• 한국초등수학교육학회지
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• 제1권1호
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• pp.53-65
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• 1997

가능성의 종류를 부족하게 책정하기도 하고, 특정 가능성에 너무 크거나 작은 가치를 부여하기도 하고, 앞서 고려했던 바와 관련짓지 못하기도 하고. 불충분한 논의 끝에 곧바로 다음 상황에 적용하기도 하는 등, 우리가 가능성에 관한 판단을 할 때 범하는 실수는 너무나 많다. 확률ㆍ통계의 역사로 걸어 들어가면 이와 같이 특정한 상황에서의 가능성에 대하여 우리가 범하는 것과 본질적으로 같은 오류를 많은 과학자, 수학자가 범하고 있음을 확인할 수 있다. 본 고에서는 가능성에 관한 판단의 오류를 수정하기 위하여 노력하는 과정에서 바로 확률ㆍ통계의 이론화가 이루어졌다고 보고, 그 이론화 과정을 중심으로 확률과 통계의 역사적 배경을 살펴보고자 한다.

• Communications for Statistical Applications and Methods
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• 제8권1호
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• pp.257-269
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• 2001

The simulation is used to estimate an overflow probability in a stable parallel network with coupled inputs. Since the general simulation needs extremely many trials to obtain such a small probability, the fast simulation is proposed to reduce trials instead. By using the Cramer’s theorem, we first obtain an optimally changed measure under which the variance of the estimator is minimized. Then, we use it to derive an importance sampling estimator of the overflow probability which enables us to perform the fast simulation.

• 컴퓨터교육학회논문지
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• 제5권4호
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• pp.111-121
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• 2002

컴퓨터와 네트워크의 급속한 발달로 인터넷 사용자가 급증하면서 모든 분야에서 정보전달 매체로서 웹의 활용이 보편화되고 있다. 교육적인 측면에서도 기존의 교실에서의 수업이나 인쇄매체를 통한 교육의 대체매체로서 웹의 활용에 대한 관심이 증대하고 있다. 본 연구에서는 7차 고등학교 수학과 교육과정에서 독자적인 영역으로 새로 분리된 '확률과 통계' 영역에 대해 웹상에서 활용가능한 교육용 전자교재의 구현사례를 제시한다. 확률의 계산이나 통계치의 계산 등과 같은 수리연산보다는 응용학문으로서의 확률과 통계의 개념과 원리의 이해에 중점을 두어 개발하였다.

• International Journal of Advanced Culture Technology
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• 제9권4호
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• pp.102-109
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• 2021

Since the 4th Industrial Revolution is implemented based on superintelligence, new insights must be provided through convergence studies with other fields to find optimal solutions to create new ideas. In this paper, we intende to present improvement measures for probability and statistical education, which is an athlete's subject on data analysis and processing in the ICT(Information & Communication Technologies) field in the era of superintelligence of the 4th industrial revolution. This paper aims to strengthen competitiveness through early development and commercialization of new technologies by presenting probabilities and statistical curriculums that require linkage in the ICT field. Second, it is necessary to present an educational system diagram linking probabilities and statistics in the ICT field to prepare a mid- to long-term response strategy for ICT education in response to innovative changes. Third, through a survey, we intend to present an effective educational operation plan linking probability and statistics to ICT major subjects by analyzing the perception of probability, statistical importance, and utilization of majors in this field.

• Communications for Statistical Applications and Methods
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• 제10권2호
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• pp.545-552
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• 2003

Let X$_1$, X$_2$, … be real valued random variables under linearly negatively quadrant dependent (LNQD). In this paper, we discuss the probability inequality of ennett(1962) and Hoeffding(1963) under some suitable random variables. These results are to extend Theorem A and B to LNQD random variables. Furthermore, let ζdenote the ｐth quantile of the marginal distribution function of the $Ｘ_i$'s which is estimated by a smooth estima te $ζ_{pn}$, on the basis of X$_1$, X$_2$, …$X_n$. We establish a convergence of $ζ_{pn}$, under Hoeffding-type probability inequality of LNQD.

• Journal of the Korean Data and Information Science Society
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• 제15권3호
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• pp.523-529
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• 2004

In Korea, mathematics education has been changed according to the 7th national mathematics curriculum renovated by the Ministry of Education and Human Resources Development announcement in 1997. The education of probability and Statistics has been carried out as a part of this curriculum. We analyze and compare 3 kinds of mathematics textbooks for 10-12 grade students. Descriptions of random variable, sample variance and sample standard deviation, distribution of sample mean, and etc. which are on some textbooks, are misleaded in school education. We suggest the unbiased estimator of sample variance in textbooks and distributions of sample means with normal population assumption.

• Journal of the Korean Data and Information Science Society
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• 제19권3호
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• pp.845-849
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• 2008

2009 year new execution of appointments for secondary school teachers was announced at 2004 year by Ministry of Education. The new school teacher appointment has been developed and studied in various aspects of appropriate qualification for good school teacher. In the results of the studies by Korea School Mathematics Education Association and pre-exams by Korea Institute for Curriculum and Evaluation, the Probability and Statistics chapters are less revaluated as 7.5-10%, but we argue those more than 15% as along with our recent Korean school texts reviews(Lee, et al., 2005).

• ETRI Journal
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• 제16권2호
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• pp.15-25
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• 1994

In this paper we present a new formula which can predict the exact detection probability of a generalized order statistics (GOS) constant false alarm rate (DFAR) detector for a partially correlated Rayleigh target model (0 < $ \rho$< 1) in a closed form, where $\rho$ is the correlation coefficient between returned pulses. By simply substituting a set of specific coefficient into the derived formula, one can obtain the detection probability of any kind of CFAR detector. Detectors may include the order statistics CFAR detector, the censored mean level detector, and the trimmed mean CFAR detector, but are not necessarily restricted to them. The numerical result for the first order Markov correlation model as applied to some of the detectors shows that as $\rho$ increases from zero to one, higher signal-to-noise ratio is required to achieve the same detection probability.

• 대한수학교육학회지:수학교육학연구
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• 제8권1호
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• pp.73-87
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• 1998

Recently experimental class model is growingly recommended for mathematics instruction. Freudenthal(1973) points out the difficulties of learning probability and Fischebien suggested to teach probability more intuitively through games. However detailed explanations for such classes are not easy to find. This paper is to give more detailed materials for those lessons and to check its effectiveness. We give 6 topics of probability and statistics being taught in our middle school, such as histogram, concept of probability, probability calculations, expectations, standard deviations, and correlations and each of which is given along with the experimental materials to be used. We perform a trial of the methods and found some encouragement in the students' mathematical attitudes and interests but not in the achievements. We belive that the drawback of the achievement result is due to the short length of time of our experiments.

• 한국데이터정보과학회:학술대회논문집
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• 한국데이터정보과학회 2003년도 춘계학술대회
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• pp.27-37
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• 2003

In this paper, we develop noninformative priors for two parameter Pareto distribution. Specially, we derive Jeffrey's prior, probability matching prior and reference prior for the parameter of interest. In our case, the probability matching prior is only a first order and there does not exist a second order matching prior. Some simulation reveals that the matching prior performs better to achieve the coverage probability. And a real example will be given.