• 제목/요약/키워드: largest extreme value

검색결과 8건 처리시간 0.026초

SECOND ORDER REGULAR VARIATION AND ITS APPLICATIONS TO RATES OF CONVERGENCE IN EXTREME-VALUE DISTRIBUTION

  • Lin, Fuming;Peng, Zuoxiang;Nadarajah, Saralees
    • 대한수학회보
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    • 제45권1호
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    • pp.75-93
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    • 2008
  • The rate of convergence of the distribution of order statistics to the corresponding extreme-value distribution may be characterized by the uniform and total variation metrics. de Haan and Resnick [4] derived the convergence rate when the second order generalized regularly varying function has second order derivatives. In this paper, based on the properties of the generalized regular variation and the second order generalized variation and characterized by uniform and total variation metrics, the convergence rates of the distribution of the largest order statistic are obtained under weaker conditions.

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

  • 박성호;김재훈
    • 대한기계학회논문집A
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    • 제36권2호
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    • pp.223-230
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    • 2012
  • 취성이 큰 재료의 강도는 일반적으로 정규분포 또는 와이블분포로 설명되어 왔으나 감마분포도적합할 수 있다. 재료의 파손이 가해진 응력의 연속된 값 중 가장 큰 값에 좌우된다면 극치분포를 적용하는 것이 합당하다. 본 논문에서는 재료강도가 감마분포를 따르며 극치분포하는 응력이 작용할 경우 응력-강도 간섭이론에 기반하여 신뢰도 계산식을 제시하였으며, 확률분포 파라미터별 신뢰도와 안전율 및 변동계수와의 관계를 통하여 신뢰도 계산식의 유효성을 입증하였다. 안전율과 변동계수에 기반한 신뢰도 예측방법으로 목표 신뢰도가 설정되었을 때 최소한 요구되는 안전율과 최대로 허용되는 응력의 변동계수를 예측할 수 있다.

1904년 이래의 부산 기후 변동성 및 생활기상지수들의 기후변화 특성 연구 (A Study on Characteristics of Climate Variability and Changes in Weather Indexes in Busan Since 1904)

  • 전하은;하경자;김혜렴
    • 대기
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    • 제33권1호
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    • pp.1-20
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    • 2023
  • Holding the longest observation data from April 1904, Busan is one of the essential points to understand the climate variability of the Korean Peninsula without missing data since implementing the modern weather observation of the South Korea. Busan is featured by coastal areas and affected by various climate factors and fluctuations. This study aims to investigate climate variability and changes in climatic variables, extremes, and several weather indexes. The statistically significant change points in daily mean rainfall intensity and temperature were found in 1964 and 1965. Based on the change point detection, 117 years were divided into two periods for daily mean rainfall intensity and temperature, respectively. In the long-term temperature analysis of Busan, the increasing trend of the daily maximum temperature during the period of 1965~2021 was larger than the daily mean temperature and the daily minimum temperature. Applying Ensemble Empirical Mode Decomposition, daily maximum temperature is largely affected by the decadal variability compared to the daily mean and minimum temperature. In addition, the trend of daily precipitation intensity from 1964~2021 shows a value of about 0.50 mm day-1, suggesting that the rainfall intensity has increased compared to the preceding period. The results in extremes analysis demonstrate that return values of both extreme temperatures and precipitation show higher values in the latter than in the former period, indicating that the intensity of the current extreme phenomenon increases. For Wet-Bulb Globe Temperature (effective humidity), increasing (decreasing) trend is significant in Busan with the second (third)-largest change among four stations.

Using Reliability Tools to Characterize Wood Strand Thickness of Oriented Strand Board Panels

  • Chastain, J.S.;Young, T.M.;Guess, F.M.;Leo, R.V.
    • International Journal of Reliability and Applications
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    • 제10권2호
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    • pp.89-99
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    • 2009
  • Oriented Strand Board (OSB) is an important engineered wood product used in housing construction which has a lower environmental impact or "carbon footprint." In this paper, reliability and statistical tools are applied to gain insights on the strand thickness of OSB panels. An OSB panel consists of several hundred wood strands that are resinated and pressed. The variability of OSB strand thickness for six manufacturers in the Eastern United States is examined as a whole, as well as individually. Little research exists on OSB strand thickness across mills even though strand thickness variability has been documented in laboratory experiments to greatly influence the dimensional stability of OSB panels. Our aims are to quantify and characterize strand thickness, plus apply reliability techniques, such as Kaplan-Meier curves, to characterize the probability of strand thickness. We further explore graphically and statistically the thickness of the strands.

