• Title/Summary/Keyword: Mixed distribution

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A Bayesian Approach to Gumbel Mixture Distribution for the Estimation of Parameter and its use to the Rainfall Frequency Analysis (Bayesian 기법을 이용한 혼합 Gumbel 분포 매개변수 추정 및 강우빈도해석 기법 개발)

  • Choi, Hong-Geun;Uranchimeg, Sumiya;Kim, Yong-Tak;Kwon, Hyun-Han
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.38 no.2
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    • pp.249-259
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    • 2018
  • More than half of annual rainfall occurs in summer season in Korea due to its climate condition and geographical location. A frequency analysis is mostly adopted for designing hydraulic structure under the such concentrated rainfall condition. Among the various distributions, univariate Gumbel distribution has been routinely used for rainfall frequency analysis in Korea. However, the distributional changes in extreme rainfall have been globally observed including Korea. More specifically, the univariate Gumbel distribution based rainfall frequency analysis is often fail to describe multimodal behaviors which are mainly influenced by distinct climate conditions during the wet season. In this context, we purposed a Gumbel mixture distribution based rainfall frequency analysis with a Bayesian framework, and further the results were compared to that of the univariate. It was found that the proposed model showed better performance in describing underlying distributions, leading to the lower Bayesian information criterion (BIC) values. The mixed Gumbel distribution was more robust for describing the upper tail of the distribution which playes a crucial role in estimating more reliable estimates of design rainfall uncertainty occurred by peak of upper tail than single Gumbel distribution. Therefore, it can be concluded that the mixed Gumbel distribution is more compatible for extreme frequency analysis rainfall data with two or more peaks on its distribution.

Analysis of Field Test Data using Robust Linear Mixed-Effects Model (로버스트 선형혼합모형을 이용한 필드시험 데이터 분석)

  • Hong, Eun Hee;Lee, Youngjo;Ok, You Jin;Na, Myung Hwan;Noh, Maengseok;Ha, Il Do
    • The Korean Journal of Applied Statistics
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    • v.28 no.2
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    • pp.361-369
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    • 2015
  • A general linear mixed-effects model is often used to analyze repeated measurement experiment data of a continuous response variable. However, a general linear mixed-effects model can give improper analysis results when simultaneously detecting heteroscedasticity and the non-normality of population distribution. To achieve a more robust estimation, we used a heavy-tailed linear mixed-effects model for a more exact and reliable analysis conclusion than a general linear mixed-effects model. We also provide reliability analysis results for further research.

Microstructure Characteristics of Conductive Cement Mortar with Deterioration Damage (열화손상이 발생된 전도성시멘트모르타르의 미세구조 특성)

  • Kim, Young-Min;Lee, Gun Cheol;Yun, Hyun Do;Kwon, Hyun Woo
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2021.05a
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    • pp.195-196
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    • 2021
  • The pore distribution of the cement mortar mixed with carbon nanotubes was found to have a large number of pores at (370~80)㎛, and the distribution ratio was larger as the carbon nanotubes were mixed. However, the pores with a fine particle diameter of (10-0.5) ㎛ were found to be larger as the carbon nanotubes were incorporated. However, the distribution of pores of the test specimens of conductive cement mortar with deterioration damage was found to be distributed in a number of particle diameters of (500 to 100) ㎛ and (10 to 0.5) ㎛. It is judged that the particle diameter of the internal pores increased due to the damage. However, as the mixing ratio of the test specimen with carbon nanotubes increased, the distribution of voids was relatively lower than that of plain, and it was judged to have excellent resistance to deterioration damage.

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An Experimental Study on the Effect of the Coronary Vasodilator-mixed Cardioplegic Solution on Myocardial Protection during Prolonged Aortic Cross-Clamping (심혈관 확장제를 첨가한 심정지액의 심근보호에 미치는 효과)

