• 제목/요약/키워드: Law of Large numbers

검색결과 158건 처리시간 0.024초

고등학교 수학 I "통계"에 대한 고찰 (Critical Review of Statistics Chapter in High School Mathematics I)

  • 허명회
    • 응용통계연구
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    • 제20권1호
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    • pp.159-165
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    • 2007
  • 제7차 교육과정 고등학교 수학 I의 통계 단원을 논리의 정 합성 측면에서 살펴보았다. 검토 결과 큰 수의 법칙에서 신뢰구간에 이르기까지 수리적 연결이 곳곳에서 끊어져 있어, 고교 수학 수업에 무리가 있는 것으로 보인다. 개선 방안으로, 1) 몇 가지 요목에 대한 고교 수준에서 교수 가능한 논거를 제시하고 2) 교수 요목의 변경 또는 축소를 제안한다.

Constraints on Cosmological Models from the Large-Scale Velocity Field

  • Doh, Jean-Gyung;Park, Changbom-;Chun, Mun-Suk
    • 한국우주과학회:학술대회논문집(한국우주과학회보)
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    • 한국우주과학회 1992년도 한국우주과학회보 제2권1호
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    • pp.16-16
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    • 1993
  • The Cosmic Mach number M is the ratio of the bulk flow velocity of the galaxrvelocity field on some scale R to the unall scale velocity dispersion within refcions of scale R. Because M is the ratio of two velocities, it is inn-dimansionat and the Here, independent of the amplitude of the power specHim and of the biasplnmeter in the linear theory. We have measured the Mach rnlmber for two observational samples: a spiral galaxy sample(AHM) of Aaronson and hiscoBlaborators with absolute distances measured by the infrared Ttillr-Fisher relatioa and an elliptical galaxy sample(EGALS) of Faber or 0, with distances determined by the relation. The effective depths distances of galaxies from the Local Group of these samples are 1639 km/s and 2862 e/s, respectivelr. The Machnumbers from these observed peculiar velocity Selds He fund as M=0.95 for AHMand M=0.59 for EGALS. We comPBre these calculated Mach numbers with thosefrom meck surweys drawn fuom three cosnulogical medels: the stand8rd biased nh=0.5 CDM modet an open CDM rrudel with gh=0.2, and a medd with thepower-law power specelm P(k)-k-1 and n=1. The Mach rnlmber test can give robust constraints on these cosmelogical nudels whose power spectra have very different shapes at large scales.

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철도터널 화재 유동에 사용되는 FDS code의 적용성 분석 (The Applicability Analysis of FDS code for Fire-Driven Flow Simulation in Railway Tunnel)

  • 장용준;박원희
    • 한국철도학회논문집
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    • 제10권2호
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    • pp.224-230
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    • 2007
  • The performance and applicability of FDS code is analyzed for flow simulation in railway tunnel. FDS has been built in NIST(USA) for simulation of fire-driven flow. RANS and DNS's results are compared with FDS's. AJL non-linear ${\kappa}-{\epsilon}$[7,8] model is employed to calculate the turbulent flow for RANS. DNS data by Moser et al.[9] are used to prove the FDS's applicability in the near wall region. Parallel plate is used for simplified model of railway tunnel. Geometrical variables are non-dimensionalized by the height (H) of parallel plate. The length of streamwise direction is 50H and the length of spanwise direction is 5H. Selected Re numbers are 10,667 for turbulent flow and 133 for laminar low. The characteristics of turbulent boundary layer are introduced. AJL model's predictions of turbulent boundary layer are well agreed with DNS data. However, the near wall turbulent boundary layer is not well resolved by FDS code. Slip conditions are imposed on the wall but wall functions based on log-law are not employed by FDS. The heavily dense grid distribution in the near wall region is necessary to get correct flow behavior in this region for FDS.

수학원리와 특성 진단을 기반으로 한 공개키 RSA 알고리즘의 현장 적용 프로세스 (A Study of Field Application Process of Public Key Algorithm RSA Based on Mathematical Principles and Characteristics through a Diagnostic)

