• Title/Summary/Keyword: 다변량통계

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A Trimmed Spatial Median Estimator Using Bootstrap Method (붓스트랩을 활용한 최적 절사공간중위수 추정량)

  • Lee, Dong-Hee;Jung, Byoung-Cheol
    • The Korean Journal of Applied Statistics
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    • v.23 no.2
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    • pp.375-382
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    • 2010
  • In this study, we propose a robust estimator of the multivariate location parameter by means of the spatial median based on data trimming which extending trimmed mean in the univariate setup. The trimming quantity of this estimator is determined by the bootstrap method, and its covariance matrix is estimated by using the double bootstrap method. This extends the work of Jhun et al. (1993) to the multivariate case. Monte Carlo study shows that the proposed trimmed spatial median estimator yields better efficiency than a spatial median, while its covariance matrix based on double bootstrap overcomes the under-estimating problem occurred on single bootstrap method.

Hotelling의 T$^{2}$ 통계량을 이용한 cDNA 마이크로어레이 분석

  • Kim, Byeong-Su;Lee, Seon-Ho;Kim, In-Yeong;Kim, Sang-Cheol;Ra, Seon-Yeong;Jeong, Hyeon-Cheol
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.05a
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    • pp.295-297
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    • 2003
  • 본 논의에서는 cDNA 마이크로어레이 분석에서 다변량 분석의 한 방법인 Hotelling의 T제곱 통계량을 이용하여 유의적 유전자군을 검색하고, 이 유전자군을 사용하여 검사자료를 두군으로 분류하는데 단변량 t통계량에 기초한 접근보다 얼마나 효율적인지를 평가하고자 한다.

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Use of Multivariate Statistical Approaches for Decoding Chemical Evolution of Groundwater near Underground Storage Caverns (다변량통계기법을 이용한 지하저장시설 주변의 지하수질 변동에 관한 연구)

  • Lee, Jeonghoon
    • Journal of the Korean earth science society
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    • v.35 no.4
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    • pp.225-236
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    • 2014
  • Multivariate statistical analyses have been extensively applied to hydrochemical measurements to analyze and interpret the data. This study examines anthropogenic factors obtained from applications of correspondence analysis (CA) and principal component analysis (PCA) to a hydrogeochemical data set. The goal was to synthesize the hydrogeochemical information using these multivariate statistical techniques by incorporating hydrogeochemical speciation results calculated by the program, commonly used, WATEQ4F included in the NETPATH. The selected case study was LPG underground storage caverns, which is located in the southeastern Korea. The highly alkaline groundwaters at this study area are an analogue for the repository system. High pH, speciation of Al and possible precipitation of calcite characterize these groundwaters. Available groundwater quality monitoring data were used to confirm these statistical models. The present study focused on understanding the hydrogeochemical attributes and establishing the changes of phase when two anthropogenic effects (i.e., disinfection activity and cement pore water) in the study area have been introduced. Comparisons made between two statistical results presented and the findings of previous investigations highlight the descriptive capabilities of PCA using calculated saturation index and CA as exploratory tools in hydrogeochemical research.

Fault Detection Method for Multivariate Process using ICA (독립성분분석을 이용한 다변량 공정에서의 고장탐지 방법)

  • Jung, Seunghwan;Kim, Minseok;Lee, Hansoo;Kim, Jonggeun;Kim, Sungshin
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.24 no.2
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    • pp.192-197
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    • 2020
  • Multivariate processes, such as large scale power plants or chemical processes are operated in very hazardous environment, which can lead to significant human and material losses if a fault occurs. On-line monitoring technology, therefore, is essential to detect system faults. In this paper, the ICA-based fault detection method is conducted using three different multivariate process data. Fault detection procedure based on ICA is divided into off-line and on-line processes. The off-line process determines a threshold for fault detection by using the obtained dataset when the system is normal. And the on-line process computes statistics of query vectors measured in real-time. The fault is detected by comparing computed statistics and previously defined threshold. For comparison, the PCA-based fault detection method is also implemented in this paper. Experimental results show that the ICA-based fault detection method detects the system faults earlier and better than the PCA-based method.

Performance Analysis of Volatility Models for Estimating Portfolio Value at Risk (포트폴리오 VaR 측정을 위한 변동성 모형의 성과분석)

  • Yeo, Sung Chil;Li, Zhaojing
    • The Korean Journal of Applied Statistics
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    • v.28 no.3
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    • pp.541-559
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    • 2015
  • VaR is now widely used as an important tool to evaluate and manage financial risks. In particular, it is important to select an appropriate volatility model for the rate of return of financial assets. In this study, both univariate and multivariate models are considered to evaluate VaR of the portfolio composed of KOSPI, Hang-Seng, Nikkei indexes, and their performances are compared through back testing techniques. Overall, multivariate models are shown to be more appropriate than univariate models to estimate the portfolio VaR, in particular DCC and ADCC models are shown to be more superior than others.