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An advanced technique to predict time-dependent corrosion damage of onshore, offshore, nearshore and ship structures: Part I = generalisation

  • Kim, Do Kyun;Wong, Eileen Wee Chin;Cho, Nak-Kyun
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.657-666
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    • 2020
  • A reliable and cost-effective technique for the development of corrosion damage model is introduced to predict nonlinear time-dependent corrosion wastage of steel structures. A detailed explanation on how to propose a generalised mathematical formulation of the corrosion model is investigated in this paper (Part I), and verification and application of the developed method are covered in the following paper (Part II) by adopting corrosion data of a ship's ballast tank structure. In this study, probabilistic approaches including statistical analysis were applied to select the best fit probability density function (PDF) for the measured corrosion data. The sub-parameters of selected PDF, e.g., the largest extreme value distribution consisting of scale, and shape parameters, can be formulated as a function of time using curve fitting method. The proposed technique to formulate the refined time-dependent corrosion wastage model (TDCWM) will be useful for engineers as it provides an easy and accurate prediction of the 1) starting time of corrosion, 2) remaining life of the structure, and 3) nonlinear corrosion damage amount over time. In addition, the obtained outcome can be utilised for the development of simplified engineering software shown in Appendix B.

수두 고단백 계통육성을 위한 기초적 연구 I. 계통육성을 위한 조단백질 분석법의 비교 (Basic Studies for the Breeding of High Protein Rice. I. Comparison of the analytical methods for the measurement of the protein content in the brown rice)

  • 허문회;서학수
    • 한국작물학회지
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    • 제12권
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    • pp.1-5
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    • 1972
  • 수도 고단백 계통선발을 위한 미립내 질소함량 검정 방법을 첨부 검토하기 위하여 예비선발된 36계통 및 대조품종을 5가지 질소수준(0, 7.5, 15.0, 22.5, 30.0, kg/10a)에서 재배하여 그 현미를 Kjeldahl법, Dye binding법 및 Biurett법으로 분석하여 3가지 방법에 의한 분석치간의 상관을 검토하였으며 그 중 6개품종에 대하여 동일시료를 3가지 분석법으로 6회 반복한 분석치의 분산을 검토하였고 3가지 방법으로 시료 100점당 소요된 시약과 노력을 비교하였다. 그 결과를 요약하면 다음과 같다. 1. D.B.C.법에 의한 분석치는 Biurett법에 의한 분석치보다 Kjeldahl법과의 상관이 높았으나 D.B.C. 법에서는 극도로 높은 질소수준에서와 극도로 낮은 질소수준에서의 분석치는 Kjeldahl법에 의한 분석치에 비하여 과대평가되는 경향이 있다. Biurett법은 비교적 오차가 커서 Kjeldahl 법과의 상관이 떨어지지만 모든 질소수준에서 평행적인 경향이었다. 2. 품종에 따라 시용된 질소수주에 대한 반응도 달랐지만 품종과 질소수준에 따라 3가지 분석방법의 반응도 달랐다. 3. 3가지 분석방법별 분석치의 변이계수를 비교하면 Biurett법이 가장 크며 다음은 D.B.C.법인데 Biurett법에서는 각질소수준에서 모두 높았지만 질소수준이 높아짐에 따라 변이계수도 커졌는데 Kjeldahl법이나 D.B.C.에서는 질소수준이 낮아짐에 따라 변이 계수가 커졌다. 4. 3가 분석방법에서 소요되는 약품과 노력을 조사하여 Kjeldahl법에 비하여 D.B.C.법이 현저하게 절약되며 D.B.C.법 보다 Biurett법은 더욱 절약될 수 있음을 알았다.

