• 대한수학회지
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• 제52권5호
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• pp.1023-1036
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• 2015

Let {Xn; $n{\succeq}1$} be a field of martingale differences taking values in a p-uniformly smooth Banach space. The paper provides conditions under which the series ${\sum}_{i{\preceq}n}\;Xi$ converges almost surely and the tail series {$Tn={\sum}_{i{\gg}n}\;X_i;n{\succeq}1$} satisfies $sup_{k{\succeq}n}{\parallel}T_k{\parallel}=\mathcal{O}p(b_n)$ and ${\frac{sup_{k{\succeq}n}{\parallel}T_k{\parallel}}{B_n}}{\rightarrow\limits^p}0$ for given fields of positive numbers {bn} and {Bn}. This result generalizes results of A. Rosalsky, J. Rosenblatt [7], [8] and S. H. Sung, A. I. Volodin [11].

• 천문학회지
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• 제29권2호
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• pp.83-91
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• 1996

We present a model that rotating primordial blackholes(PBHs) produced at the end of inflation generate the random, non-oriented primordial magnetic field. PBHs are copiously produced as the Universe completes the cosmic phase transition via bubble nucleation and tunneling processes in the extended inflation hypothesis. The PBHs produced acquire angular momentum through the mutual tidal gravitational interaction. For PBHs of mass less than 1013g, one can show that the evaporation (photon) luminosity of PBHs exceeds the Eddington limit. Thus throughout the lifetime of the rotating PBH, radiation flow from the central blackhole along the Kerr-geodesic exerts torque to ambient plasma. In the process similar to the Bierman's battery mechanism electron current reaching up to the horizon scale is induced. For PBHs of Grand Unified Theories extended inflation with the symmetry breaking temperature of $T_{GUT}\;\~\;10^{10}$ GeV, which evaporate near decoupling, we find that they generate random, non-oriented magnetic fields of $\~10^{-11}G$ on the last-scattering surface on (the present comoving) scales of $\~O(10)Mpc$.

• Wind and Structures
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• 제8권5호
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• pp.309-324
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• 2005

Aerodynamic damping often plays an important role in estimations of wind induced dynamic responses of super high-rise buildings. Across- and along-wind aerodynamic damping ratios of a square super high-rise building with a height of 300 m are identified with the Random Decrement technique (RDT) from random vibration responses of the SDOF aeroelastic model in simulated wind fields. Parametric studies on effects of reduced wind velocity, terrain type and structural damping ratio on the aerodynamic damping ratios are further performed. Finally formulas of across- and along-wind aerodynamic damping ratios of the square super high-rise building are derived with curve fitting technique and accuracy of the formulas is verified.

• Journal of the Korean Physical Society
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• 제73권10호
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• pp.1561-1565
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• 2018

The dielectric properties of the uniaxial relaxor ferroelectric $Sr_xBa_{1-x}Nb_2O_6$ with x = 0.75 were investigated along the polar [001] direction as a function of temperature. The capacitance maximum showed the frequency dispersion commonly observed in relaxors. Additional weak dielectric anomalies were observed in the paraelectric phase; they were only seen during the heating process and disappeared upon subsequent cooling. These were attributed to the existence of large polar clusters strongly pinned at defects and/or to random fields and their metastable characters. Aligning the ferroelectric domains along the polar axis at room temperature removed the high-temperature dielectric anomalies. The dependences of the capacitance and the dielectric maximum temperature on the magnitude of the poling field were investigated.

• Computers and Concrete
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• 제13권5호
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• pp.659-677
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• 2014

A Bayesian response surface updating procedure is applied in order to update the parameters of the covariance function of a random field for concrete properties based on a limited number of available measurements. Formulas as well as a numerical algorithm are presented in order to update the parameters of response surfaces using Markov Chain Monte Carlo simulations. The parameters of the covariance function are often based on some kind of expert judgment due the lack of sufficient measurement data. However, a Bayesian updating technique enables to estimate the parameters of the covariance function more rigorously and with less ambiguity. Prior information can be incorporated in the form of vague or informative priors. The proposed estimation procedure is evaluated through numerical simulations and compared to the commonly used least square method.

• Wind and Structures
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• 제10권2호
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• pp.153-176
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• 2007

The Proper Orthogonal Decomposition (POD) is a statistical method particularly suitable and versatile for dealing with many problems concerning wind engineering and several other scientific and humanist fields. POD represents a random process as a linear combination of deterministic functions, the POD modes, modulated by uncorrelated random coefficients, the principal components. It owes its popularity to the property that only few terms of the series are usually needed to capture the most energetic coherent structures of the process, and a link often exists between each dominant mode and the main mechanisms of the phenomenon. For this reason, POD modes are normally used to identify low-dimensional subspaces appropriate for the construction of reduced models. This paper provides a state-of-the-art and some prospects on POD, with special regard to its framework and applications in wind engineering. A wide bibliography is also reported.

