• Title/Summary/Keyword: Probability Theory

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Biological Distribution by Water Temperature and Refocus on the Theory of Critical Environmental Variation Quantum (수온환경변화에 따른 생물분포와 어업피해결정을 위한 임계환경변화량이론의 재조명)

  • Kang, Young-Joo;Kim, Ki-Soo
    • The Journal of Fisheries Business Administration
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    • v.45 no.1
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    • pp.1-16
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    • 2014
  • The study attempts to show that the theory of critical environmental variation quantum(CEVQ) has a sound logical basis and empirical support. It is well known that the theory of critical environmental variation quantum is derived from the theory of biological probability distibution function and the central limit theorem(CLT) in statistics. The study uses the case study of fisheries damages compensation caused br the public marine construction undertaken in the area do Anjeong Bay in the city of Tongyeong for empirical test of theory of CEVQ. The results shows that the CEVQ theory perfoms a good job in measuring quantatively fjsheries damages caused by outflow of cold water due to the operation of LNG company since 2002. Therefore the study proves that the CEVQ theory is a good theory having internal consistency and empirical applicability.

The Estimation of Analytical Method for Axial Force-Moment Relationships of High-Strength Concrete Structures using Reliability Theory (신뢰성 이론을 이용한 고강도콘크리트 구조물의 축력-모멘트관계에 있어서의 해석방법에 대한 평가)

  • 최광진;장일영;송재호;홍원기
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.04b
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    • pp.447-454
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    • 1998
  • The main object of the study is that axial force-moment relationships for high strength concrete structures using reliability theory(Linear statstical method, Monte Carlo Simulation) including probability conception. And mean stress factors and centroid factors proposed to high strength concrete structures using reliability theory(Linear statstical method, Monte Carlo Simulation). Finally, The established experimental data for axial force-moment relationships are compared to the analytical data(data for Linear statstical method and Monte Carlo Simulation) for axial force-moment relationships in this analytical method.

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Multiresponse Surfaces Optimization Based on Evidential Reasoning Theory

  • He, Zhen;Zhang, Yuxuan
    • International Journal of Quality Innovation
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    • v.5 no.1
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    • pp.43-51
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    • 2004
  • During process design or process optimization, it is quite common for experimenters to find optimum operating conditions for several responses simultaneously. The traditional multiresponse surfaces optimization methods do not consider the uncertain relationship among these responses sufficiently. For this reason, the authors propose an optimization method based on evidential reasoning theory by Dempster and Shafer. By maximizing the basic probability assignment function, which indicates the degree of belief that certain operating condition is the solution of this multiresponse surfaces optimization problem, the desirable operating condition can be found.

The Analytical Study of Axial Force-Moment Relationships for High Strength Concrete Structures using Reliability Theory (신뢰성이론을 이용한 고강도콘크리트 구조물의 축력-모멘트관계에 관한 해석적인 연구)

  • 최광진;홍원기;장일영;송재호
    • Proceedings of the Korea Concrete Institute Conference
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    • 1997.10a
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    • pp.500-506
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    • 1997
  • The main object of the study is that axial force-moment relationships for high strength concrete structures using reliability theory probability conception. And mean stress factors and centroid factors proposed to high strength concrete structures using reliability theory. Finally, the established experimental data for axial force-moment relationships are compared to the analytical data for the axial force-moment relationships in this analytical method.

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Optimal Operation Scheduling Using Possibility Fuzzy Theory on Cogeneration Systems Connected with Auxiliary Equipment (각종 보조설비가 연계된 열병합발전시스템에서 가능성 퍼지이론을 적용한 최적운전계획수립)

  • Kim, Sung-Il;Jung, Chang-Ho;Lee, Jong-Beon
    • Proceedings of the KIEE Conference
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    • 1995.11a
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    • pp.128-130
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    • 1995
  • This paper presents the optimal operation scheduling on cogeneration systems connected with auxiliary equipment by using the possibility fuzzy theory. The probability fuzzy theory is a method to obtain the possibility of the solution from the fuzzification of coefficients. Simulation is carried out to obtain the boundary of heat production in each time interval. Simulation results shows effectively the flexible operation boundary to establish operation scheduling.

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Selection of Probability Distribution of Pavement Life Based on Reliability Method (신뢰성 개념을 이용한 적정 포장 수명분포 선정)

  • Do, Myung-Sik;Kwon, Soo-Ahn
    • International Journal of Highway Engineering
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    • v.12 no.1
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    • pp.61-69
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    • 2010
  • In this paper, we present the methodology about an optimal probability distribution selection as well as survival rate estimation with the national highway database from 1999 to 2008. Probability paper methods are adopted to estimate the parameters of each hazard model. The goodness-of-fit test, such as the Anderson-Darling statistics, was performed. As a result, we found that Lognormal distributionan is an appropriate distribution of newly constructed sections as well as overlayed sections. We also ascertained that the results of survival rate for pavement life between the proposed method and observed data are similar. Such a selection methodology and measures based on reliability theory can provide useful information for maintenance plans in pavement management systems as long as additional life data on pavement sections are accumulated.