  • 노시춘;송은지;문송철
    • 서비스연구
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    • 제5권2호
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    • pp.71-81
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    • 2015
  • RSA 공개키 암호화 알고리즘에서는 소수, 키 생성, 소인수분해, 오일러 함수, 키 셋업, 합동식과 법, 지수 처리가 응용된다. 이와같은 알고리즘의 토대는 수학원리이다. 수학원리 중에서 첫 번째 개념은 소수를 구하여 응용하는 방법에서 출발한다. 두 개의 매우 큰 소수의 곱을 구하는 것은 용이 하지만 그 곱에서 원래의 두 개의 소수를 역 추적하는 것은 매우 어렵다는 원리를 이용한다. p와 q를 매우 큰 소수라 하면 이 두 개의 곱 $n=p{\times}q$를 구하는 것은 쉽지만 역으로, 합성수인 n에서 p와 q를 추적하는 방법은 거의 불가능하다. RSA 암호화 알고리즘에서는 수학적으로 역함수 계산이 어려운 일방향 함수를 구현하기 위해 자리수가 많은 양의 정수의 소인수 분해 문제를 사용하고 있다. 역 방향으로의 계산을 어렵게 하기 위해 mod의 개념을 소인수 분해 문제에 더해서 사용한다. 암호화에 대한 관심분야는 대개 알고리즘 구현과 사용에 집중되고 있지만 막상 암호 알고리즘을 처음 도입하는 경우에는 어떤 프로세스를 거쳐야 현장 업무에 적용되는지를 알 수 없다. 본 연구는 공개키 알고리즘 속성 진단을 기반으로 한 현장 업무 암호화 적용 프로세스 방안을 제시한다.

On the Hàjek-Rènyi-Type Inequality for Conditionally Associated Random Variables

  • Choi, Jeong-Yeol;Seo, Hye-Young;Baek, Jong-Il
    • Communications for Statistical Applications and Methods
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    • 제18권6호
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    • pp.799-808
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    • 2011
  • Let {${\Omega}$, $\mathcal{F}$, P} be a probability space and {$X_n{\mid}n{\geq}1$} be a sequence of random variables defined on it. A finite sequence of random variables {$X_i{\mid}1{\leq}i{\leq}n$} is a conditional associated given $\mathcal{F}$ if for any coordinate-wise nondecreasing functions f and g defined on $R^n$, $Cov^{\mathcal{F}}$ (f($X_1$, ${\ldots}$, $X_n$), g($X_1$, ${\ldots}$, $X_n$)) ${\geq}$ 0 a.s. whenever the conditional covariance exists. We obtain the H$\grave{a}$jek-R$\grave{e}$nyi-type inequality for conditional associated random variables. In addition, we establish the strong law of large numbers, the three series theorem, integrability of supremum, and a strong growth rate for $\mathcal{F}$-associated random variables.

일반 점프크기를 가지는 상관 확률보행의 파론도 효과 (Parrondo effect in correlated random walks with general jumps)

  • 이지연
    • Journal of the Korean Data and Information Science Society
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    • 제27권5호
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    • pp.1241-1251
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    • 2016
  • 일정한 시간 간격으로 임의의 점프크기가 계속 누적되는 이산시간 확률보행을 고려한다. 각 시점에서의 점프크기가 이전 시점의 점프크기에 종속되어 결정되는 상관 확률보행과 각 시점에서의 점프크기가 이전 시점의 점프크기와 무관하게 독립적으로 결정되는 무상관 확률보행의 점근적 평균을 각각 계산한다. 그리고 상관 확률보행과 무상관 확률보행을 임의적으로 혼합하여 결합하거나 또는 일정한 패턴에 따라 주기적으로 반복하여 결합하는 혼합 확률보행의 점근적 평균 식을 유도한다. 각 확률보행의 점근적 평균은 0으로 공정한 게임을 나타내지만 두 확률보행을 결합한 혼합 확률보행의 점근적 평균은 음수가 되어 지는 게임이 되거나 또는 양수가 되어 이기는 게임이 되는 파론도 역설 현상이 나타남을 확인하고 해당되는 각 모수의 범위를 찾는다.

비율(보합) 급제하에서 어업(자원)관리에 관한 연구 - 대형기선저인망어업을 중심으로 - (A Study on Fisheries Resource Management Under the Rate Payment System - In Case of Large Trawl Fisheries -)

