• Journal of applied mathematics & informatics
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• 제35권3_4호
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• pp.241-260
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• 2017

An analysis is made to study the solute transport in a Casson fluid flow through an annulus in presence of oscillatory flow field and determine how this flow influence the solute dispersion along the annular region. Axial dispersion coefficient and the mean concentration expressions are calculated using the generalized dispersion model. Dispersion coefficient in oscillatory flow is found to be a function of frequency parameter, Schmidt number, and the pressure fluctuation component besides its dependency on yield stress of the fluid, annular gap and time in the case of steady flow. Due to the oscillatory nature of the flow, the dispersion coefficient changes cyclically and the amplitude and magnitude of the dispersion increases initially with time and reaches a non - transient state after a certain critical time. This critical value varies with frequency parameter and independent of the other parameters. It is found that the presence of inner cylinder and increase in the size of the inner cylinder inhibits the dispersion process. This model may be used in understanding the dispersion phenomenon in cardiovascular flows and in particular in catheterized arteries.

• 한국산학기술학회논문지
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• 제15권9호
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• pp.5585-5593
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• 2014

본 연구는 기대 교통사고건수 추정을 위해 사용되는 SPF의 이질적 분산계수의 유의성이 이질적 사전분포에 직접적인 영향을 받는다는 가설을 검증하고, 이질적 사전분포에 대한 모형 오설정이 교통 안전개선 사업의 평가결과에 주는 영향의 특성을 분석하기 위해 수행되었다. 구체적으로 본 연구에서는 이질적 분산계수의 유의성과 이질적 사전분포의 연관성을 검증하기 위해 모의실험을 통해 이질적 사전분포를 발생시킨 후 이를 NB모형과 HNB모형을 이용하여 SPF를 추정하여 이질적 과분산계수가 SPF의 평균함수 및 분산함수에 주는 영향을 분석하였다. 또한 추정된 계수추정치를 이용한 사전분포의 초모수 추정치의 오차특성과 이질적 과분산계수를 고려하지 않았을 경우 발생하는 교통사고감소계수(CRF)의 오차 부호와 크기를 상세 분석하여 제시하였다. 모의실험 자료 분석결과 이질적 분산계수의 오추정은 포아송 사전분포의 평균에는 큰 영향을 주지 않으나 분산의 크기를 변화시켜 궁극적으로는 기대교통사고건수의 추정량인 사후평균의 값에 오차를 발생시킬 수 있으며, 구체적으로 이질적 분산함수를 NB모형으로 오설정할 경우 CRF의 값은 참값에 비해 최대 120%의 오차를 발생시키는 것으로 나타났다.

• 한국수자원학회논문집
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• 제54권11호
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• pp.863-873
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• 2021

다공성 매질에서 오염물 이동에 지배적인 기작인 역학적 분산은 공극 내 유속 차이에 의해서 발생한다. 종분산계수와 종분산지수는 이송확산 모형의 수리분산 매개변수이며, 실험을 통하여 얻어야만 한다. 수리평균반경은 공극 내 물의 흐름 양의 크기와 강도를 표현할 수 있으며, 매질의 물리적 특성인자를 이용하여 계산할 수 있다. 본 연구는 순간주입 추적자실험을 통하여 자갈 다공성매질에서 수리평균반경을 이용하여 종분산지수를 구할 수 있는 거듭제곱형의 경험식을 도출하였다. 경험식은 스케일상수 계산식이 포함되어 있어 이동거리에 따른 종분산지수의 산정이 가능하며, 소규모 유량의 균질한 자갈로 구성된 수로에 적용이 가능할 것으로 기대된다.

• Journal of the Korean Statistical Society
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• 제21권2호
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• pp.187-200
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• 1992

Samples are often found to be too heterogeneous to be explained by a one-parameter family of models in the sense that the implicit mean-variance relationship in such a family is violated by the data. This phenomenon is often called over-dispersion. The most frequently used method in dealing with over-dispersion is to mix a one-parameter family creating a two parameter marginal mixture family for the data. In this paper, we investigate performance of estimators such as maximum likelihood estimator, method of moment estimator, and maximum quasi-likelihood estimator in negative binomial and beta-binomial distribution. Simulations are done for various mean parameter and dispersion parameter in both distributions, and we conclude that the moment estimators are very superior in the sense of bias and asymptotic relative efficiency.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2002년도 학술대회지
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• pp.803-806
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• 2002

The dispersion of Lagrangian fluid particles in a turbulent channel flow is studied by a direct numerical simulation. Four points Hermite interpolation in the homogeneous direction and Chebyshev polynomials in the inhomogeneous direction is adopted by assesing the acceleration of fluid particles. In order to characterize the inhomogeneous Lagrangian statistics, accurate single particle Lagrangian statistics are obtained along the wall normal direction. Integral time scales of Lagrangian velocity can be normalized by Eulerian mean shear stresses.

