• 제목/요약/키워드: Probability and Statistics

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소프트웨어와 하드웨어 전공자들의 확률 및 통계 교과목 인식에 관한 실증적 고찰 (An empirical study on the perception of probability and statistics: With focus on S/W and H/W majors)

  • 이승우
    • Journal of the Korean Data and Information Science Society
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    • 제22권4호
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    • pp.651-660
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    • 2011
  • 본 연구에서는 향후 S/W와 H/W 분야에서 확률 및 통계 교과목의 교수와 학습을 향상시키기 위한 목적으로, 첫째 S/W와 H/W 전공자들의 확률 및 통계 교과목의 필요성 인식과 교과목 구성내용 등에 관한 정보를 설문조사를 통해 파악하였다. 둘째 이 분야의 전공교과목인 패턴인식에 확률/통계 및 자료분석을 연계하여 교수-학습함으로서 학업성취도 향상과 관련된 교육적 효과를 분석하였다. 또한 본 연구에서는 설문조사와 교육사례를 실시하고 통계적으로 분석하여 바람직한 확률 및 통계 교육의 한 방법을 제시하였으며, 이 분야의 신기술 습득과 다양한 주제에 대한 융통성 있는 접근 능력을 함양하기 위해서 확률 및 통계의 필요성을 제시하였다.

Surplus Process Perturbed by Diffusion and Subject to Two Types of Claim

  • Choi, Seung Kyoung;Won, Hojeong;Lee, Eui Yong
    • Communications for Statistical Applications and Methods
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    • 제22권1호
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    • pp.95-103
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    • 2015
  • We introduce a surplus process which follows a diffusion process with positive drift and is subject to two types of claim. We assume that type I claim occurs more frequently, however, its size is stochastically smaller than type II claim. We obtain the ruin probability that the level of the surplus becomes negative, and then, decompose the ruin probability into three parts, two ruin probabilities caused by each type of claim and the probability that the level of the surplus becomes negative naturally due to the diffusion process. Finally, we illustrate a numerical example, when the sizes of both types of claim are exponentially distributed, to compare the impacts of two types of claim on the ruin probability of the surplus along with that of the diffusion process.

Computer Program Development for Probability Distribution

  • Choi, Hyun-Seok;Song, Gyu-Moon
    • Journal of the Korean Data and Information Science Society
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    • 제16권3호
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    • pp.581-589
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    • 2005
  • The purpose of this thesis is to develop and introduce Add-in program which we can systematically, visually and dynamically study discrete probability distribution of binomial distribution, poisson distribution and hypergeometric distribution, and continuous probability distribution of normal distribution, exponential distribution, and the definition and characteristics of t distribution, F distribution and ${\chi}^2$ distribution to be driven from normal distribution, and graphs, the computation process of probability by using VBA which is the device of Excel.

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하드웨어 전공자들의 확률 및 통계 관련 학업성취도 제고에 관한 연구 (A study on the improvement of academic achievement of probability and statistics in the hardware curriculum)

  • 이승우
    • Journal of the Korean Data and Information Science Society
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    • 제27권4호
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    • pp.887-898
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    • 2016
  • 본 연구에서는 H/W 전공자들의 확률 및 통계 학습능력 증대를 위한 목적으로, 첫째, H/W 전공교과과정에서 개설된 프로그래밍관련 교과목과 멀티미디어 신호처리 교과목에 확률 및 통계를 연계한 교수법을 개발하여 교수-학습함으로써, 연구대상 학생들의 학업성취도 향상에 효과가 있는가를 검증하고 회귀분석을 활용하여 그 교육효과를 분석하고자 했다. 둘째, H/W 전공교과과정에서 설문조사와 확률 및 통계 연계 교육사례를 실시하고 통계적으로 분석하여 향후 확률 및 통계 학습능력을 함양하기 위한 효율적 교수-학습 운영방안에 관하여 제안하고자 했다. 마지막으로, 확률 및 통계는 H/W 분야와 연계함으로써 새로운 기술개발 및 지속적인 경쟁역량 강화를 유지해 나가는 필수교과임을 제시하고자 했다.

Noninformative priors for Pareto distribution

  • Kim, Dal-Ho;Kang, Sang-Gil;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • 제20권6호
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    • pp.1213-1223
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    • 2009
  • In this paper, we develop noninformative priors for two parameter Pareto distribution. Specially, we derive Jereys' prior, probability matching prior and reference prior for the parameter of interest. In our case, the probability matching prior is only a first order matching prior and there does not exist a second order matching prior. Some simulation reveals that the matching prior performs better to achieve the coverage probability. A real example is also considered.

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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.

A Compound Poisson Risk Model with a Two-Step Premium Rule

  • Song, Mi Jung;Lee, Jiyeon
    • Communications for Statistical Applications and Methods
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    • 제20권5호
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    • pp.377-385
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    • 2013
  • We consider a compound Poisson risk model in which the premium rate changes when the surplus exceeds a threshold. The explicit form of the ruin probability for the risk model is obtained by deriving and using the overflow probability of the workload process in the corresponding M/G/1 queueing model.

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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