• Title/Summary/Keyword: Distribution ratio

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Moment of the ratio and approximate MLEs of parameters in a bivariate Pareto distribution

  • Kim, Jungdae
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.6
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    • pp.1213-1222
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    • 2012
  • We shall derive the moment of the ratio Y/(X + Y) and the reliability P(X < Y ), and then observe the skewness of the ratio in a bivariate Pareto density function of (X, Y). And we shall consider an approximate MLE of parameters in the bivariate Pareto density function.

Tests For and Against a Positive Dependence Restriction in Two-Way Ordered Contingency Tables

  • Oh, Myongsik
    • Journal of the Korean Statistical Society
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    • v.27 no.2
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    • pp.205-220
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    • 1998
  • Dependence concepts for ordered two-way contingency tables have been of considerable interest. We consider a dependence concept which is less restrictive than likelihood ratio dependence and more restrictive than regression dependence. Maximum likelihood estimation of cell probability under this dependence restriction is studied. The likelihood ratio statistics for and against this dependence are proposed and their large sample distributions are derived. A real data is analyzed to illustrate the estimation and testing procedures.

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Observational Study of Thermal Characteristics by Distribution Ratio of Green Area at Urban in Summer Season (하절기 관측을 통한 도시의 지역별 공간녹지분포율에 따른 열환경 특성 연구)

  • Jung, Im-Soo;Choi, Dong-Ho;Lee, Bu-Yong
    • Journal of the Korean Solar Energy Society
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    • v.31 no.3
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    • pp.8-16
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    • 2011
  • The objective of this study is to analyze the characteristic of thermal environment in the summer season by conducting the field observation of temperature, relative humidity, and globe temperature in some parts of the city. Observation point was divided to a densely populated area, a residential area, a green area, a waterfront green area and a suburban district by the distribution ratio of green area. In this study, the correlation between maximum temperature and globe temperature, study on index for intensity of the tropical night and the temperature distribution characteristic of measurement points by the distribution ratio of green area were analyzed. The results of this study are as follows. (1) The difference between temperature and globe temperature by the distribution ratio of green area is confirmed. The difference of nighttime is more clearly that of daytime. (2) The average temperature and globe temperature of the densely populated area($29.2^{\circ}C$, $33.7^{\circ}C$) are higher than that of the waterfront green area($27.9^{\circ}C$, $32.0^{\circ}C$) by $1.3^{\circ}C$ and $1.7^{\circ}C$, respectively. (3) The number of tropical nights has different days of tropical nights by the distribution ratio of green area of 17days for the Daegu weather station, 14days for adensely populated area, 14days for a residential area, 6days for a green area, 2days for a waterfront green area, and 2days for a suburban district. (4) The results of the slope of trend line for the effects of the temperature on globe temperature change and the intercept for the size of the impact of radiant energy gained around by the analysis of the correlation between the maximum temperature and globe temperature can be utilized objective evaluation index of the each point's artificial effects.

Strut-Tie Models and Load Distribution Ratios for Reinforced Concrete Beams with Shear Span-to-Effective Depth Ratio of Less than 3 (I) Models and Load Distribution Ratios (전단경간비가 3 이하인 철근콘크리트 보의 스트럿-타이 모델 및 하중분배율(I) 모델 및 하중분배율)

  • Chae, Hyun-Soo;Yun, Young Mook
    • Journal of the Korea Concrete Institute
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    • v.28 no.3
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    • pp.257-265
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    • 2016
  • The failure behavior of reinforced concrete beams is governed by the mechanical relationships between the shear span-to-effective depth ratio, flexural reinforcement ratio, load and support conditions, and material properties. In this study, two simple indeterminate strut-tie models which can reflect all characteristics of the failure behavior of reinforced concrete beams were proposed. The proposed models are effective for the beams with shear span-to-effective depth ratio of less than 3. For each model, a load distribution ratio, defined as the fraction of load transferred by a truss mechanism, is also proposed to help structural designers perform the rational design of the beams by using the strut-tie model approaches of current design codes. In the determination of the load distribution ratios, the effect of the primary design variables including shear span-to-effective depth ratio, flexural reinforcement ratio, and compressive strength of concrete was reflected through numerous material nonlinear analysis of the proposed indeterminate strut-tie models. In the companion paper, the validity of the proposed models and load distribution ratios was examined by applying them to the evaluation of the failure strength of 335 reinforced concrete beams tested to failure by others.

Indeterminate Strut-Tie Model and Load Distribution Ratio of Continuous RC Deep Beams (II) Validity Evaluation (연속지지 RC 깊은 보의 부정정 스트럿-타이 모델 및 하중분배율 (II) 적합성 평가)

  • Chae, Hyun-Soo;Kim, Byung-Hun;Yun, Young-Mook
    • Journal of the Korea Concrete Institute
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    • v.23 no.1
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    • pp.13-22
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    • 2011
  • In this study, ultimate strengths of 51 continuous reinforced concrete deep beams were evaluated by the ACI 318M-08's strut-tie model approach implemented with the presented indeterminate strut-tie model and load distribution ratio of the companion paper. The ultimate strengths of the continuous deep beams were also estimated by the shear equations derived based on experimental results, conventional design codes based on experimental and theoretical shear strength models, and current strut-tie model design codes. The validity of the presented strut-tie model and load distribution ratio was examined through the comparison of the strength analysis results classified according to the primary design variables of shear span-to-effective depth ratio, flexural reinforcement ratio, and concrete compressive strength. The present study results of ultimate strengths obtained using the indeterminate strut-tie model and load distribution ratio of the continuous deep beams agree fairly well with those obtained using other approaches. In addition, the present approach reflected the effect of the primary design variables on the ultimate strengths of the continuous deep beams consistently and accurately. Therefore, the present study will help structural designers to conduct rational and practical strut-tie model designs of continuous deep beams.

