• Title/Summary/Keyword: large deviation

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Large Deviations for random walks with time stationary random distribution function

  • Hong, Dug-Hun
    • Journal of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.279-287
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    • 1995
  • Let $F$ be a set of distributions on R with the topology of weak convergence, and let $A$ be the $\sigma$-field generated by the open sets. We denote by $F_1^\infty$ the space consisting of all infinite sequence $(F_1, F_2, \cdots), F_n \in F and R_1^\infty$ the space consisting of all infinite sequences $(x_1, x_2, \cdots)$ of real numbers. Take the $\sigma$-field $F_1^\infty$ to be the smallest $\sigma$-field of subsets of $F_1^\infty$ containing all finite-dimensional rectangles and take $B_1^\infty$ to be the Borel $\sigma$-field $R_1^\infty$.

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An analysis of transient stability for small scale power system separated from large scale power system at N-2 contingency (2중 상정고장시 대규모 전력계통으로부터 분리된 소규모 전력계통 과도안정도 분석)

  • Yoon, Gi-Seob;Baik, Seung-Do;Gu, Sung-Wan;Lee, Chong-Soo
    • Proceedings of the KIEE Conference
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    • 2003.07a
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    • pp.134-135
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    • 2003
  • Abstract in case of the small scale power system separated from large scale power system N-2 contingency, the Over excitation, Under Frequency and Power swing Tripping Relay operate depending on unbalance Of Generation and Load. and then we studied and measured the angle and frequency deviation between generators. moreover, we compared real fault example with simulation results.

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동시입력이 있는 병렬네트워크의 과부하 확률 추정

  • 권민희;이지연
    • Proceedings of the Korean Statistical Society Conference
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    • 2000.11a
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    • pp.247-252
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    • 2000
  • 동시입력이 있는 병렬 네트워크에서 총 손님의 수가 특정한 값을 초과하여 과부하가 발생하는 확률을 추정하고자 한다. large deviation 이론을 적용하여 추정을 위한 최적의 확률 측도를 찾고 이를 이용하여 과부하 확률의 중요 샘플링 추정량을 구한다.

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ON THE INCREMENTS OF (N, d)-GAUSSIAN PROCESSES

  • Choi Yong-Kab;Hwang Kyo-Shin
    • Proceedings of the Korean Statistical Society Conference
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    • 2000.11a
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    • pp.115-118
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    • 2000
  • In this paper we establish limit results on the increments of (N, d)-Gaussian processes with independent components, via estimating upper bounds of large deviation probabilities on the suprema of (N, d)-Gaussian processes.

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Large Fire Forecasting Depending on the Changing Wind Speed and Effective Humidity in Korean Red Pine Forests Through a Case Study (사례분석을 통한 소나무림에서의 풍속과 실효습도 변화에 의한 대형산불 위험예보)

  • KANG, Sung-Chul;WON, Myoung-Soo;YOON, Suk-Hee
    • Journal of the Korean Association of Geographic Information Studies
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    • v.19 no.4
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    • pp.146-156
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    • 2016
  • In this study, we developed a large fire forecasting system using critical weather conditions, such as strong winds and effective humidity. We incorporated information on forest type prior to large fires using an incident case study. The case study includes thirty-seven large fires covering more than 100 ha of damaged area over the last 20 years. Dangerous large fire regions were identified as areas of more than 30 ha of Korean red pine and the surrounding two kilometers. Large fires occur when wind speeds average 5.3 m/s with a maximum of 11.6 m/s and standard deviation of 2.5 m/s. Effective humidity for large fires average 30% with a minimum of 13% and standard deviation of 14.5%. In dangerous Korean red pine stand areas, the large fire 'Watch' level is issued when effective humidity is 30-45% for more than two days and average wind speed is 7-10 m/s. The 'Warning' level is issued when effective humidity is less than 30% for more than two days and average wind speed is more than 11 m/s. Therefore, from now on, the large fire forecasting system can be used effectively for forest fire prevention activities based on a selection and concentration strategy in dangerous large fire regions using severe weather conditions.

Modified Scan Line Based Generalized Symmetry Transform with Selectively Directional Attention (선택적 방향주의를 가지는 수정된 스캔라인 일반화 대칭 변환)

  • Kim, Dong-Su;Jin, Seong-Il
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.38 no.4
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    • pp.411-421
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    • 2001
  • The generalized symmetry transform evaluates symmetry without segmentation and extracts regions of interest in an image by combining locality and reflectional symmetry The demand that the symmetry transform be local is reflected by the distance weight function. When calculating large regions-of-interest, we should select a large standard deviation of distance weight function. But such a large standard deviation makes the execution time increase in the second power of r, which is a radius of search area. In this paper we propose modified scan line based GST with selectively directional attention to improve time complexity The symmetry map of our proposed GST is found to be very similar to that of the existing GST. However the computation time of the proposed GST increases linearly with respect to r because our proposed GST evaluates symmetry between a pair of edge pixels along the scan lines. The GST computation decreases considerably when the proposed GST is peformed with selectively directional attention in case of large r. Several experiments in this paper demonstrate the time efficiency and the usefulness of our proposed GST.

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A STUDY ON THE GENERATING SYSTEM RELIABILITY INDEX EVALUATION WITH CONSIDERING THE LOAD FORECASTING UNCERTAINTY (수요예측에 오차를 고려한 신뢰도 지수 산정에 관한 연구)

  • Song, K.Y.;Kim, Y.H.;Cha, J.M.;Oh, K.H.
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.402-405
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    • 1991
  • This paper represents a new method for computing reliability indices by using Large Deviation method which is one of the probabilistic production cost simulations. The reliability measures are based on the models used for the loads and for the generating unit failure states. In computing these measures it has been tacitly assumed that the values of all parameters in the models are precisely known. In fact, however, some of these values must often be chosen with a considerable degree of uncertainty involved. This is particularly true for the forecast peak loads in the load model, where there is an inherent uncertainty in the method of forecasting, which are frequently based on insufficient statistics. In this paper, the effect of load forecasting uncertainty on the LOLP(Loss of Load Probability), is investigated. By applying the Large Deviation method to the IEEE Rilability Test System, it is verified that the proposed method is generally very accurate and very fast for computing system reliability indices.

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