Multivariate Stratification under Consideration of Outliers (이상점을 고려한 다변량 층화)

  • Park, Jin-Woo;Yun, Seok-Hoon
    • The Korean Journal of Applied Statistics
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    • v.21 no.3
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    • pp.377-385
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    • 2008
  • Most of the sample surveys conducted by several statistics preparation agencies are multipurpose surveys inquiring into several distinguishing items through a single sample. In a multipurpose sample design, the stratification tends to be very complex since the stratification variables which are both multivariate and heterogeneous must be considered collectively. In this paper we point out an outlier effect in a multivariate stratification to which the K-means clustering method is applied and propose to consider outliers prior to the stratification step. We also show an empirical stratification effect under consideration of outliers through a case study of sample design for The Rural Living Indicators.

A Multivariate Analysis of Variance Applied to the Subjective Test of the Sound Quality of the Car Audio (차량 음향 시스템의 음질평가를 위한 다변량 분산분석)

  • Choi, Kyung-Mee;Doo, Se-Jin
    • The Korean Journal of Applied Statistics
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    • v.20 no.3
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    • pp.475-485
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    • 2007
  • In this work we measured and analyzed the subjective opinions of consumers towards the sound quality of car audios through a questionnaire. First of all, we chose eight controllable factors which had been known to affect the quality of reproduced sound. An orthogonal design of experiments was used to imitate the objective sound environments by reproducing the combinations of 8 sound characteristics, each with two levels. Then we defined 8 corresponding response variables to measure the subjective opinions towards the quality of reproduced sound. Finally, we applied the Multivariate Analysis of Valiance to explore the significant sound characteristics which affected the subjective opinions towards the quality of reproduced sound.

Storm Surge Analysis using Archimedean Copulas (Copulas에 기반한 우리나라 동해안 폭풍해일 분석)

  • Hwang, Jeongwoo;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.421-421
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    • 2017
  • In order to secure the safety of coastal areas from the continuous storm surge in Korea, it is important to predict the wave movement and properties accurately during the storm event. To improve the accuracy of the storm simulation, and to quantify coastal risks from the storm event, the dependencies between wave height, wave period, and storm duration should be analyzed. In this study, therefore, copulas were used to develop multivariate statistical models of sea storms. A case study of the east coast of Korea was conducted, and the dependencies between wave height, wave period, water level, storm duration and storm interarrival time were investigated using Kendall's tau correlation coefficient. As a result of the study, only wave height, wave period, and storm duration appeared to be correlated.

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Development of integrated drought index(IDI) using remote sensing data and multivariate model (원격탐사자료와 다변량 통계모형을 활용한 통합가뭄지수 개발)

  • Park, Seo-Yeon;Kim, Jong-Suk;Kim, Tae-Woong;Lee, Joo-Heon
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.359-359
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    • 2020
  • 현재 우리나라의 가뭄감시 정보는 기상학적/농업적/수문학적 가뭄이 별도의 지수로 개발되어 다양한 형태의 정보를 생산·제공되고 있다. 각각의 가뭄 지수들 기준 및 특성에 따라 분석되고 있기 때문에 가뭄전문가의 입장에서는 매우 정밀한 가뭄정보를 제공받는 장점이 있는 반면에, 일반 국민들이 가뭄 정보를 받아들이고 이해하는데 어려움이 있어 이를 한눈에 알아볼 수 있는 통합가뭄지도가 필요하며, 통합가뭄도를 제작하기 위해서는 통합가뭄지수가 개발되어야 한다. 본 연구에서는 원격탐사자료를 활용하여 농업적 가뭄지수인 Agricultural Dry Condition Index (ADCI)와 수문학적 가뭄지수인 Water Budget-based Drought Index (WBDI)를 개발하였으며, 기상학적 가뭄지수인 Standardized Precipitation Index (SPI)를 포함하여 기상-농업-수문학적 가뭄지수를 결합한 통합가뭄지수를 산정하였다. 다양한 가뭄지수를 활용하여 개발되었기 때문에 다변량 통계 모형 중 선형 모형인 Principal Component Analysis (PCA)기법과 비선형 모형인 Kernel Entropy PCA, Kernel PCA를 적용하였다. 또한 과거 가뭄사상을 활용하여 산정된 통합가뭄지수 검증을 위해 과거 가뭄사상에 대한 가뭄 발생시기, 심도, 쇠퇴패턴이 양상 평가 및 Intentionally Biased Bootstrap Resampling (IBBR)을 활용한 지수별 민감도 분석을 통해 통합가뭄지수 적용성 평가를 진행하였다.

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The study of the Gifted Students Education about Doing Mathematical Task with the Face Plot (얼굴그림(Face Plot)을 활용한 수학영재교육의 사례연구)

  • Kim, Yunghwan
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.369-385
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    • 2017
  • This study is to figure out the activity and disposition of gifted students with face plot in exploratory data analysis at middle school mathematics class. This study has begun on the basis of the doing mathematics at multivariate analysis beyond one variable and two variables. Gifted students were developed the good learning habits theirselves. According to this result, Many gifted students have an interesting experience at data analysis with Face Plot. And they felt the useful methods of creative thinking about graphics with doing mathematics at mathematical tasks. I think that teachers need to learn the visualization methods and to make and to develop the STEAM education tasks connected real life. It should be effective enough to change their attitudes toward teaching and learning at exploratory data analysis.

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