• Title/Summary/Keyword: 이항

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On the actual coverage probability of binomial parameter (이항모수의 신뢰구간추정량에 대한 실제포함확률에 관한 연구)

  • Kim, Dae-Hak
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.4
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    • pp.737-745
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    • 2010
  • In this paper, various methods for finding confidence intervals for the p of binomial parameter are reviewed. We compare the performance of several confidence interval estimates in terms of actual coverage probability by small sample Monte Carlo simulation.

The Influence of Extreme Value in Binomial Confidence Interval (이항 신뢰구간에서 극단값의 영향)

  • Ryu, Jea-Bok
    • Communications for Statistical Applications and Methods
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    • v.18 no.5
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    • pp.615-623
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    • 2011
  • Several methods are used in interval estimation for binomial proportion; however the coverage probabilities of most confidence intervals depart from the confidence level when the binomial population proportion closes to 0 or 1 due to the extreme value. Vollset (1993), Agresti and Coull (1998), Newcombe (1998), and Brown et al. (2001) suggested methods to adjust the extreme value. This paper discusses the influence of extreme value in a binomial confidence interval through the numerical comparison of 6 confidence intervals.

The Research of the 2-Edge Labeling Methods on Binomial Trees (이항트리에서 2-에지번호매김 방법에 대한 연구)

  • Kim, Yong Seok
    • KIPS Transactions on Computer and Communication Systems
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    • v.4 no.2
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    • pp.37-40
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    • 2015
  • In this paper, we present linear, varied and mixed edge labeling methods using 2-edge labeling on binomial trees. As a result of this paper, we can design the variable topologies to enable optimal broadcasting with binomial tree as spanning tree, if we use these edge labels as the jump sequence of a sort of interconnection networks, circulant graph, with maximum connectivity and high reliability.

The Pedagogical Analysis of the History of Mathematics on Newton's Binomial Theorem (뉴턴의 이항정리에 대한 수학사의 교수법적 고찰)

  • Cho, Cheong-Soo
    • Communications of Mathematical Education
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    • v.23 no.4
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    • pp.1079-1092
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    • 2009
  • The purpose of this study is to investigate Newton's binomial theorem that was on epistemological basis of the emergent background and developmental course of infinite series and power series. Through this investigation, it will be examined how finding the approximate of square root of given numbers, the method of the inverse method of fluxions by Newton, and Gregory and Mercator series were developed in the course of history of mathematics. As the result of this study pedagogical analysis and discussion of the history of mathematics on Newton's binomial theorem will be presented.

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유사이항분포와 유사다항분포의 통계적 성질

  • An, Seong-Jin;Jeong, Yeon-Seon
    • 한국데이터정보과학회:학술대회논문집
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    • 2004.04a
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    • pp.111-119
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    • 2004
  • 유사이항분포와 유사다항분포를 소개하고 베타분포와 Dirichlet 분포와의 관계를 밝힘으로써 심플렉스상에서 정의되는 성분데이터의 분석을 위한 새로운 방법을 제시하는 토대를 마련하고자 한다.

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Comparative Simulation Studies on Generalized Binomial Models (일반화 이항모형의 적합도 평가)

  • Baik, E.J.;Kim, K.Y.
    • Communications for Statistical Applications and Methods
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    • v.18 no.4
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    • pp.507-516
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    • 2011
  • Comparative studies on generalized binomial models (Moon, 2003; Ng, 1989; Paul, 1985; Kupper and Haseman, 1978; Griffiths, 1973) are restrictive in that the models compared are rather limited and MSE of the estimates is the only measure considered for the model adequacy. This paper is aimed to report simulation results which provide possible guidelines for selecting a proper model. We examine Pearson type of goodness-of-fit statistic to its degrees of freedom and AIC for the overall model quality. MSE and Bias of the individual estimates are also considered as the component fit measures. Performance of some models varies widely for a certain range of the parameter space while most of the models are quite competent. Our evaluation shows that the Extended Beta-Binomial model (Prentice, 1986) turns out to be particularly favorable in the point that it provides consistently excellent fit almost all over the values of the intra-class correlation coefficient and the probability of success.

