• 제목/요약/키워드: probability.statistics

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확률과 통계의 역사 (History of Probability and Statistics)

  • 이경화
    • 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.

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The Textbook Analysis on Probability: The Case of Korea, Malaysia and U.S. Textbooks

  • Han, Sun-Young;Rosli, Roslinda;Capraro, Robert M.;Capraro, Mary M.
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제15권2호
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    • pp.127-140
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    • 2011
  • "Statistical literacy" is important to be an effective citizen ([Gal, I. (2005). Towards "probability literacy" for all citizens: Building blocks and instructional dilemmas. In: G. A. Jones (Ed.), Exploring probability in school: Challenges for teaching and learning (pp. 39-63). New York: Springer]). Probability and statistics has been connected with real context and can be used to stimulate students' creative abilities. This study aims at identifying the extent that textbooks in three countries include experimental probability concepts and non-routine, open-ended, application and contextual problems. How well textbooks reflect real application situations is important in the sense that students can employ probability concepts when solving real world problems. Results showed that three textbook series did not mention experimental probability. Furthermore, all of text-books had more routine, close-ended, knowing, and non-contextual problems.

하수에서의 대장균수 확률분포 특성 분석 (Statistics and Probability Distribution of Total Coliforms in Wastewater)

  • 전상민;송인홍;정한석;강문성;박승우
    • 한국농공학회논문집
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    • 제55권3호
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    • pp.105-111
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    • 2013
  • Probability distribution of microbes in wastewater is a crucial factor to be determined for microbial risk assessment associated with its reuse. The objective of this study was to investigate probability distribution of an indicator microorganism in wastewater. Daily total coliform counts measured from nationwide wastewater treatment plants in 2010 by the Ministry of Environment were used for statistical analysis. Basic statistics and probability distributions were estimated in the three different spatial scales using the MS Excel software and FARD2006 model. Overall, wastewater from manure and livestock treatment plants demonstrated greater median coliform counts than from sewage and village treatment plants. Generalized logistic (GLO) and 2-parameter Weibull (WBU2) appeared to be the two probability distributions that fitted best for total coliform numbers in wastewater. The study results of microbial statistics and probability distributions would provide useful data for quantitative assessment of microbial risk from agricultural wastewater reuse.

STOCHASTIC INEQUALITIES IN TWO REPAIRABLE UNITS

  • PARK, TAE-KEUN;PARK, YOUNG-SUNG
    • 호남수학학술지
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    • 제23권1호
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    • pp.145-158
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    • 2001
  • In this paper we investigated a replacement model with two types of repairs. Repairs are classified into minimal and perfect repair. An operating unit is completely replaced whenever it reaches age ${\tau}({\tau}>0)$(planned replacement). If it fails at age $t<{\tau}$, it is either restored by a entire unit with probability p(t)(perfect repair), or it undergoes minimal repair with probability $\bar{p}(t)=1-p(t)$. After a planned replacement, the procedure is repeated.

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On the Probability Inequalities under Linearly Negatively Quadrant Dependent Condition

  • Baek, Jong Il;Choi, In Bong;Lee, Seung Woo
    • 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.

'확률과 통계'교육을 위한 전자교재 개발에 관한 연구 (A Study on Electronic Text Development for Probability and Statistical Education)

  • 최숙희
    • 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.

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A New Formula to Predict the Exact Detection Probability of a Generalized Order Statistics CFAR Detector for a Correlated Rayleigh Target

  • Kim, Chang-Joo
    • 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.

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Education Improvement Plan Related to Data Analysis & Processing in the ICT Field for the Era of Hyperconnectivity & Superintelligence

  • LEE, Seung-Woo;LEE, Sangwon
    • 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.

Critical Views of Qualification Studies and Pre-Exams for 2009 Korea School Math Teacher Appointment-Proportion of Issued Problems of Probability and Statistics

  • Lee, Sang-Bock
    • 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).

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부적합률의 다중검정을 위한 베이지안절차 (Bayesian Procedure for the Multiple Test of Fraction Nonconforming)

  • 김경숙;김희정;나명환;손영숙
    • 품질경영학회지
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    • 제34권1호
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    • pp.73-77
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    • 2006
  • In this paper, the Bayesian procedure for the multiple test of fraction nonconforming, p, is proposed. It is the procedure for checking whether the process is out of control, in control, or under the permissible level for p. The procedure is as follows: first, setting up three types of models, $M_1:p=p_0,\;M_2:pp_0$, second, computing the posterior probability of each model. and then choosing the model with the largest posterior probability as a model most fitted for the observed sample among three competitive models. Finally, the simulation study is performed to examine the proposed method.