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Climate Change Impacts in Natural Resources and Livestock in Mongolia Climate

  • Batima, P.;Natsagdorj, L.;Bayarbaatar, L..;Bolortsetseg, B.;Natsagsuren, N.;Erdenetsetseg, B.
    • 한국제4기학회지
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    • 제18권2호통권23호
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    • pp.103-104
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    • 2004
  • This paper discuss some results of observed changes of meteorological elements as temperature, precipitation and some extreme indexes in Mongolia. Mongolia is one of the largest landlocked countries in the world. The climate is characterized by a long lasting cold winter, dry and hot summer, low precipitation, high temperature fluctuation and relatively high number of sunny days per year. During last 60 years the annual mean air temperature has risen $1.66^{\circ}C$. Intensive warming of > $2^{\circ}C$ was observed at higher altitudes of high mountains when warming of < $1^{\circ}C$ was observed the Domod steppe and the Gobi Desert. Heat Wave Duration have statistically significant risen trend with increaded number of days by 8-18 at significance level of 95-99.9% depending on geography and Cold Wave Duration have shortened by 13.3 days significance level of 95-99%. In general, by the amount of precipitation, Mongolia falls in semi-arid and arid region. It is 300-350 mm in the high mountain regions while it is only 50-150 mm in Gobi Desert regions. The changes of annual precipitation have very localized character i.e.decreasing at one site and increasing at a sit nearby. Annual precipitation decreased by 30-90 mm in the northern-central region and increased by 2-60 mm in the western and eastern region. The magnitude of alteration changes in precipitation regardless increasing or decreasing is 5-25%. A trends, significant at the level of 90%, found where changes are more than 40 mm or more than 15% of annual mean value. Moreover, the soil moisture resources was decreased in the last 40 years. Specially, moisture contents of the top soil have decreased 2 times(N. Natsagsuren, 2002). Months of June and July in Mongolia is the year that moisture is not inhibiting vegetation growth. Unfortunately, its also found that moisture in this time tends to decrease. Increased temperature, decreased precipitation and soil moisture are most likely resulted in occurences of more intense drought spells that have taken place during the recent years. Intimately, these changes have considerable impact on livestock in Mongolia.

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HadGEM3-RA 지역기후모델을 이용한 CORDEX 동아시아 2단계 지역의 기온과 강수 모의 평가 (Evaluation of Temperature and Precipitation over CORDEX-EA Phase 2 Domain using Regional Climate Model HadGEM3-RA)

  • 변재영;김태준;김진욱;김도현
    • 한국지구과학회지
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    • 제43권3호
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    • pp.367-385
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    • 2022
  • 본 연구는 영국기상청에서 개발된 지역기후모델 Hadley Centre Global Environmental Model version 3 regional climate model (HadGEM3-RA)로부터 모의된 동아시아 지역의 기온과 강수 결과를 평가하였다. HadGEM3-RA는 Coordinated Regional climate Downscaling Experiment-East Asia (CORDEX-EA) Phase II 영역에서 15년 (2000-2014년) 모의되었다. 동아시아 여름 몬순에 의한 HadGEM3-RA 강수대 분포는 Asian Precipitation Highly Resolved Observational Data Integration Towards Evaluation of water resources (APHRODITE) 자료와 잘 일치한다. 그러나, 동남아시아 강수는 과대 모의하며 남한에서는 과소 모의한다. 특히 모의된 여름철 강수량과 APHRODITE 강수량은 남한지역에서 가장 낮은 상관 계수와 가장 큰 오차크기(RMSE)를 보인다. 동아시아 기온 예측은 과소 모의하며 겨울철 오차가 가장 크다. 남한 기온 예측은 봄 동안 가장 큰 과소 모의 오차를 나타냈다. 국지적 예측성을 평가하기 위하여 서울기상관측소 ASOS 자료와 비교한 기온과 강수의 시계열은 여름철 강수와 겨울철 기온이 과소 모의하는 공간 평균된 검증 결과와 유사하였다. 특히 여름철 강수량 증가시 과소 모의 오차가 증가하였다. 겨울철 기온은 저온에서는 과소 모의하나 고온은 과대 모의하는 경향이 나타났다. 극한기후지수 비교 결과는 폭염은 과대 모의하여, 집중호우는 과소 모의하는 오차가 나타났다. 수평해상도25km로 모의된 HadGEM3-RA는 중규모 대류계와 지형성 강수 예측에서 한계를 보였다. 본 연구는 지역기후모델 예측성 개선을 위한 초기 자료 개선, 해상도 향상, 물리 과정의 개선이 필요함을 지시한다.