• Title/Summary/Keyword: plotting position

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Derivation of Plotting Position Formula Using Genetic Algorithm for Gumbel Distribution (유전자 알고리즘을 이용한 Gumbel 분포의 도시위치공식 유도)

  • Kim, Soo-Young;Shin, Hong-Joon;Kho, Youn-Woo;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.173-178
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    • 2008
  • 확률도시위치는 주로 도시적 해석을 통한 연최대홍수량 또는 연최대강우량의 초과확률의 추정치 산정에 사용되며 빈도해석을 통해 선정된 적정 확률분포형과 표본자료의 개략적인 적합도를 도시적으로 파악할 수 있도록 해주기 때문에 오래 전부터 널리 이용되어 왔다. 본 연구에서는 Gumbel 분포에 적합한 도시위치공식을 새롭게 추정하기 위해 Gumbel 분포의 order statistic과 확률가중모멘트를 이용하여 다양한 표본크기에 대한 도시위치공식의 기본식을 유도하였고, 최적화 기법 중 하나인 유전자 알고리즘을 이용하여 유도된 도시위치공식의 매개변수를 추정하였다. 또한 본 연구에서 추정된 도시위치공식과 기존에 널리 사용되고 있는 도시 치공식의 정확도를 비교하기 위해 reduced variate 간의 오차를 계산하여 비교 검토하였다. 그 결과, 금회 추정된 도시위치공식은 높은 순위에서는 기존의 도시위치공식에 비해 더 정확도가 높은 것으로 나타났고, 표본크기에 대한 순위를 모두 고려할 경우에는 기존의 도시위치공식에 비해 정확도가 높은 것으로 나타나 Gumbel 분포에 대해서 높은 정확도를 보이는 것으로 나타났다.

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Estimation for Mean and Standard Deviation of Normal Distribution under Type II Censoring

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
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    • v.21 no.6
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    • pp.529-538
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    • 2014
  • In this paper, we consider maximum likelihood estimators of normal distribution based on type II censoring. Gupta (1952) and Cohen (1959, 1961) required a table for an auxiliary function to compute since they did not have an explicit form; however, we derive an explicit form for the estimators using a method to approximate the likelihood function. The derived estimators are a special case of Balakrishnan et al. (2003). We compare the estimators with the Gupta's linear estimators through simulation. Gupta's linear estimators are unbiased and easily calculated; subsequently, the proposed estimators have better performance for mean squared errors and variances, although they show bigger biases especially when the ratio of the complete data is small.

Flood Frequency Analysis at Indogyo Station in Han River Basins (한강 인도교지점에서의 홍수빈도해석에 대한 고찰)

  • Lee, Young Seok;Kim, Kyung Duk;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2004.05b
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    • pp.1098-1102
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    • 2004
  • 본 연구에서는 수도권을 포함하는 한강하류부에서 가장 중요한 측수지점중 하나인 인도교지점의 연 최대 홍수량 자료에 내해서 빈도해석을 시행하였다. 자료를 3개의 자료(자료 I : $1918\~1940$, 자료 II: $1952\~2002$, 자료 III: 결측치를 제외한 $1918\~2002$)로 구분하였으며, 수문자료에 일반적으로 많이 사용하는 13가지 확률 분포형을 적용하여 매개변수를 추정한 뒤 적합성여부를 판정하였으며, 적합도 검정방법 및 도시적인 방법을 통하여 적정 확률분포형을 선정하였고, 채택된 분포형(gamma-3, GEV, Gumbel, Weibull-2)에 내하여 확률홍수량을 산정하였다. 또한, 위치도시공식(plotting position formula)과 역사적 홍수정보(historic information)를 이용한 빈도해석 결과와도 비교${\cdot}$분석하였다. 그 결과 확률분포형 가운데에는 GEV와 Gumbel 분포형이 인도교지점의 홍수빈도해석에 적합한 것으로 판단된다.

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Visualization of Bottleneck Distances for Persistence Diagram

  • Cho, Kyu-Dong;Lee, Eunjee;Seo, Taehee;Kim, Kwang-Rae;Koo, Ja-Yong
    • The Korean Journal of Applied Statistics
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    • v.25 no.6
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    • pp.1009-1018
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    • 2012
  • Persistence homology (a type of methodology in computational algebraic topology) can be used to capture the topological characteristics of functional data. To visualize the characteristics, a persistence diagram is adopted by plotting baseline and the pairs that consist of local minimum and local maximum. We use the bottleneck distance to measure the topological distance between two different functions; in addition, this distance can be applied to multidimensional scaling(MDS) that visualizes the imaginary position based on the distance between functions. In this study, we use handwriting data (which has functional forms) to get persistence diagram and check differences between the observations by using bottleneck distance and the MDS.

Comparison on Probability Plot Correlation Coefficient Test Considering Skewness of Sample for the GEV Distribution (표본자료의 왜곡도 영향을 고려한 GEV 분포의 확률도시 상관계수 검정방법 비교 검토)

  • Ahn, Hyunjun;Shin, Hongjoon;Kim, Sooyoung;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.47 no.2
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    • pp.161-170
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    • 2014
  • It is important to estimate an appropriate quantile for design of hydraulic structure. For this purpose, it is necessary to find the appropriate probability distribution which can represent the sample data well. Probability plot correlation coefficient test as one of goodness-of-fit test, is recently developed and has been known as a simple and powerful method. In this study, probability plot correlation coefficient test statistics using the plotting position considering the coefficients of skewness for the GEV distribution is derived, and represented by the regression equation. Monte-Carlo method is also performed to compare the rejection power between each method. As the results, the probability plot correlation coefficient test which is derived in this study is better than the others. In particular, when sample size is small and distribution has the shape parameter, rejection power of probability plot correlation coefficient test considering the coefficients of skewness is bigger than the others.