A Study on the Mass Transfer of Extraction Process by Use of Hollow Fiber Membrane Module (실관막 모듈을 이용한 추출공정의 물질전달에 관한 연구)

  • Kim, Young-Il;Jin, Do-Won;Kim, Jong-Hyun;Choi, Dai-Ung;Park, Dong-Won
    • Applied Chemistry for Engineering
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    • v.7 no.5
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    • pp.977-984
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    • 1996
  • Liquid-liquid extractions by use of hollow fiber membrane module are fast because of the large surface area per volume. In these membranes, the extractant and feed can be contacted at high speed and two flows are completely independent, so there are no problems with loading and channeling. In this paper, it was investigated the selectivities of extractants for extraction of heavy metals from aqueous solution into organic extractants by using the hollow fiber membrane. To identify the effect of distribution ratio on mass transfer in the membrane, we also compared the distribution ratio with mass transfer coefficient. From these experiments for the system with high distribution ratio, effect of the distribution ratio on mass transfer was weak compare with the low distribution ratio system in the hollow fiber membrane.

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Numerical Study on the Distribution Characteristics of Aluminum Plate-Fin Heat Exchangers According to the Distributor Aspect Ratio (알루미늄 플레이트-핀 열교환기의 분배기 형상비에 따른 분배특성에 관한 해석적 연구)

  • Lee, Eung-Chan;Kang, Hoon;Heo, Jae-Hyeok;Kim, Yong-Chan;Park, Jae-Hong;Cho, Sung-Youl
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.8
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    • pp.805-814
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    • 2011
  • Aluminum plate-fin heat exchangers (ALPHEs) are widely used in petroleum and gas-treated processes. The performance of the ALPHE is strongly dependent on the distribution characteristics of the header and the distributors of each fluid. In this paper, we define the aspect ratio in the side-entry type distributor and analyze the distribution characteristics using CFD-based numerical methods. The phenomena of velocity deviation and distribution with the aspect ratio and the inlet Reynolds number were analyzed by applying relative and absolute maldistribution parameters, and an optimum aspect ratio with the inlet Reynolds number was presented.

EFFECT OF ASPECT RATIO ON SLIP FLOW IN RECTANGULAR MICROCHANNELS

  • Islam, Md.Tajul;Lee, Yeon-Won
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2803-2810
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    • 2007
  • Three dimensional numerical studies were carried out to investigate the effect of aspect ratio on gas slip flow in rectangular microchannels. We focused on aspect ratio effect on slip velocity, pressure distribution and mass flow rate. As aspect ratio decreases the wall slip velocity also decreases. As a result nonlinearity of pressure distribution increases. The slip velocities on sides and top/bottom walls are different and this difference decreases with increasing aspect ratio. These two velocities are equal when aspect ratio is 1. The ratios of slip mass flow rate over noslip mass flow rate increases with increasing aspect ratios.

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Probabilistic Analysis of Liquefaction Cyclic Stress Ratio Considering Soil Variability (지반변동성을 고려한 액상화 진동전단응력비의 확률론적 해석)

  • Heo, Joon
    • Journal of The Korean Society of Agricultural Engineers
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    • v.60 no.2
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    • pp.95-101
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    • 2018
  • The objective of this study is to evaluate the liquefaction cyclic shear stress ratio considering the soil uncertainty. In this study, the probabilistic ground response analysis and the cyclic shear stress ratio analysis for the liquefaction potential evaluation are performed considering the soil variability. The statistical properties of input ground parameters were analyzed to investigate the parameters affecting the seismic response analysis. The Probabilistic analysis was carried out by Monte Carlo Simulation method. The ground response analysis was performed considering the soil variability and the probability distribution characteristics of the ground acceleration. The probability distribution of the peak ground acceleration by seismic characteristics was presented. The differences of liquefaction shear stress ratio results according to soil variability were compared and analyzed. The maximum acceleration of the ground by the deterministic method was analyzed to be overestimation of the ground amplification phenomenon. Also, the shear stress ratio was overestimated.

A Statistical Analysis of the Distribution of Sasang Constitutions in Iksan Wonkwang Oriental Medicine (익산원광한의원 내원환자의 체질분포에 관한 통계적 분석)

  • 김종열;김홍기
    • The Journal of Korean Medicine
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    • v.24 no.3
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    • pp.118-129
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    • 2003
  • Objective : To learn the distributional characteristics of Sasang constitutions, Methods : We statistically analyzed those 1338 patients who had been treated at Iksan Wonkwang Oriental Medicine during the period of three years from 2000 to 2002. The data were obtained through the electronic chart developed by Kim Jong- Yeol, and analyzed using the statistical Package SPSS. Results : The distributional ratio of Soeumin : Soyangin : Taeumin was 22.8 : 29.2 : 47.8. Thus the hypothesis : 'the distributional ratio of Soeumin : Soyangin : Taeumin is 2 : 3 : 5' was barely rejected by $x^2$ test for goodness-of-fit at the significance level of 5 %. When $x^2$ test for homogeneity was applied, the distributional characteristics between women and men were different and the distributional characteristics among several age groups were different under significance level of 5%. Conclusion : Though the hypothesis: 'the distributional ratio of Soeumin : Soyangin : Taeumin is 2 : 3 : 5' was rejected by $x^2$ test at the significance level of 5%, the observed distributional ratio was not so far away from the hypothesis.

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