  • Jo, Gyu-Do;Kim, Se-Hwa;Lee, Hong-Gyun
    • Journal of Chest Surgery
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    • v.18 no.4
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    • pp.732-739
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    • 1985
  • This study was experimentally undertaken to evaluate the effect of the coronary vasodilator-mixed cardioplegic solution on myocardial protection during prolonged aortic cross-clamping. The dogs were divided into two groups: control group A[received hypothermic cardioplegic solution without any additive coronary vasodilator], and comparing group 8[received hypothermic cardioplegic solution, mixed with various coronary vasodilators and Inderal]. Group A further was divided into two subgroups: subgroup A-1[ischemic time, 90 minutes], and subgroup A-2 [ischemic time, 240 minutes]. Group B further was divided into five subgroups: subgroup B-1 [received papaverine mixed hypothermic cardioplegic solution], subgroup B-2[received nitroglycerin mixed hypothermic cardioplegic solution], subgroup B-3 [received nitroprusside mixed hypothermic cardioplegic solution, subgroup B-4[received hydralazine mixed hypothermic cardioplegic solution], and subgroup B-5 [received inderal mixed hypothermic cardioplegic solution]. The specimens from all of the subgroups were studied by electron microscopic examination. The specimens of subgroups [B-l, B-2 8-3, and B-4], received coronary vasodilators mixed hypothermic cardioplegic solutions, were also compared by methylene blue induced staining of the myocardium and coronary vessels. The results obtained were as followings: l. On electron microscopic examination, all of the specimens, including subgroup A-2, showed no irreversible change of the myocardium. But the best result was obtained from the subgroup B-l, treated by papaverine mixed hypothermic cardioplegic solution. The subgroup B-2, treated by nitroglycerin, was next. And the subgroup B-5, treated by Inderal, was agreeable, comparing the electron microscopic finding with control group in the effect of myocardial protection. 2. The distribution in the myocardium of cardioplegic solution was demonstrated with the aid of methylene blue staining in the subgroups of B-l, B-2, B-3, and B-4, and they were the groups treated by papaverine, nitroglycerin, nitroprusside, and hydralazine in their grouping order. The best result was obtained from the subgroup B-1 [papaverine]. The subgroup B-2 [nitroglycerin] was next. The subgroup B-3 [nitroprusside] was moderate in finding of the colorization. The subgroup B-4 [hydralazine] was the poorest in the distribution of the cardioplegic solution in the myocardium. From these results, it appeared that myocardial protection during ischemic arrest for open heart surgery could be enhanced considerably when coronary dilatation was assured.

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Effects of Enzyme Treatment in Steeping Process on Physicochemical Properties of Wet-Milled Rice Flour (효소 전처리에 의한 습식제분 쌀가루의 이화학적 특성)

  • Kim, Rae-Young;Park, Jae-Hee;Kim, Chang-Soon
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.40 no.9
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    • pp.1300-1306
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    • 2011
  • This study investigated the physicochemical characteristics of wet-milled rice flour treated with pectinase and cellulase in a steeping process. Enzyme treatments were used as follows: pectinase 0.05%, cellulase 0.05%, and mixed enzyme treatments 0.05~0.2%. For particle distribution, rice flour E-treated with mixed enzymes (pectinase 0.05% and cellulase 0.05%) was the finest at 48.3% particle distribution less than $53\;{\mu}m$. Protein contents and damaged starch were reduced by enzyme treatments. Damaged starch was the lowest (12.1%) in rice flour E compared with non-enzyme treatment (18.1%). Amylose content, water binding capacity, solubility, and swelling power all increased upon enzyme treatments, and their effects increased upon mixed enzyme treatment. For gelatinization characteristics of RVA, peak viscosity, final viscosity, breakdown, and total setback viscosity increased in rice flours treated with mixed enzymes. Especially, in steeping method with mixed enzyme treatment, pectinase 0.05% and cellulase 0.05% treatment was suitable for minimizing damaged starch and high fine particle distribution of rice flours compared with single enzyme treatment.

Statistical frequency analysis of snow depth using mixed distributions (혼합분포함수를 적용한 최심신적설량에 대한 수문통계학적 빈도분석)

  • Park, Kyung Woon;Kim, Dongwook;Shin, Ji Yae;Kim, Tae-Woong
    • Journal of Korea Water Resources Association
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    • v.52 no.12
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    • pp.1001-1009
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    • 2019
  • Due to recent increasing heavy snow in Korea, the damage caused by heavy snow is also increasing. In Korea, there are many efforts including establishing disaster prevention measures to reduce the damage throughout the country, but it is difficult to establish the design criteria due to the characteristics of heavy snow. In this study, snowfall frequency analysis was performed to estimate design snow depths using observed snow depth data at Jinju, Changwon and Hapcheon stations. The conventional frequency analysis is sometime limted to apply to the snow depth data containing zero values which produce unrealistc estimates of distributon parameters. To overcome this problem, this study employed mixed distributions based on Lognormal, Generalized Pareto (GP), Generalized Extreme Value (GEV), Gamma, Gumbel and Weibull distribution. The results show that the mixed distributions produced smaller design snow depths than single distributions, which indicated that the mixed distributions are applicable and practical to estimate design snow depths.

