• 응용통계연구
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• 제24권1호
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• pp.25-34
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• 2011

패널자료를 이용하여 부모집단(subpopulation) 총계를 추정할 경우 추이확률(transition probability)을 사용할 수 있다. 패널조사는 같은 표본을 계속 조사하기 때문에 한번 정해진 표본크기는 자료분석에 중대한 영향을 미친다. 본 논문에서는 장애인고용패널조사에서 추이확률을 이용한 부모집단 총계 추정사례를 살펴보고, 부모집단 총계 추정에 표본크기가 얼마나 영향을 미치는지 살펴보았다.

• Communications for Statistical Applications and Methods
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• 제27권6호
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• pp.675-688
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• 2020

In survival analysis of observational data, the inverse probability weighting method and the Cox proportional hazards model are widely used when estimating the causal effects of multiple-valued treatment. In this paper, the two kinds of weights have been examined in the inverse probability weighting method. We explain the reason why the stabilized weight is more appropriate when an inverse probability weighting method using the generalized propensity score is applied. We also emphasize that a marginal hazard ratio and the conditional hazard ratio should be distinguished when defining the hazard ratio as a treatment effect under the Cox proportional hazards model. A simulation study based on real data is conducted to provide concrete numerical evidence.

• 응용통계연구
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• 제18권2호
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• pp.453-469
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• 2005

우리나라 초${\cdot}$중${\cdot}$고등학교 확률 및 통계영역 교육은 1997년 교육 인적 자원부 고시로 제 7차 수학과 교육과정이 개정되어 현재 초${\cdot}$중${\cdot}$고등학교 현장에서 시행되고 있다. 교과서 전수 조사를 통하여 제 7차 수학과 교육과정에 따른 실용수학 및 수학 I 확률 및 통계단원을 분석하였고 제 6차 수학과 교육과정과 비교, 검토하였다.

• Communications for Statistical Applications and Methods
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• 제18권5호
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• pp.559-570
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• 2011

1650년대에 파스칼과 페르마가 주고 받은 편지에서 시작된 확률 연구가 하위헌스, 베르누이, 라플라스 등의 연구로 이어지는 과정에서 당시의 법률적인 사고가 어떤 역할을 하였는지 살펴보았다. 이 연구에서 살펴 본 바에 따르면 초기 확률 연구에서 '기댓값'과 '확률'이라는 새로운 용어와 개념이 생기는 데에는 '공정한 거래', '확실성의 정도'와 같은 법률적인 사고가 큰 역할을 하였던 한편, 19세기 이후 센서스를 비롯한 통계조사가 활발해지면서 거꾸로 통계가 사회적, 법률적 사고방식에 영향을 미치기도 하였다.

• 한국수학사학회지
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• 제31권5호
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• pp.251-269
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• 2018

Empirical probability and classical probability, which are two interpretations of Kolmogorov's axiom, are two ways to recognize the chances of events occurring in the real world. In this paper, I analyzed and suggested the contents of the high school textbooks ${\ll}$Probability and Statistics${\gg}$, associated with two interpretations of probability and experiments on which two interpretations are based. By presenting the cases required expressly stating what the experiment is for supporting students' understanding of some concepts, it was discussed that stating or not stating what the experiment is should be carefully determined by the educational intent. Especially, I suggested that in the textbooks we contrast the good idea of calculating the ratios of two possibilities in the imaginary world of the classical probability with the normal idea of grasping the chances of events through the frequencies in the real world of the empirical probability, with distinguishing the experiments in two interpretations of probability. I also suggested that in the textbooks we make it clear that the Weak Law of Large Numbers justifies our expectations of the frequencies' reflecting the chances of events occurring in the real world under ideal conditions. Teaching and learning about the aesthetic elements and the practicality of imaginary mathematical thinking supported by these textbooks statements could be one form of Humanities education in mathematics as STEAM education.

• Korean Journal of Mathematics
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• 제11권1호
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• pp.35-43
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• 2003

We study the weak convergence to Fractional Brownian motion and some examples with applications to traffic modeling. Finally, we get loss probability for queue-length distribution related to self-similar process.

• 충청수학회지
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• 제27권3호
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• pp.347-361
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• 2014

Generalized Pareto distribution play an important role in reliability, extreme value theory, and other branches of applied probability and statistics. This family of distribution includes exponential distribution, Pareto or Lomax distribution. In this paper, we established exact expressions and recurrence relations satised by the quotient moments of generalized order statistics for a generalized Pareto distribution. Further the results for quotient moments of order statistics and records are deduced from the relations obtained and a theorem for characterizing this distribution is presented.

• 대한수학교육학회지:학교수학
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• 제4권4호
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• pp.677-688
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• 2002

The context and intuitive understanding is very important in Statistics Education. Especially, there is a need to mitigate student's difficulty in studying probability density function. One of teaching method this concept is to using relative frequency histogram. But, as using this method, we should know several problems included in that. This study investigate problems in the method for teaching probability density function as gradual meaning of histogram. Also, as alternative approach, this thesis introduce the density curve concept. The application of four methods to teach the concept of the probability density function and analysis of the survey result is done in this research.

• Communications for Statistical Applications and Methods
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• 제20권2호
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• pp.157-168
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• 2013

This paper deals with the history of one of the well-known and historically important problems in probability, "Gambler's ruin". This problem was first solved by Pascal and Fermat and published by Huygens in 1657. It was studied and extended by many probabilists in early years and thus, it became an important problem in probability history, introducing many new concepts. We would like to introduce the problem in detail to readers and share the ideas on how new problems are developed, relating to old problems.

• Communications for Statistical Applications and Methods
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• 제6권3호
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• pp.919-928
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• 1999

We shall propose the MME MLE and UMVUE for the mean parameter and the right-tail probability in a power function distribution and obtain the mean squared errors for the proposed estimators. And we shall compare numerically efficiencies of the MME MLE and UMVUE of the mean parameter and the right-tail probability in a power function distribution.