  • 박성쾌
    • 수산경영론집
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    • 제36권3호
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    • pp.1-24
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    • 2005
  • Korean fishery wage system has been evolved with the different titles. However, Since the law of fishing crew was enacted in 1984, the fishery wage system has been established as a rate system, which is a legal term. The present rate system in practice shows various contents and modalities, depending on fisheries and regions, but the fisheries of large trawl cooperative employ a rate system of fixed plus rate wage. However, such change did not transform basically the properties of pure rate scheme. As well known, fishing vessel owners face an awful lot of difficulty in managing and controlling effectively the production process because fishing activities are carried out in the seas remote from the land. Thus, it tend to be inevitable for vessel owners to employ a rate system to induce fishermen's positive motivation for promoting productivity and saving operating costs. However, the rate system has worked out as a driving force, which induce an increase in production more strongly under the expansion of vessel numbers and power and the keener competition of fishing activities. Even though the control mechanism of fishing instruments are well established, fishermen become naturally to have an incentive to increase their fishing effort for maximizing production since they are able to raise their shares by maximizing the quantity harvested. Thus, as far as the rate system exists, fisheries administration may have much difficulty in realizing its fishery management goals only through vessel reduction and fishing gear regulations. Also, under the rate system fishery management authority may be in face of a serious dilemma between the spontaneous rate system and vessel reduction policy. If the realistic aspect of the rate system is recognized and resource restoration and profit promotion are main policy goals, it is necessary to develop effective ways to control vessel owners' and fishermen's production-maximizing motives at an appropriate level. From this point of view, it seems reasonable to introduce TAC system by species or by fisheries into the existing fishery system. The research results suggest that if the fisheries administration could understand clearly the spontaneous fisheries wage system, it would know the norm of TAC and the basic reasons for illegal fishing activities and thus it would be able to develop and implement more realistic resource management policies.

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지적재산의 취득과 실시에 관한 경쟁정책 : 기술혁신 시장 이론

  • 권용수
    • 기술경영경제학회:학술대회논문집
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    • 기술경영경제학회 1996년도 제10회 동계학술발표회 논문집
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    • pp.196-238
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    • 1996
  • Because global innovation-based competition is increasing and the amount of R&D expenditures becomes severely large, it is more likely that mergers and collaborative ventures tend to affect adversely to R&D competition Against this trend, enforcing agency of advanced countries including U.S.A are reassessing certain aspects of competition policy toward mergers and acquisition to ensure that procompetitive, efficiency-enhancing transactions are permitted. The role of competition policy is developing and appropriating new technology and protects the risks involved in the licensing contract of technologies. The role of intellectual property rights is also contrived to promote technological innovation and to increase consumer welfare. That is to say, dynamic efficiency of intellectual property rights includes (l) increase in social welfare and (2) promotion of growth by improvement of quality through invention and commercialization of new product as well as enhanced productive efficiency thorough appropriating new process. Because intellectual property rights are licensed to make use of complementary inputs, the rule of reason approach seems proper when applying antitrust law. To analyze the "Antitrust Guidelines for the Licensing and Acquisition of Intellectual Property"by DOJ and FTC in U.S.A, the author surveyed pros and cons on innovation market approach. This approach will only be used in a narrow range of situations when the evidence is solid, concentration numbers are extremely high, and the agencies can predict with a high degree of certainty that the merger will likely lead either to a slowing in the pace of innovation or the loss of an alternative research track that is likely to lead to a product beneficial to consumers. The author introduces the studies on licensing contract of intellectual property rights and competition polices on behalf of potential inquirers. Also the author invites the interdisciplinary researchers to analyze further with a model on the aspects of the "Notice 1995-10 for Types and Criteria on Unfair Transaction Behavior in International Contracts" by Fair Trade Committee of Korea.

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남아선호사상에 기반한 출생 성비에 관한 확률론적 고찰 (A probabilistic study of the sex ratio at birth related to son preference)

  • 김윤수;최은선;차경준
    • 한국수학사학회지
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    • 제21권4호
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    • pp.79-86
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    • 2008
  • 우리나라의 출생 성비는 자연 상태에서의 출생 성비(natural sex ratio at birth)로 추정되는 105를 초과하고 있는데, 그 원인 중 하나로 남아선호사상으로 인한 인위적인 출산이 있다(e.g. 임신중절 등). 본 연구에서는 임신 중절 없이 남아를 낳을 때까지만 출산을 하려는 가정(family)들의 존재가 출생 성비를 높이는 데에 기여하는지를 알아보기 위하여, 이러한 가정들과 출생 성비(sex ratio at birth)의 관계를 분석하였다. 그 결과, 남아 한 명을 낳을 때까지만 출산을 하려는 가정의 수가 무한으로 발산할수록 출생 성비는 자연 상태에서의 출생 성비에 확률적으로 수렴하는 것을 알 수 있었다. 즉, 남아를 낳을 때까지만 출산을 하려는 가정들의 존재는 출생 성비에 영향을 미치지 않음을 확인하였다.

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