• Title/Summary/Keyword: 정규 분포 변환

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A Three-Dimensiomal Slope Stability Analysis in Probabilistic Solution (3차원(次元) 사면(斜面) 안정해석(安定解析)에 관한 확률론적(確率論的) 연구(研究))

  • Kim, Young Su
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.4 no.3
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    • pp.75-83
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    • 1984
  • The probability of failure is used to analyze the reliability of three dimensional slope failure, instead of conventional factor of safety. The strength parameters are assumed to be normal variated and beta variated. These are interval estimated under the specified confidence level and maximum likelihood estimation. The pseudonormal and beta random variables are generated using the uniform probability transformation method according to central limit theorem and rejection method. By means of a Monte-Carlo Simulation, the probability of failure is defined as; $P_f=M/N$ N: Total number of trials M: Total number of failures Some of the conclusions derived. from the case study include; 1. Three dimensional factors of safety are generally much higher than 2-D factors of safety. However situations appear to exist where the 3-D factor of safety can be lower than the 2-D factor of safety. 2. The $F_3/F_2$ ratio appears to be quite sensitive to c and ${\phi}$ and to the shape of the 3-D shear surface and the slope but not to be to the unit weight of soil. 3. From the two models (normal, beta) considered for the distribution of the factor of safety, the beta distribution generally provides lager than normal distribution. 4. Results obtained using the beta and normal models are presented in a nomgraph relating slope height and slop angle to probability of failure.

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The Slanted License Plate Extraction Algorithm Using Bimodality (이원 양상을 이용한 기울어진 차량 번호판 영역 추출 알고리즘)

  • Kim, Bo-Eun;Song, Wonseok;Lee, Seung-Rae
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2014.01a
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    • pp.339-342
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    • 2014
  • 현재 차량의 출입통제 및 주정차 단속 등이 차량 번호판 자동 인식 시스템을 통해 자동화 되고 있다. 본 논문은 촬영 각도에 따라 기울어지거나 왜곡된 번호판에 대해서도 잘 동작하는 번호판 영역 추출 알고리즘을 제안한다. 번호판의 배경과 문자의 밝기 대비가 커서 그 분포가 이원 양상을 보인다는 점을 이용하여 번호판의 중심부와 대략적인 후보 영역을 추출한다. 이후 허프 변환을 통하여 번호판의 네 모서리에 해당하는 직선을 검출한다. 이들 네 직선의 교점이 번호판의 꼭짓점이 된다. 네 꼭짓점의 좌표를 이용하여 왜곡된 번호판을 실제 번호판의 가로와 세로 비율에 맞는 정규화 된 모양으로 변환한다. 차량의 측면 1m~3m 사이의 다양한 거리에서 촬영한 이미지로 실험한 결과 일반적인 실외 조명 아래에서 차체의 색에 관계없이 번호판 영역 추출에 성공하였다.

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Uniform Color Image Transformation based on Color Cluster Model (칼라 클러스터 모델에 근거한 균일 칼라 영상 변환)

  • Lee, Jeong-Hwan;Park, Se-Hyeon;Kim, Jung-Su
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.6
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    • pp.1646-1657
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    • 1996
  • This paper presents a color transformation method based on a uniform color image model. Firstly, color variation factors are grouped into identical (multiplicative) factor and independent(additive) one for the color model, and they are modelled by the Gaussian function. The shape of a color cluster in (R, G, B) feature space is an ellipsoid whose elongated major axis correspond to the direction of mean vector. Secondly, the transformation of a color cluster using the model is studied. A transformation method for three dimensional coordinated is described. The proposed method is applied to artificial and natural color images. By the result of experiments, the elongated major axis of each cluster making up the transformed color image aggress with the direction of its mean vector.

