• Title/Summary/Keyword: Statistical Analysis Method

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Statistical Modeling of Joint Distribution Functions for Reliability Analysis (신뢰성 해석을 위한 결합분포함수의 통계모델링)

  • Noh, Yoojeong;Lee, Sangjin
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.5
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    • pp.2603-2609
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    • 2014
  • Reliability analysis of mechanical systems requires statistical modeling of input random variables such as distribution function types and statistical parameters that affect the performance of the mechanical systems. Some random variables are correlated, but considered as independent variables or wrong assumptions on input random variables have been used. In this paper, joint distributions were modeled using copulas and Bayesian method from limited number of data. To verify the proposed method, statistical simulation tests were carried out for various number of samples and correlation coefficients. As a result, the Bayesian method selected the most probable copula types among candidate copulas even though the candidate copula shapes are similar for low correlations or the number of data is limited. The most probable copulas also yielded similar reliabilities with the true reliability obtained from a true copula, so that it can be concluded that the Bayesian method provides accurate statistical modeling for the reliability analysis.

STATISTICAL ANALYSIS OF AN AUTOCALIBRATION METHOD FOR QUADRATURE RECEIVERS

  • Soonman Kwon;Kim, Seogjoo;Lee, Jongmoo
    • Proceedings of the IEEK Conference
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    • 2000.07a
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    • pp.517-520
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    • 2000
  • This paper deals with the statistical analysis of an autocalibration procedure for the gain and phase imbalances between the in-phase (I) and quadrature (Q) components in quadrature receivers. In real implementation, the imbalances of the gain and phase exist and degrade the performance of the receiver. In this paper we investigate the statistical characteristic of the estimates in an on-line imbalance estimation method for the receiver under the assumption of an additive white Gaussian noise environment.

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Review on the Application of Statistical Methods to Maritime Traffic Safety Assessment

  • Gong, In-Young
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.1
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    • pp.35-40
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    • 2006
  • For the maritime traffic safety assessment of vessels navigating in harbor or fairway, simulation techniques by using shiphandling simulator system have been traditionally used. When designing the simulation experiments and when analyzing the simulation results, however, there has been a little systematic method. Ship-handling simulations can be regarded as a kind of statistical experiment by using ship-handling simulator system, which means that shiphandling simulation conditions should be designed statistically and that the simulation results should be statistically analyzed as well. For the safe and economic design of harbor and fairway, reasonable decisions based upon the scientific analysis of shiphandling simulation results are indispensable. In this paper, various statistical methods, such as Bayes theorem, statistical hypothesis testing, and probability distributions, are reviewed with a view to application to maritime traffic safety assessment. It is expected that more reasonable decisions on harbor and fairway design can be made from shiphandlers' view point by using statistical methods.

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Local Influence Assessment of the Misclassification Probability in Multiple Discriminant Analysis

  • Jung, Kang-Mo
    • Journal of the Korean Statistical Society
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    • v.27 no.4
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    • pp.471-483
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    • 1998
  • The influence of observations on the misclassification probability in multiple discriminant analysis under the equal covariance assumption is investigated by the local influence method. Under an appropriate perturbation we can get information about influential observations and outliers by studying the curvatures and the associated direction vectors of the perturbation-formed surface of the misclassification probability. We show that the influence function method gives essentially the same information as the direction vector of the maximum slope. An illustrative example is given for the effectiveness of the local influence method.

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Rainstorm Tracking Using Statistical Analysis Method (통계적 기법을 이용한 국지성집중호우의 이동경로 분석)

  • Kim Sooyoung;Nam Woo-Sung;Heo Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.194-198
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    • 2005
  • Although the rainstorm causes local damage on large scale, it is difficult to predict the movement of the rainstorm exactly. In order to reduce the rainstorm damage of the rainstorm, it is necessary to analyze the path of the rainstorm using various statistical methods. In addition, efficient time interval of rainfall observation for the analysis of the rainstorm movement can be derived by applying various statistical methods to rainfall data. In this study, the rainstorm tracking using statistical method is performed for various types of rainfall data. For the tracking of the rainstorm, the methods of temporal distribution, inclined Plane equations, and cross correlation were applied for various types of data including electromagnetic rainfall gauge data and AWS data. The speed and direction of each method were compared with those of real rainfall movement. In addition, the effective time interval of rainfall observation for the analysis of the rainstorm movement was also investigated for the selected time intervals 10, 20, 30, 40, 50, and 60 minutes. As a result, the absolute relative errors of the method of inclined plane equations are smaller than those of other methods in case of electromagnetic rainfall gauges data. The absolute relative errors of the method of cross correlation are smaller than those of other methods in case of AWS data. The absolute relative errors of 30 minutes or less than 30 minutes are smaller than those of other time intervals.