• 한국지리정보학회지
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• 제11권1호
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• pp.125-137
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• 2008

본 연구는 향후 황새 복원예정지역을 선정하기 위한 서식지 적합 모델을 개발하는데 기초 자료로 활용하기 위한 목적으로 과거 황새 번식지역의 환경적 변인의 특성을 분석하였다. 청문조사를 통해 6곳의 번식지점을 추가적으로 확인하고, 문헌에 기록된 4개 지역을 포함하여 총 10개 번식지점의 환경적 특성을 분석하였다. 1970년대 토지이용현황도(1:50,000)를 이용하여 황새 번식지 선택에 중요한 환경 변인인 농경지, 하천, 저수지, 도시취락을 분석하였고, 위성영상(Landsat MSS; 1974년) 분석을 통해 번식지점으로부터 5km 반경 내에 포함되는 산림, 수역, 농경지, 초지, 도시화 지역으로 분류하여 면적을 산출하였다. 그리고 무작위지점(random points) 93개 지역과 황새 번식지점 10개 지역의 5km 반경 내에 포함된 5가지 토지피복 유형별 면적의 평균을 비교 검정하였다. 분석결과, 과거 황새 번식지점은 도시취락, 농경지와 인접하여 위치하였으며, 10개 지역 중 7개 지역에서 하폭 30m 이상의 하천이 반경 1km 내에 위치하고 있었다. 황새가 둥지를 튼 영소목의 해발고도는 40~116.38m이었고, 평지나 경사도가 30도 이하인 사면에 영소목이 위치하였다. 인공위성영상으로 분석된 황새 번식지점으로부터 5km 반경 내의 토지피복 유형별 구성비율은 산림(53.7%), 농경지(28.3%), 초지(16.7%), 수역(0.8%), 도시화지역(0.6%)으로 나타났다. 무작위 지점(random point)과 번식지점의 토지유형별 면적의 평균을 비교 검정한 결과, 유의미한 차이를 보이는 토지유형은 산림, 농경지, 초지, 도시화지역이었다.

• 정보처리학회논문지:소프트웨어 및 데이터공학
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• 제5권11호
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• pp.555-562
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• 2016

의미 역 결정은 한 문장에서 술어와 그것의 논항간의 의미 관계를 결정해주는 것을 말한다. 한편 한국어 의미 역 결정은 영어와는 다른 한국어 고유의 특이한 언어 구조 때문에 많은 어려움을 가지고 있는데, 이러한 어려움 때문에 지금까지 제안된 다양한 방법들을 곧바로 적용하기에 어려움이 있었다. 다시 말하자면, 지금까지 제안된 방법들은 영어나 중국어에 적용했을 때에 비해서 한국어에 적용하면 낮은 성능을 보여주었던 것이다. 이러한 어려움을 해결하기 위하여 본 연구에서는 조사나 어미와 같은 접사구조를 분석하는 것에 초점을 맞추었다. 한국어는 일본어와 같은 교착어의 하나인데, 이들 교착어에서는 매우 잘 정리되어 있는 접사구조가 어휘에 반영되어 있다. 교착어는 바로 이들 잘 정의된 접사 구조 때문에 매우 자유로운 어순이 가능하다. 또한 본 연구에서는 단일 형태소로 이루어진 논항은 기초 통계량을 기준으로 의미 역 결정을 하였다. 또한 지지 벡터 기계(Support Vector Machine: SVM)과 조건부 무작위장(Conditional Random Fields: CRFs)와 갗은 기계 학습 알고리즘을 사용하여 앞에서 결정되지 못한 논항들의 의미 역을 결정하였다. 본 논문에서 제시된 방법은 기계 학습 접근 방식이 처리해야 하는 논항의 범위를 줄여주는 역할을 하는데, 이는 기계 학습 접근은 상대적으로 불확실하고 부정확한 의미 역 결정을 하기 때문이다. 실험에서는 본 연구는 15,224 논항을 사용하였는데, 약 83.24%의 f1 점수를 얻을 수 있었는데, 이는 한국어 의미 역 결정 연구에 있어서 해외에서 발표된 연구 중 가장 높은 성능으로 알려진 것에 비해 약 4.85%의 향상을 보여준 것이다.

• 응용통계연구
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• 제22권2호
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• pp.425-433
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• 2009

Spatial models suitable for describing the evolving random fields in climate and environmental systems have been developed by many researchers. In general, rainfall in South Korea is highly variable in intensity and amount across space. This study characterizes the monthly and regional variation of rainfall fields using the spatial modeling. The main objective of this research is spatial prediction with the Bayesian hierarchical modeling (kriging) in order to further our understanding of water resources over space. We use the Bayesian approach in order to estimate the parameters and produce more reliable prediction. The Bayesian kriging also provides a promising solution for analyzing and predicting rainfall data.

• Journal of the Korean Statistical Society
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• 제31권2호
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• pp.177-198
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• 2002

The estimation of variance components or variance ratios in linear model is an important issue in plant or animal breeding fields, and various estimation methods have been devised to estimate variance components or variance ratios. However, many traits of economic importance in those fields are observed as dichotomous or polychotomous outcomes. The usual estimation methods might not be appropriate for these cases. Recently threshold linear model is considered as an important tool to analyze discrete traits specially in animal breeding field. In this note, we consider a hierarchical Bayesian method for the threshold animal model. Gibbs sampler for making full Bayesian inferences about random effects as well as fixed effects is described to analyze jointly discrete traits and continuous traits. Numerical example of the model with two discrete ordered categorical traits, calving ease of calves from born by heifer and calving ease of calf from born by cow, and one normally distributed trait, birth weight, is provided.