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Wideband Channel Simulation Algorithm for the Suzuki Fading Channel (Suzuki 페이딩 채널에 대한 광대역 채널 시뮬레이션 알고리즘)

  • 박태준;박상수;김형명
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.8
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    • pp.1493-1502
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    • 1994
  • In this paper we propose a new wideband channel simulation algorithm which exactly simulates the Suzuki fading channel, a mixture of short term and long term fading. Proposed algorithm generates the incoming reflected waves as Suzuki distributed random signals and is possible to arbitrarily adjust the correlations among long term fading components of the incoming waves by using the Gaussian-to-lognormal transformation. Proposed algorithm can be applied to the simulation of the system performance.

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A Programming of Hydrologic Analysis Procedure for the Probable Isohyetal Chart in Korea (한국 확률강우량도 작성을 위한 수문해석방법 개발)

  • 이원환
    • Water for future
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    • v.20 no.2
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    • pp.139-150
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    • 1987
  • The present study is to develop the hydrologic analysis procedure for the purpose of drawing the probable isohyetal charts in Korea. In the establishment of optimal distribution types, the eleven continuous probability distribution types included the transformed variable normal distribution (Y-k method) is applied to the annual maximum rainfall depth series in each duration. The optimal selection of distribution is done by Chi-square test and Kolmogorov-Smirnov test in the eui-class interval. The application of probability distribution is checked by the fitting on four durations of annual maximum rainfall data(10 min., 60 min., 6 hrs., and 24hrs.) at four meteorological stations in Korea (Seoul, In Cheon, Bu san, and Kwang Ju). The properties in hydrologic application of the considered distribution and the hydrologic characteristics of the applied rainfall data groups are investigated from the results of this study.

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A Practical Approach Determining an IDF formula with Limited Rainfall-Duration Data Availability (제한적 강우-지속기간 자료를 이용한 실용적 IDF 관계식의 유도)

  • Seong, Kee-Won
    • Journal of Korea Water Resources Association
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    • v.41 no.6
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    • pp.587-595
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    • 2008
  • In order to aid the derivation of the IDF relationship for a station with insufficient duration-rainfall data, an approach to derive a simple and practical IDF formula is presented. The IDF formula is described simply by the term of the two parameters and a design frequency. The model parameters were estimated from a statistical technique based on the normal distribution of transformed rainfall intensities. In order to give the transformed data, both the Kruskal-Wallis statistic and the Manly transformation of duration-rainfall data were adopted. With the methods, the proposed IDF formula becomes a simpler model that compares well with conventional form. In addition, it allows avoiding an exceptional condition of the higher rainfall intensity for longer duration. The performance of the proposed formula was evaluated by using the limited rainfall data for short duration from two gauge stations. The result showed that the IDF formula developed in this work was an effective tool, providing a reliable relationship between the intensity and duration even though insufficient data are only available.

The Shapiro-Wilk Type Test for Exponentiality Based on Progressively Type II Censored Data (전진 제 2종 중도절단자료에 대한 Shapiro-Wilk 형태의 지수검정)

  • Kim, Nam-Hyun
    • The Korean Journal of Applied Statistics
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    • v.23 no.3
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    • pp.487-495
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    • 2010
  • This paper develops a goodness of fit test statistic to test if the progressively Type II censored sample comes from an exponential distribution with origin known. The test is based on normalizing spacings and Stephens (1978)' modified Shapiro and Wilk (1972) test for exponentiality. The modification is for the case where the origin is known. We applied the same modification to Kim (2001a)'s statistic, which is based on the ratio of two asymptotically efficient estimates of scale. The simulation results show that Kim (2001a)'s statistic has higher power than Stephens' modified Shapiro and Wilk statistic for almost all cases.