Coordinates Determination of tow Level Control Point by Aerial Triangulation (사진기준점측량을 이용한 저등급 기준점의 좌표결정)

  • 최재화;이석배;최윤수
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.6 no.2
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    • pp.34-41
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    • 1988
  • Nowadays the considerable improvements, not only in photogrammetric equipment but also in adjustment methods have led to a high accuracy of Aerial Triangulation and reach the step to obtain A.T. technique that uses Global Position System without ground control survery. The enterance of analytical plotter have made considerable development both in accuracy and in efficiency and improved working environment of A.T. by the combination of On-Line Analytical Plotting System. In this paper, in A.T., with using of analytical polotter, aims to improve the acccuracy in coordinates determination of low level control point. The result shows that in case of A.T. with analytical plotter AVIOLYT BC2, the accuracy of control points improves to 7% in planimetry and to 40% in height compared to A.T. with precision plotter Autograph A-8.

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Improved Method for Determining the Height of Center of Gravity of Agricultural Tractors

  • Kim, YuYong;Noh, JaeSeung;Shin, SeungYeop;Kim, ByoungIn;Hong, SunJung
    • Journal of Biosystems Engineering
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    • v.41 no.3
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    • pp.170-176
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    • 2016
  • Purpose: This study aimed to improve the method for determining the position of the center of gravity for agricultural tractors. Methods: The proposed method uses trigonometric functions and coordinate transformation. Data were measured according to the ISO 789-6 test procedures for the center of gravity of agricultural tractors. The height calculated using the proposed method was compared with that determined from an AutoCAD drawing. To find the center of gravity of the tractor, the algorithm for finding the intersection of the two lines was used. Results: The vertical height from the ground to the center of gravity is 682.06 mm. The vertical coordinates obtained from the calculation and the drawing were the same. Conclusions: The developed method uses trigonometric and polar coordinate transformation. The method was compared and verified with the AutoCAD drawing results. The results indicate that users can apply this developed method instead of the plotting method which is an inconvenient and time-consuming. Further, users can program Microsoft Excel to easily determine the vertical coordinate. In addition, researchers will propose this method to the ISO as a standard method for determining the center of gravity in accordance with ISO 789-6.

Flood Frequency Analysis by Wakeby and Kappa Distributions Using L-Moments (Wakeby 및 Kappa 분포의 L-모멘트법에 의한 홍수빈도분석)

  • Maeng, Seung-Jin;Lee, Soon-Hyuk;Lee, Hyeon-Gyu;Ryu, Kyong-Sik;Song, Gi-Heon
    • Journal of The Korean Society of Agricultural Engineers
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    • v.48 no.5
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    • pp.17-27
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    • 2006
  • The objective of this study is to induce the design floods by the methodology of L-moment including test of homogeneity, independence and outlier of the data of annual maximum flood flows for 12 water level gaging stations of South Korea. To select appropriate distribution of the data for annual maximum flood flows, the distributions of Wakeby and Kappa are applied and the appropriateness is judged by Kolmogorov-smirnov (K-S) test. The parameters of selected Wakeby and Kappa distributions are calculated by the method of L-moment and the design floods are induced. Through the comparative analysis using the relative root mean square errors (RRMSE) and relative absolute errors (RAE) of design floods, the result shows that the design floods by Wakeby distribution are closer to the observed data than those obtained by the Kappa distribution.

Tracking of ARPA Radar Signals Based on UK-PDAF and Fusion with AIS Data

  • Chan Woo Han;Sung Wook Lee;Eun Seok Jin
    • Journal of Ocean Engineering and Technology
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    • v.37 no.1
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    • pp.38-48
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    • 2023
  • To maintain the existing systems of ships and introduce autonomous operation technology, it is necessary to improve situational awareness through the sensor fusion of the automatic identification system (AIS) and automatic radar plotting aid (ARPA), which are installed sensors. This study proposes an algorithm for determining whether AIS and ARPA signals are sent to the same ship in real time. To minimize the number of errors caused by the time series and abnormal phenomena of heterogeneous signals, a tracking method based on the combination of the unscented Kalman filter and probabilistic data association filter is performed on ARPA radar signals, and a position prediction method is applied to AIS signals. Especially, the proposed algorithm determines whether the signal is for the same vessel by comparing motion-related components among data of heterogeneous signals to which the corresponding method is applied. Finally, a measurement test is conducted on a training ship. In this process, the proposed algorithm is validated using the AIS and ARPA signal data received by the voyage data recorder for the same ship. In addition, the proposed algorithm is verified by comparing the test results with those obtained from raw data. Therefore, it is recommended to use a sensor fusion algorithm that considers the characteristics of sensors to improve the situational awareness accuracy of existing ship systems.

Implementation of Improved Ship Positioning Algorithm using Sextant (섹스탄트를 이용한 개선된 선박 측위 알고리즘의 구현)

  • Shin, Heui-han;Yim, Jae-hong
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.21 no.6
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    • pp.1243-1251
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    • 2017
  • When a Ship sails in the ocean, it is significant to find one's position for safe navigation. Most of ships have been using GPS navigation since its development after 1990's. The celestial navigation was used as the navigation method when sailing in the ocean, but time-consuming process such as complicated calculation and plotting the result on chart diminished its utilization. The thesis explains convenience and utilization of existing celestial navigation by resolving challenges it has. As a way of enhancing the celestial navigation, the author developed a software which incudes a numerical formula based on the previous calculation process. When a navigator inputs the altitude of sun, GHA and dec into computer while sailing, the position of the ship will be displayed as the coordinates. The improved method thus reaffirmed the usefulness of the celestial navigation and will greatly serve as means of navigation in the occurrence of distress. Abstract should be placed here.