 ~ 2012(12년) 동안 일신적설 50 cm 이상의 3개 극한 대설사례를 선정하여 위성에서 관측된 구름을 추적하여 공간적 특성을 분석하였다. 그리고 그 특성을 레이더 강수와 비교하였다. 이 연구에서 선정된 영동지역 극한 대설사례는 영동지역(영동 앞바다)에서 발생하여 발달하거나 동한만 부근에서 발생하여 영동지역으로 이동해 들어오는 독립되고 잘 발달된 그리고 크기가 작은 대류형 구름과 관련이 있다. 주강수 시기의 이 구름덩어리의 최저휘도온도는 -$-40{\sim}-50^{\circ}C$로 낮고, 휘도온도 $-35^{\circ}C$ 혹은 $-40^{\circ}C$ 이하의 구름 크기는 약 17,000 ~ 40,000 $km^2$로 중규모 대류복합체($-52^{\circ}C$ 이하 구름크기 50,000 $km^2$)보다 작은 크기이다. 이 때 레이더의 강수면적(0.5 mm/hr 이상)도 약 4,000 ~ 8,000 $km^2$로 작고 독립된 강수 형태를 보인다. 위성의 구름영역과 레이더 강수영역은 영동 앞바다에 비슷하게 위치하였으나 레이더 강수의 중심이 상대적으로 영동 해안에 인접해 위치하였다. 또한 구름이 발달하는 과정에서 구름의 극값과 강수의 극값이 일치하지 않는 경우도 나타났다. 그러나 모든 사례에서 주강수 시기에 구름은 영동 앞바다에 위치하였다. 따라서 구름덩어리의 위치가 극한 대설에 있어 무엇보다 중요한 요소인 것으로 판단된다. 수증기 영상은 건조구역(암역)의 가장자리 북쪽에서 구름덩어리가 발달함을 보여주었다. 따라서 위성관측의 구름영상과 지상 레이더에 의한 강수관측 값과 비교하여 보았을 때, 위에 선정된 극한 대설 사례는 부저기압 혹은 소용돌이의 발달과 관련되어 있는 것으로 생각된다. 영동지역 극한 대설에 대한 초단기 예보에 있어 초기에 동한만 혹은 영동지역에서 작고 발달된 대류형 구름을 탐지하고 추적하는 것이 중요하다.