• 대기
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• 제25권4호
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• pp.659-667
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• 2015

In this study, sensitivity of inflow wind speed and turbulent Schmidt number to pollutant dispersion in an urban street canyon is investigated, by comparing CFD-simulated results to wind-tunnel results. For this, we changed systematically inflow wind speed at the street-canyon height ($1.5{\sim}10.0m\;s^{-1}$ with the increment of $0.5m\;s^{-1}$) and turbulent Schmidt number (0.2~1.3 with interval of 0.1). Also, we performed numerical experiments under the conditions that turbulent Schmidt numbers selected with the magnitude of mean kinetic energy at each grid point were assigned in the street canyon. With the increase of the inflow wind speed, the model underestimated (overestimated) pollutant concentration in the upwind (downwind) side of the street canyon because of the increase of pollutant advection. This implies that, for more realistic reproduction of pollutant dispersion in urban street canyons, large (small) turbulent Schmidt number should be assigned for week (strong) inflow condition. In the cases of selectively assigned turbulent Schmidt number, mean bias remarkably decreased (maximum 60%) compared to the cases of constant turbulent Schmidt number assigned. At week (strong) inflow wind speed, root mean square error decreases as the area where turbulent Schmidt number is selectively assigned becomes large (small).

• Journal of the Korean Statistical Society
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• 제28권2호
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• pp.225-234
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• 1999

We consider the following semi-parametric non-linear mixed effect regression model : y\ulcorner=f($\chi$\ulcorner;$\beta$)+$\sigma$$\mu$($\chi$\ulcorner)+$\sigma$$\varepsilon$\ulcorner,i=1,…,n,y*=f($\chi$;$\beta$)+$\sigma$$\mu$($\chi$) where y'=(y\ulcorner,…,y\ulcorner) is a vector of n observations, y* is an unobserved new random variable of interest, f($\chi$;$\beta$) represents fixed effect of known functional form containing unknown parameter vector $\beta$\ulcorner=($\beta$$_1$,…,$\beta$\ulcorner), $\mu$($\chi$) is a random function of mean zero and the known covariance function r(.,.), $\varepsilon$'=($\varepsilon$$_1$,…,$\varepsilon$\ulcorner) is the set of uncorrelated measurement errors with zero mean and unit variance and $\sigma$ is an unknown dispersion(scale) parameter. On the basis of finite-sample, small-dispersion asymptotic framework, we derive an absolute lower bound for the asymptotic mean squared errors of prediction(AMSEP) of the regular-consistent non-linear predictors of the new random variable of interest y*. Then we construct an optimal predictor of y* which attains the lower bound irrespective of types of distributions of random effect $\mu$(.) and measurement errors $\varepsilon$.

• Industrial Engineering and Management Systems
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• 제12권2호
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• pp.112-117
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• 2013

The $\overline{x}$ control chart for the process mean and either the R or s control chart for the process dispersion have been used together to monitor the manufacturing processes. However, it has been pointed out that this procedure is flawed by a fault that makes it difficult to capture the behavior of process condition visually by considering the relationship between the shift in the process mean and the change in the process dispersion because the respective characteristics are monitored by an individual control chart in parallel. Then, the ($\overline{x}$, s) control chart has been proposed to enable the process managers to monitor the changes in the process mean, process dispersion, or both. On the one hand, identifying which process parameters are responsible for out-of-control condition of process is one of the important issues in the process management. It is especially important in the ($\overline{x}$, s) control chart where some parameters are monitored at a single plane. The previous literature has proposed the multiple decision method based on the statistical hypothesis tests to identify the parameters responsible for out-of-control condition. In this paper, we propose how to identify parameters responsible for out-of-control condition using the information criterion. Then, the effectiveness of proposed method is shown through some numerical experiments.

• 한국통신학회논문지
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• 제32권10A호
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• pp.958-964
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• 2007

이 논문은 maximum a posteriori (MAP) 비트 검출(bit detection)의 비트 오류 확률 (bit error probability: BEP)과 비트 최소 평균 제곱 오류(bit minimum mean square error: bit MMSE)사이의 관계를 유도한다. BEP는 bit MMSE의 1/4 보다 크고 1/2보다 작음을 유도한다. 이 결론을 이용하면 bit-linear linear-dispersion (BLLD) 부호를 적용한 다중 입출력 (multiple-input multiple-output: MIMO) 통신 시스템에서 가우시안 채널의 mutual information의 미분 값의 하한과 상한을 BEP로부터 얻을 수 있고 나아가서 mutual information의 하한과 상한을 구할 수 있다.

• 한국태양에너지학회:학술대회논문집
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• 한국태양에너지학회 2009년도 추계학술발표대회 논문집
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• pp.342-349
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• 2009

The purpose of this study is to estimate efficiently an odor dispersion from waste treatment facility for a crematory and a neighborhood facility, then propose planning, a location of an opening or the arrangement of the trees. Hence, offer a comfortable environment for a resident. For this, first the research data about estimating odor dispersion from waste treatment facility and odor are analyzed, then research an ingredient, characteristic, a direct effect for human and a method of measurement. Second, with on-site survey, check odorimetry and the source of odor dispersion, then apply this to the boundary condition of CFD simulation. Third, analyse by the hour for the 2008 standard weather data of Cheon-an, then apply summer data that odor dispersion is active, winter data relatively slow and an annual mean velocity and wind to the simulation. Even if a crematory and neighborhood facility located on south and north from waste treatment facility are at the low rate, the south and north wind will be applied to the simulation. Fourth, with CFD simulation result, predict an odor dispersion, then propose a solution which is considered an odor dispersion, a location of an opening and the arrangement of the trees. Consequently, this study will have an effect on an environment of a resident.