Applicability Assessment of the Automatic Multi-segmented Rating Curve (자동구간분할 수위-유량관계 곡선식의 적용성 평가)

  • Kim, Yeonsu;Kim, Jeongyup;An, Hyunuk;Jung, Kwansue;Oh, Sungryul
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.548-548
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    • 2016
  • 수위-유량관계 곡선식은 시계열 수위자료를 유량자료로 변환해줄 수 있는 회귀식으로 측정단면의 형태, 단면 상 하류의 지형요인 등으로 인하여 영향을 고려하기 위하여 기간분할 혹은 구간분할을 수행한다. 구간분할을 위하여 측정단면의 변화를 고려한 관계자의 주관적인 판단이 주요 근거로 이용되고 있다. 따라서 본 연구에서는 기존에 개발된 수위-유량관계 곡선식의 자동구 구간분할방법에 대한 적용성 검토를 수행하였다. 객관화된 분할근거의 제시를 위하여 주관성을 배제하고 관측데이터를 기반으로 수위 증가에 따른 변동계수를 계산하였고, 변동계수가 정규분포를 따르는 것으로 가정 하에 계산된 변동계수가 전 단계에서 계산된 95% 신뢰구간 이내에 존재하지 않는 경우 구간을 분할하였다. 즉, 변동계수를 이용하여 집단 간의 특성을 비교하였으며, 변동 계수의 분포를 이용하여 분할을 위한 기준 값을 제시하였다. 방법론의 추정능력 검토를 위하여 가상의 곡선으로부터 생성된 데이터에 제안된 방법론을 적용하였고, 실제 유역에 적용성 검토를 위하여 금강에 위치한 무주 및 산계교 수위관측소 지점에 적용하였다. 결과적으로 자동으로 분할된 관계곡선식을 사용하여 추정의 정확도를 높일 수 있을 뿐만 아니라 외삽을 하는 경우 역시 그 정확도를 향상할 수 있음을 확인하였다. 마지막으로 실측값을 활용한 수위-유량관계 곡선식의 구축 시 구간 분할 전 후의 잔차데이터에 대하여 Shapiro-wilk 정규성 검정을 수행하였으며, 구간분할 후 잔차가 정규성을 갖게 되는 것으로 나타났다.

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Power comparison for 3×3 split plot factorial design (3×3 분할요인모형의 검정력 비교연구)

  • Choi, Young Hun
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.1
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    • pp.143-152
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    • 2017
  • Restriction of completely randomization within a block can be handled by a split plot factorial design splitted by several plots. $3{\times}3$ split plot factorial design with two fixed main factors and one fixed block shows that powers of the rank transformed statistic for testing whole plot factorial effect and split plot factorial effect are superior to those of the parametric statistic when existing effect size is small or the remaining effect size is relatively smaller than the testing factorial effect size. Powers of the rank transformed statistic show relatively high level for exponential and double exponential distributions, whereas powers of the parametric and rank transformed statistic maintain similar level for normal and uniform distributions. Powers of the parametric and rank transformed statistic with two fixed main factors and one random block are respectively lower than those with all fixed factors. Powers of the parametric andrank transformed statistic for testing split plot factorial effect with two fixed main factors and one random block are slightly lower than those for testing whole plot factorial effect, but powers of the rank transformed statistic show comparative advantage over those of the parametric statistic.

Properties of alternative VaR for multivariate normal distributions (다변량 정규분포에서 대안적인 VaR의 특성)

  • Hong, Chong Sun;Lee, Gi Pum
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.6
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    • pp.1453-1463
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    • 2016
  • The most useful financial risk measure may be VaR (Value at Risk) which estimates the maximum loss amount statistically. The VaR tends to be estimated in many industries by using transformed univariate risk including variance-covariance matrix and a specific portfolio. Hong et al. (2016) are defined the Vector at Risk based on the multivariate quantile vector. When a specific portfolio is given, one point among Vector at Risk is founded as the best VaR which is called as an alternative VaR (AVaR). In this work, AVaRs have been investigated for multivariate normal distributions with many kinds of variance-covariance matrix and various portfolio weight vectors, and compared with VaRs. It has been found that the AVaR has smaller values than VaR. Some properties of AVaR are derived and discussed with these characteristics.