Reliability Analysis of a Quay Wall Constructed on the Deep-Cement-Mixed Ground (Part II: Internal Stability of the Improved Soil System) (심층혼합처리지반에 설치된 안벽의 신뢰성해석 (Part II: 개량지반의 내부안정))

  • Huh, Jung-won;Park, Ock-Joo;Kim, Young-Sang;Hur, Dong-Soo
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.22 no.2
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    • pp.88-94
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    • 2010
  • A reliability analysis method is proposed in this paper to quantitatively evaluate the risk for internal stability of a quay wall constructed on the deep cement mixed ground, differentiating from the companion paper that mainly describes the external stability. Failure modes for toe pressure, shear strength of improved ground and extrusion of unimproved soft soil are investigated and compared in the risk estimation of internal stability using MVFOSM, FORM, and MCS. From the reliability analysis results for internal stability of a quay wall, the variance and distribution type of the compressive strength of Deep Mixed Soil-Cement appear to be very affective to the failure probability. On the other hand, other random variables seem to be relatively very insensitive to the probability of failure. It is therefore very important to rationally and accurately determine the probabilistic properties of the in-site compressive strength of Deep Mixed Soil-Cement.

A Simple Mixed-Based Approach for Thin-Walled Composite Blades with Two-Cell Sections

  • Jung Sung Nam;Park Il-Ju
    • Journal of Mechanical Science and Technology
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    • v.19 no.11
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    • pp.2016-2024
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    • 2005
  • In this work, a mixed beam approach that combines both the stiffness and the flexibility methods has been performed to analyze the coupled composite blades with closed, two-cell cross-sections. The Reissner's semi-complementary energy functional is used to derive the beam force-displacement relations. Only the membrane part of the shell wall is taken into account to make the analysis simple and also to deliver a clear picture of the mixed method. All the cross section stiffness coefficients as well as the distribution of shear across the section are evaluated in a closed-form through the beam formulation. The theory is validated against experimental test data, detailed finite element analysis results, and other analytical results for coupled composite blades with a two-cell airfoil section. Despite the simple kinematic model adopted in the theory, an accuracy comparable to that of two-dimensional finite element analysis has been obtained for cases considered in this study.

A Study on the Characteristics of the Mixed Light-BC Oil Sprays (경유-벙커C유 혼합연료의 분무 특성에 관한 연구)

  • Yoon, M.K.;Cho, S.C.;Choi, Y.G.;Ryu, J.I.
    • Journal of ILASS-Korea
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    • v.2 no.3
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    • pp.25-31
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    • 1997
  • This experiment was undertaken to investigate the spray characteristics of the conventional injection system and the ultrasonic energy added injection system. Test fuels include light oil and mixed light-BC oil. The mixed light-BC oil was injected at the normal temperature$(20^{\circ}C)$ and the high temperature$(95{\pm}2^{\circ}C)$ and injection pressure was $120kg/cm^2$. Sauter mean diameter was measured under the variation of the spray distance. To measure the droplet size, we used the Malvern system 2600C. Droplet size distribution was analyzed from the result data of Malvern system. It is also found that the condition of the ultrasonic energy added injection and high temperature injection generates the smaller droplets than that of the conventional injection.

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Solving Mixed Strategy Nash-Cournot Equilibria under Generation and Transmission Constraints in Electricity Market

  • Lee, Kwang-Ho
    • Journal of Electrical Engineering and Technology
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    • v.8 no.4
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    • pp.675-685
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    • 2013
  • Generation capacities and transmission line constraints in a competitive electricity market make it troublesome to compute Nash Equilibrium (NE) for analyzing participants' strategic generation quantities. The NE can cause a mixed strategy NE rather than a pure strategy NE resulting in a more complicated computation of NE, especially in a multiplayer game. A two-level hierarchical optimization problem is used to model competition among multiple participants. There are difficulties in using a mathematical programming approach to solve a mixed strategy NE. This paper presents heuristics applied to the mathematical programming method for dealing with the constraints on generation capacities and transmission line flows. A new formulation based on the heuristics is provided with a set of linear and nonlinear equations, and an algorithm is suggested for using the heuristics and the newly-formulated equations.