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Exploratory Data Analysis for microarray experiments with replicates

  • Lee, Eun-Kyung;Yi, Sung-Gon;Park, Tae-Sung
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.11a
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    • pp.37-41
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    • 2005
  • Exploratory data analysis(EDA) is the initial stage of data analysis and provides a useful overview about the whole microarray experiment. If the experiments are replicated, the analyst should check the quality and reliability of microarray data within same experimental condition before the deeper statistical analysis. We shows EDA method focusing on the quality and reproducibility for replicates.

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On the Bayesian Statistical Inference (베이지안 통계 추론)

  • Lee, Ho-Suk
    • Proceedings of the Korean Information Science Society Conference
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    • 2007.06c
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    • pp.263-266
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    • 2007
  • This paper discusses the Bayesian statistical inference. This paper discusses the Bayesian inference, MCMC (Markov Chain Monte Carlo) integration, MCMC method, Metropolis-Hastings algorithm, Gibbs sampling, Maximum likelihood estimation, Expectation Maximization algorithm, missing data processing, and BMA (Bayesian Model Averaging). The Bayesian statistical inference is used to process a large amount of data in the areas of biology, medicine, bioengineering, science and engineering, and general data analysis and processing, and provides the important method to draw the optimal inference result. Lastly, this paper discusses the method of principal component analysis. The PCA method is also used for data analysis and inference.

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Statistical Analysis of Ion Components in Rainwater (濕性大氣成分에 對한 統計的解析)

  • 李敏熙;韓義正;元良洙;辛燦基
    • Journal of Korean Society for Atmospheric Environment
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    • v.2 no.1
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    • pp.41-54
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    • 1986
  • Methods used for averaging PH's of rainwater and site representation have been studied, Statistical analysis was attempted regarding effects of ionic components on PH's utilizing 847 data altogether obtained in two years, 1984 and 1985. The outcome of the study may be assumarized as follows: 1. Methods for Averaging PH Volume weighted method is considered to be acceptable providing that precipitation is measured at the same time when the samples are taken. Without precipitation data a simple averaging method should be the next choice. 2. Site Representation A statistical method used for optimizing a monitoring newtork was applied using the data collected. Because of a limited number of data, no discernible conclusion can be reached suggesting that the method can serve as a good guide when the data base becomes more reliable. 3. A good correlation appears to exist betwen conductivities and ionic components in rainwater. It would, therefore, be possible to certain extend to estimate ionic concentrations from conductivity measurements by correlation equations. 4. The acidity of rainwater is effected by $SO_4^{2-}, NO_3^-, Cl^- and NH_4^+ with SO_4^{2-}$ being the most significant as demonstrated by standardized regression analysis.

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A Automatic Document Summarization Method based on Principal Component Analysis

  • Kim, Min-Soo;Lee, Chang-Beom;Baek, Jang-Sun;Lee, Guee-Sang;Park, Hyuk-Ro
    • Communications for Statistical Applications and Methods
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    • v.9 no.2
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    • pp.491-503
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    • 2002
  • In this paper, we propose a automatic document summarization method based on Principal Component Analysis(PCA) which is one of the multivariate statistical methods. After extracting thematic words using PCA, we select the statements containing the respective extracted thematic words, and make the document summary with them. Experimental results using newspaper articles show that the proposed method is superior to the method using either word frequency or information retrieval thesaurus.

A Comparative Study of Microarray Data with Survival Times Based on Several Missing Mechanism

  • Kim Jee-Yun;Hwang Jin-Soo;Kim Seong-Sun
    • Communications for Statistical Applications and Methods
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    • v.13 no.1
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    • pp.101-111
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    • 2006
  • One of the most widely used method of handling missingness in microarray data is the kNN(k Nearest Neighborhood) method. Recently Li and Gui (2004) suggested, so called PCR(Partial Cox Regression) method which deals with censored survival times and microarray data efficiently via kNN imputation method. In this article, we try to show that the way to treat missingness eventually affects the further statistical analysis.