• 한국수학사학회지
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• 제13권1호
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• pp.1-14
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• 2000

The first part of this thesis discusses the Pearson's Curve Family which gives $\beta$distribution, $\Gamma$-distribution, $X^2$-distribution and t-distribution. The second part of this thesis gives some brief process of calculations for normal distribution density and t-distribution density by the 7-th type Curve of Pearson's Curve Family. Finally, a conclusion arrives that Student(Gosset) could not find out his famous 'Student's t-distribution' without his attending of 'Pearson's Differential Equation' class taught by Pearson himself when he was a senior student. However, if he had got a professorship at the Pearson Statistics Laboratory, the University of London, then he could not have found 'Student's t-distribution' for small sampling technique of modern statistics.

• Journal of the Korean Data and Information Science Society
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• 제26권2호
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• pp.525-533
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• 2015

Modern production process is a very complex structure combined observations which are correlated with several factors. When the error signal occurs in the process, it is very difficult to know the root causes of an out-of-control signal because of insufficient information. However, if we know the time of the change, the system can be controlled more easily. To know it, we derive a maximum likelihood estimator (MLE) of the change point in a process when observations are from a multivariate IMA(1,1) process by monitoring residual vectors of the model. In this paper, numerical results show that the MLE of change point is effective in detecting changes in a process.

• 천문학회보
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• 제43권2호
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• pp.36.3-37
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• 2018

By utilizing large-scale graph analytic tools in the modern Big Data platform, Apache Spark, we investigate the topological structures of five different multiverses produced by cosmological n-body simulations with various cosmological initial conditions: (1) one standard universe, (2) two different dark energy states, and (3) two different dark matter densities. For the Big Data calculations, we use a custom build of stand-alone Spark cluster at KIAS and Dataproc Compute Engine in Google Cloud Platform with the sample sizes ranging from 7 millions to 200 millions. Among many graph statistics, we find that three simple graph measurements, denoted by (1) $n_\k$, (2) $\tau_\Delta$, and (3) $n_{S\ge5}$, can efficiently discern different topology in discrete point distributions. We denote this set of three graph diagnostics by kT5+. These kT5+ statistics provide a quick look of various orders of n-points correlation functions in a computationally cheap way: (1) $n = 2$ by $n_k$, (2) $n = 3$ by $\tau_\Delta$, and (3) $n \ge 5$ by $n_{S\ge5}$.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제17권3호
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• pp.754-774
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• 2023

Wrestling is one of the popular events for modern sports. It is difficult to quantitatively describe a wrestling game between athletes. And deep learning can help wrestling training by human recognition techniques. Based on the characteristics of latest wrestling competition rules and human recognition technologies, a set of wrestling competition video analysis and retrieval system is proposed. This system uses a combination of literature method, observation method, interview method and mathematical statistics to conduct statistics, analysis, research and discussion on the application of technology. Combined the system application in targeted movement technology. A deep learning-based facial recognition psychological feature analysis method for the training and competition of classical wrestling after the implementation of the new rules is proposed. The experimental results of this paper showed that the proportion of natural emotions of male and female wrestlers was about 50%, indicating that the wrestler's mentality was relatively stable before the intense physical confrontation, and the test of the system also proved the stability of the system.

• Journal of the Korean Data and Information Science Society
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• 제7권1호
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• pp.105-112
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• 1996

Softwares including random number generation are abundant in modern informative society. But it's hard to get directly multivariate multinomial random numbers from existing softwares. Multivariate multinomial random numbers are greatly used in social and medical sciences. In this paper, we show that desired multivariate multinomial random numbers can be easily generated by the aids of existing random number generating software. Some characteristics of multivariate multinomial distribution are surveyd. Measures of association for the generated random numbers were computed and compared with population ones via simulation study.

• 한국신뢰성학회지:신뢰성응용연구
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• 제10권3호
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• pp.161-169
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• 2010

Automobiles have become part of our lives in modern society. But since they can be detrimental once problems occur on the road safety requirements are stringent. In this paper DFSS procedure is applied to the establishment of headliner safety. Specifically, IDDOV is employed where problems are identified, areas for development clarified, optimization realized, and finally optimal conditions verified at the final stage.

• Journal of the Korean Statistical Society
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• 제4권1호
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• pp.39-56
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• 1975

Ever since Gauss discussed the least-squares method in 1812 and Bertrand translated Gauss's work in French, the least-squares method has been used for various economic analysis. The justification of the least-squares method was given by Markov in 1912 in connection with the previous discussion by Gauss and Bertrand. The main argument concerned the problem of obtaining the best linear unbiased estimates. In some modern language, the argument can be explained as follow.

• 응용통계연구
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• 제21권5호
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• pp.801-811
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• 2008

확산모형은 금융현상을 모형화하기 위한 방법으로 자주 사용된다. 특히 최근에 제안된 다양한 확산모형들은 정교한 추론방법을 필요로 하게 되고, 이러한 필요성에 따라 정밀도가 높은 여러 가지 추론 방법에 대한 연구가 진행되고 있다. 본 논문에서는 확률편미분방정식에 의하여 표현되는 확산과정의 추론을 위하여 사용되는 여러 가지 방법 중 우도추론법에 대하여 살펴보게 된다. 다양한 우도추론법 중에서도, 근사적 우도추론법의 일종인 추세계수 국소선형근사법을 중심으로 그 수리적 성질을 검토한다.

• Journal of the Korean Data and Information Science Society
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• 제24권6호
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• pp.1177-1188
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• 2013

현대 사회는 지식 사회로의 변화가 빠르게 진행되고 있으며, 사회 전반에 걸쳐 성장과 발전을 위한 지식공유의 필요성이 증대되고 있다. 한편 대학에서는 다양한 분야의 지식이 창출되는 반면에 몇몇 문제들에 의해 지식공유가 원활히 이루어지지 않고 있다. 지식공유를 통해 학업성과가 영향을 받는지 확인하기 위하여, 본 연구는 K대학생을 대상으로 정보기술의 활용, 학교의 지원, 소통문화가 지식공유의 매개에 의해서 학업성과에 미치는 효과를 실증분석하였다. 설문조사를 통해 요인간의 상호관련성과 영향의 정도를 확인한 결과, 정보기술의 활용, 학교의 지원, 소통문화는 지식공유의 매개에 의해서 학업성과에 영향을 미친다고 할 수 있으며 직접적으로도 학업성과에 영향을 미친다고 할 수 있는 것으로 나타났다.

• 응용통계연구
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• 제30권5호
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• pp.759-774
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• 2017

2016년 9월 경주 지진 이후 원자력발전소, 고층 빌딩, 주택, 교량 등 우리 사회의 설비 자산들이 과연 지진으로부터 얼마나 안전한가, 앞으로 안정성을 담보하기 위해 어떤 정책을 펼쳐야 하는가에 대한 관심이 높아졌다. 본 논문에서는 한반도에서 발생한 역사지진 및 계기지진 목록을 데이터로 사용하여, 멱법칙 분포를 통해 한반도 지진 기록의 크기 분포를 설명하는 모수를 추정한다. 또한 추정한 모수를 바탕으로 미래에 한반도에서 일정 규모 이상의 지진이 발생할 확률을 계산한다. 한반도 미래 지진 발생 확률 계산 모형을 통해 지진 위험도를 파악하고자 하는 것이 본 논문의 목적이다.