Probabilistic Approach of Stability Analysis for Rock Wedge Failure (확률론적 해석방법을 이용한 쐐기파괴의 안정성 해석)

  • Park, Hyuck-Jin
    • Economic and Environmental Geology
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    • v.33 no.4
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    • pp.295-307
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    • 2000
  • Probabilistic analysis is a powerful method to quantify variability and uncertainty common in engineering geology fields. In rock slope engineering, the uncertainty and variation may be in the form of scatter in orientations and geometries of discontinuities, and also test results. However, in the deterministic analysis, the factor of safety which is used to ensure stability of rock slopes, is based on the fixed representative values for each parameter without a consideration of the scattering in data. For comparison, in the probabilistic analysis, these discontinuity parameters are considered as random variables, and therefore, the reliability and probability theories are utilized to evaluate the possibility of slope failure. Therefore, in the probabilistic analysis, the factor of safety is considered as a random variable and replaced by the probability of failure to measure the level of slope stability. In this study, the stochastic properties of discontinuity parameters are evaluated and the stability of rock slope is analyzed based on the random properties of discontinuity parameters. Then, the results between the deterministic analysis and the probabilistic analysis are compared and the differences between the two analysis methods are explained.

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A Novel Method of Basic Probability Assignment Calculation with Signal Variation Rate (구간변화율을 고려한 기본확률배정함수 결정)

  • Suh, Dong-Hyok;Park, Chan-Bong
    • The Journal of the Korea institute of electronic communication sciences
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    • v.8 no.3
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    • pp.465-470
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    • 2013
  • Dempster-Shafer Evidence Theory is available for multi-sensor data fusion. Basic Probability Assignment is essential for multi-sensor data fusion using Dempster-Shafer Theory. In this paper, we proposed a novel method of BPA calculation with signal assessment. We took notice of the signal that reported from the sensor mote at the time slot. We assessed the variation rate of the reported signal from the terminal. The trend of variation implies significant component of the context. We calculated the variation rate of signal for reveal the relation of the variation and the context. We could reach context inference with BPA that calculated with the variation rate of signal.

Probabilistic Analysis for Rock Slope Stability (확률론적 해석방법을 이용한 암반사면 안정성 해석)

  • Park Hyuck-Jin
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.03b
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    • pp.365-372
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    • 2000
  • 현장상황에 대한 불충분한 자료와 파괴 메커니즘에 대한 불완전한 이해로 인해 발생하는 가변성(variability)과 불확실성(uncertainty)은 암반사면공학뿐만 아니라 지반공학에서 흔히 접하게 되는 문제점이다. 특히 암반사면공학에서는 이러한 가변성과 불확실성이 불연속면의 방향 및 기하학적 특성, 그리고 실내실험 결과의 분산으로 나타난다. 그러나 안전율(factor of safety)의 개념을 기초로 하는 전통적인 결정론적 해석방법(deterministic analysis)은 이러한 분산을 고려하지 않은 채 단일 대표 값만을 이용하여 구조물의 안정성을 판단하여 왔다. 확률론적 해석방법(probabilistic analysis)은 이러한 가변성과 불확실성을 효과적으로 정량화하여 해석에 이용할 수 있는 방법 중의 하나로 제안되었다. 이러한 해석방법은 불연속면의 기하학적 특성과 강도 특성을 확률변수(random variable)로 취급하여 신뢰성이론(reliability theory)과 확률이론(probability theory)을 근거로 분석하였으며 이를 기초로 하여 Monte Carlo Simulation과 같은 해석법을 이용, 구조물의 붕괴가능성을 확률로 표현하였다. 확률론적 해석 방법은 기존의 안전율을 대체하여 구조물의 안정성을 붕괴확률(probability of failure)로 제안하였으며 이 붕괴확률은 안전율의 확률분포함수 (probability density function)에서 안전율이 1보다 작을 가능성을 확률로 나타낸 수치이다. 본 논문에서는 확률론적 해석방법을 이용하여 불연속면 특성들의 확률특성을 고찰하였으며 이를 기초로 하여 암반사면의 안정성 해석에 응용했다.

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A Study on the Statistical Probability Instruction through Computer Simulation (컴퓨터 시뮬레이션을 통한 통계적 확률 지도에 대한 연구)

  • Shin Bo-Mi;Lee Kyung-Hwa
    • Journal of Educational Research in Mathematics
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    • v.16 no.2
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    • pp.139-156
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    • 2006
  • The concept of probability in current school mathematics has been dealt with in the classic viewpoint (mathematical probability) and part of the frequency viewpoint and axiomatic viewpoint have been introduced. However, since the exact understanding of the probability concepts is not possible only with the classic viewpoint, we need to research further on methods to complement classic viewpoint and emphasize various aspects of probability concepts (Lee, Kyung Hwa, 1996). Therefore, this study is to find out optimal computer simulation plans in teaching statistical probability. For the purpose, it examines how the nature of mathematical knowledge may be changed when statistical probability is taught with a use of computer simulation based on the Theory of Didactical Situation presented by Brousseau(1997). Next, it identifies how probability curriculum should be reconstituted for introducing statistical probability through computer simulation. Finally, it develops specific teaching materials that introduce statistical probability using computer simulation based on the results obtained.

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