• 제목/요약/키워드: $\partial$-estimate

검색결과 305건 처리시간 0.027초

Monotone Local Linear Quasi-Likelihood Response Curve Estimates

  • Park, Dong-Ryeon
    • Communications for Statistical Applications and Methods
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    • 제13권2호
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    • pp.273-283
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    • 2006
  • In bioassay, the response curve is usually assumed monotone increasing, but its exact form is unknown, so it is very difficult to select the proper functional form for the parametric model. Therefore, we should probably use the nonparametric regression model rather than the parametric model unless we have at least the partial information about the true response curve. However, it is well known that the nonparametric regression estimate is not necessarily monotone. Therefore the monotonizing transformation technique is of course required. In this paper, we compare the finite sample properties of the monotone transformation methods which can be applied to the local linear quasi-likelihood response curve estimate.

결점나무 분석에서 실험적 방법을 이용한 불확실성 중요도 측도의 평가 (Evaluation of Uncertainty Importance Measure by Experimental Method in Fault Tree Analysis)

  • 조재균
    • 한국산업정보학회논문지
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    • 제14권5호
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    • pp.187-195
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    • 2009
  • 결점나무 분석에서 불확실설 중요도 측도는 basic event 확률 ($q_i$)의 불확실성이 top event 확률 (Q)의 불확실성에 얼마나 많이 기여하는지를 나타내는 측도로서, top event 확률의 불확실성을 감소시키기 위하여 어떤 basic event 확률의 불확실성을 감소시키는 것이 효과적인지를 밝히는데 사용된다. $q_i$의 분산 $\upsilon_i$가 백분율 단위로 한 단위 변화될 때 Q의 분산 V의 변화량을 평가하는 측도가 불확실성 중요도 측도로서 많은 저자들에 의해 제안되었으며, 이 측도를 계산하기 위해서는 V와 ${\partial}V/{\partial}{\upsilon}_i$를 해석적인 방법이나 몬테칼로 시뮬레이션을 사용하여 계산해야 한다. 그러나 대규모 결점나무에 대해서 V와 ${\partial}V/{\partial}{\upsilon}_i$를 해석적인 방법으로 계산하는 것은 매우 복잡하며, 몬테칼로 시뮬레이션을 사용하여 V와 ${\partial}V/{\partial}{\upsilon}_i$의 안정적인 추정치를 얻는 것은 매우 어렵다. 본 연구에서는 불확실성 중요도 측도를 실험적인 방법을 이용하여 평가하기 위한 방법을 제안한다. 제안된 방법은 몬테칼로 시뮬레이션을 이용하는 방법에 비해 계산량이 매우 적으며, 불확실성 중요도의 안정적 인 추정치를 제공한다.

Partial safety factors for retaining walls and slopes: A reliability based approach

  • GuhaRay, Anasua;Baidya, Dilip Kumar
    • Geomechanics and Engineering
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    • 제6권2호
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    • pp.99-115
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    • 2014
  • Uncertainties in design variables and design equations have a significant impact on the safety of geotechnical structures like retaining walls and slopes. This paper presents a possible framework for obtaining the partial safety factors based on reliability approach for different random variables affecting the stability of a reinforced concrete cantilever retaining wall and a slope under static loading conditions. Reliability analysis is carried out by Mean First Order Second Moment Method, Point Estimate Method, Monte Carlo Simulation and Response Surface Methodology. A target reliability index ${\beta}$ = 3 is set and partial safety factors for each random variable are calculated based on different coefficient of variations of the random variables. The study shows that although deterministic analysis reveals a safety factor greater than 1.5 which is considered to be safe in conventional approach, reliability analysis indicates quite high failure probability due to variation of soil properties. The results also reveal that a higher factor of safety is required for internal friction angle ${\varphi}$, while almost negligible values of safety factors are required for soil unit weight ${\gamma}$ in case of cantilever retaining wall and soil unit weight ${\gamma}$ and cohesion c in case of slope. Importance of partial safety factors is shown by analyzing two simple geotechnical structures. However, it can be applied for any complex system to achieve economization.

효율적인 계획생성을 위한 그래프 기반의 혼합 휴리스틱 (Graph-based Mixed Heuristics for Effective Planning)

  • 박병준;김완태;김현식
    • 디지털산업정보학회논문지
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    • 제17권3호
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    • pp.27-37
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    • 2021
  • Highly informative heuristics in AI planning can help to a more efficient search a solutions. However, in general, to obtain informative heuristics from planning problem specifications requires a lot of computational effort. To address this problem, we propose a Partial Planning Graph(PPG) and Mixed Heuristics for solving planning problems more efficiently. The PPG is an improved graph to be applied to can find a partial heuristic value for each goal condition from the relaxed planning graph which is a means to get heuristics to solve planning problems. Mixed Heuristics using PPG requires size of each graph is relatively small and less computational effort as a partial plan generated for each goal condition compared to the existing planning graph. Mixed Heuristics using PPG can find partial interactions for each goal conditions in an effective way, then consider them in order to estimate the goal state heuristics. Therefore Mixed Heuristics can not only find interactions for each goal conditions more less computational effort, but also have high accuracy of heuristics than the existing max and additive heuristics. In this paper, we present the PPG and the algorithm for computing Mixed Heuristics, and then explain analysis to accuracy and the efficiency of the Mixed Heuristics.