A Study on the Competitiveness of Terminals in Busan and Shanghai Ports using TOPSIS (TOPSIS를 이용한 부산항과 상해항의 터미널 경쟁력에 관한 연구)

  • Kim, A-Rom;Kim, Kwang-Hee
    • Journal of Korea Port Economic Association
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    • v.33 no.2
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    • pp.19-32
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    • 2017
  • This study aims to (1) investigate the main factors for the evaluation of port competitiveness through a literature review; (2) compare each terminal's competitiveness in Busan and Shanghai ports using TOPSIS methodology; (3) determine how to improve Busan port competitiveness. TOPSIS analysis of throughput shows that the terminals in Shanghai (SMCT, SGICT) are competitive. Shanghai is ranked first in both the port physical analysis (SMCT) and the financial one (SSICT). Total competitiveness analysis shows that Shanghai terminals (SSICT, SMCT, and SGICT) are more competitive than the ones in the Busan port. In this analysis, the SSICT ranks the top terminal in port physical and financial categories, while the SMCT ranks the first terminal in terms of throughput. The results of this study provide important policy implications for the Busan port, whose international status as a transshipment port and international logistics hub has lowered, and whose recent growth is slower than that of the competing international ports.

Toegye Lee Hwang's Assessment on Iljae Lee Hang's Study - Focusing on Sung Confucianism (일재(一齋) 이항(李恒)의 학문에 대한 퇴계 이황의 평가 - 성리설을 중심으로 -)

  • Choi, Young-sung
    • The Journal of Korean Philosophical History
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    • no.42
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    • pp.9-37
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    • 2014
  • This article is to review academic aspects of Iljae Lee Hang through Toegye Lee Hwang's comments. Iljae Lee Hang (一齋 李恒: 1499~1576) is a representative Neo-Confucian scholar in Honam area in 16th century. His Sung Confucianism was known to Toegye Lee Hwang by Gobong Gi Dae Seung and consequentially received attention from academic world. Lee Hang's Sung Confucianism, however, has hardly drawn attention since 17th century due to Lee Hwang's negative assessment. Impeaching Lee Hang's academic attitude and methods, Lee Hwang evaluated him as having many problems. Lee Hwang criticized that Lee Hang studied Neo-Confucianism with no great effort and he was so much confident to say 'Logic of the world does not deviate from this' based on Chengzi and Zhuzi's saying which was only appealing to his ideas. Lee Hang actually cited theories of Chengzi and Zhuzi and stressed self-complacency when necessary, which therefore made him fail to exhibit consistency. Iljae partly brought Lee Hwang's criticism upon himself. Lee Hwang's negative assessment is not to be literally accepted but his assessment is helpful indeed to critically examine Lee Hang's Neo-Confucianism.

A Study on Normal Approximation to the Binomial Distribution (이항분포의 정규근사에 대한 고찰)

  • 장대흥
    • The Korean Journal of Applied Statistics
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    • v.12 no.2
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    • pp.671-681
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    • 1999
  • 이항분포의 정규근사는 중심극한정리의 한 예로서 자주 언급되는데 정규근사를 하기 위한 시행회수 n과 성공률 p에 대한 판정기준들이 다수 제시되고 있는 데, 본 논문은 이러한 판정기준들에 대하여 제약조건의 강도와 평균오차한계를 비교, 검토하였다.

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Lee Hang Ro's Mind-Theory and the Western-School - Focused on Byeoksarokbyeon and Yangwha in Ayeon (이항로의 심설과 서학(西學) ­ - 『벽사록변(闢邪錄辨)』·『아언(雅言)』 「양화(洋禍)」를 중심으로 -)

  • Kim, Hyon-woo
    • The Journal of Korean Philosophical History
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    • no.59
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    • pp.65-88
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    • 2018
  • Lee Hang Ro's Mind-theory(心說) is an important theory comparable to it of Gi Jeong Jin, Lee Jin Sang and Jeon Woo. In this paper, I examined the influence of the Western-school(西學) in the process of formation of Lee's theory. Since the Western-school had flowed in the beginning of the 17th century, in the 18th century it was subject to Confucian intellectuals along with social stability. However, listed in the 19th century, along with the turmoil of the East Asian international order, the Western-school was also rejected. The Western-school was a tool to analyze the cause of Western invasion(西勢東漸) in him. Lee saw The Western-school from the standpoint of Christianity mainly. Especially Christianity was recognized as a religion that emphasizes God rather than humans. In contrast, Confucianism was understood as a thought system that emphasizes human moral subjectivity rather than God. In this process mind was expanded to the subjectivity of human. However, Lee only emphasized the traditional Confucianism order and ignored the rationality of the Western-school. He could not accommodate western civilization actively and properly respond to the world order in that time. On the other hand, we are now in the era of a new civilization called the Fourth Industrial Revolution. To this the remarks of Lee's Mind-theory will be an important suggestion point for organizing the new civilization actively.