홍수 빈도 예측을 위한 통계학적 모형 (The Statistical Model for Predicting Flood Frequency)

  • 노재식;이길춘
    • 물과 미래
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    • 제25권2호
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    • pp.89-97
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    • 1992
  • 본 연구는 한강유역내 수위표지점 중에서 댐에 의한 인위적 유량 조작을 받지 않는 자연하천유역에서의 지점들을 대상으로 홍수빈도예측을 위한 통계학적 모형의 적용성을 비교 검토하였고 그 결과 적용 가능한 것으로 입증하였다. 또한 홍수빈도모형에 의한 홍수추정량으로 부터모형의 통계학적 효용성을 검토한 결과, 단 기간 기록년수의 자료에서 유용한 부분기간치계열 방법에 의한 POT모형이 연최대치계열 방법에 의한 ANNMAX형보다 효과적임이 판명되었다.

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Model Reference Adaptive Control of a Time-Varying Parabolic System

  • Hong, Keum-Shik;Yang, Kyung-Jinn;Kang, Dong-Hunn
    • Journal of Mechanical Science and Technology
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    • 제14권2호
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    • pp.168-176
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    • 2000
  • Related to the error dynamics of an adaptive system, averaging theorems are developed for coupled differential equations which consist of ordinary differential equations and a parabolic partial differential equation. The results are then applied to the convergence analysis of the parameter estimate errors in the model reference adaptive control of a nonautonomous parabolic partial differential equation with lowly time-varying parameters.

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부분방전에 의한 주계전기의 절연성능 평가 (Insulation Performance Estimation of Main Relays by Partial Discharges)

  • 길경석;김일권;박대원;송재용;이강원;조은제
    • 한국철도학회논문집
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    • 제10권4호
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    • pp.388-392
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    • 2007
  • A new dielectric test on main relays of electric traction vehicles, the partial discharge(PD) test, is proposed. The PD test will not affect the insulation performance of specimen during the test and provide much more detailed information on insulation, the types of defects, and so on. Insulation performance of relays is estimated by discharge inception voltage(DIV), discharge extinction voltage (DEV), and apparent charge as a function of test voltage and time. Three main relays of different manufacturing date were estimated by applying AC voltage with three patterns in ranges of $0{\sim}1,200[V]$. From the results, we could estimate insulation state and which types of defects exist in them.

MLE for Incomplete Contingency Tables with Lagrangian Multiplier

  • Kang, Shin-Soo
    • Journal of the Korean Data and Information Science Society
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    • 제17권3호
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    • pp.919-925
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    • 2006
  • Maximum likelihood estimate(MLE) is obtained from the partial log-likelihood function for the cell probabilities of two way incomplete contingency tables proposed by Chen and Fienberg(1974). The partial log-likelihood function is modified by adding lagrangian multiplier that constraints can be incorporated with. Variances of MLE estimators of population proportions are derived from the matrix of second derivatives of the loglikelihood with respect to cell probabilities. Simulation results, when data are missing at random, reveal that Complete-case(CC) analysis produces biased estimates of joint probabilities under MAR and less efficient than either MLE or MI. MLE and MI provides consistent results under either the MAR situation. MLE provides more efficient estimates of population proportions than either multiple imputation(MI) based on data augmentation or complete case analysis. The standard errors of MLE from the proposed method using lagrangian multiplier are valid and have less variation than the standard errors from MI and CC.

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침 전극에 의한 초고압 케이블 절연재료의 부분방전 특성 (Partial Discharge Characteristics of Ultra-High Voltage Cable Insulators by Needle Electrode)

  • 김균식;최범규;변두균;조경순;김귀열;이충호;홍진웅
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2004년도 하계학술대회 논문집 Vol.5 No.1
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    • pp.477-480
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    • 2004
  • In other to estimate an electrical properties of the cross linked polyethylene cable, the partial discharge properties due to charge of electrode shape(needle and bar) and void size were investigated at room temperature. Fast trip and breakdown time were appeared by the closed of needle electrode. The trip and breakdown voltage depend on insulator thickness. As the result, confirmed larger effect of void size than effect of insulator thickness. The effect of voids size than influence of insulation thickness was dominated by internal an electrode of inner insulators.

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SYSTEMATIC APPROXIMATION OF THREE DIMENSIONAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN FLUID MECHANICS

  • KHAN, FIRDOUS;GHADLE, KIRTIWANT P.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제23권3호
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    • pp.253-266
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    • 2019
  • In this article, a systematic solution based on the sequence of expansion method is planned to solve the time-fractional diffusion equation, time-fractional telegraphic equation and time-fractional wave equation in three dimensions using a current and valid approximate method, namely the ADM, VIM, and the NIM subject to the estimate initial condition. By using these three methods it is likely to find the exact solutions or a nearby approximate solution of fractional partial differential equations. The exactness, efficiency, and convergence of the method are demonstrated through the three numerical examples.