• Title/Summary/Keyword: 비정규 분포

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Estimation of Resistance Bias Factors for the Ultimate Limit State of Aggregate Pier Reinforced Soil (쇄석다짐말뚝으로 개량된 지반의 극한한계상태에 대한 저항편향계수 산정)

  • Bong, Tae-Ho;Kim, Byoung-Il;Kim, Sung-Ryul
    • Journal of the Korean Geotechnical Society
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    • v.35 no.6
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    • pp.17-26
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    • 2019
  • In this study, the statistical characteristics of the resistance bias factors were analyzed using a high-quality field load test database, and the total resistance bias factors were estimated considering the soil uncertainty and construction errors for the application of the limit state design of aggregate pier foundation. The MLR model by Bong and Kim (2017), which has a higher prediction performance than the previous models was used for estimating the resistance bias factors, and its suitability was evaluated. The chi-square goodness of fit test was performed to estimate the probability distribution of the resistance bias factors, and the normal distribution was found to be most suitable. The total variability in the nominal resistance was estimated including the uncertainty of undrained shear strength and construction errors that can occur during the aggregate pier construction. Finally, the probability distribution of the total resistance bias factors is shown to follow a log-normal distribution. The parameters of the probability distribution according to the coefficient of variation of total resistance bias factors were estimated by Monte Carlo simulation, and their regression equations were proposed for simple application.

Simulation analysis of type I error and power for F test and rank transformed F test in $2 times 2$ factorial ANOVA ($2 times 2$ 요인 계획법의 F 검정과 순위 F 검정에 따른 제1종 오류와 검정력 분석에 대한 의태 연구)

  • 최영훈
    • The Korean Journal of Applied Statistics
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    • v.8 no.2
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    • pp.87-97
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    • 1995
  • When there is no main effcts or only one main effect in a $2 \times 2$ factorial design, Type I error rates and power for the rank transformed F test (FR test) for interaction are nearly equal to those of the classical F test. However the power of FR test is quite superior under the exponential distribution rather than the of FR test is quite superior under the exponential distribution rather than the normal distribution. Meanwhile when both main effects are in the model, Type I error rates of FR test, compared with those of F test, decrease as the effect size increases and are dependent on the fashion in which main effects are constructed. In addition, the power of FR test increases as the effect size and the sample size increase and is highly dependent on the manner in which main effects are constructed and the type of population distribution.

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A Study on Comparison between the Propagation of Uncertainty by GUM and Monte-Carlo Simulation (측정 불확도 표현 지침서(GUM)와 Monte-Carlo Simulation에 의한 불확도 전파 결과의 비교 연구)

  • Jungkee Shu;Hyungsik Min;Minsu Park;Jin-Chun Woo;Jongsang Kim
    • Journal of the Korean Chemical Society
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    • v.47 no.1
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    • pp.31-37
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    • 2003
  • The expanded uncertainties calculated by the application of GUM -approximation and Monte-Carlo simulation were compared about the model equation of one-point calibration which is widely used for the measurements and chemical analysis. For the comparisons, we assumed a set of artificial data at the various level of concentration and dispersion of t or normal distribution. Mistakes of more then 50 % was revealed at the values calculated by GUM-approximation in comparison with those of Monte-Carlo simulation because of the excess dispersion from t-distribution and non-linearity by division in the equation. In contrary, the mistake of calculation due to non-linearity of the equation was not observed in the level of detection limits with the equation of one-point calibration, because of the relatively large values of uncertainty in response.

Impact of Secondary Currents on Solute Transport in Open-Channel Flows over Smooth-Rough Bed Strips (조(粗)·세립상(細粒床)의 연속구조를 갖는 개수로 흐름에서 오염물질 수송에 대한 이차흐름 영향 분석)

  • Kang, Hyeongsik;Choi, Sung-Uk;Kim, Kyu-Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.1B
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    • pp.73-81
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    • 2009
  • This paper presents a numerical investigation of the impact of the secondary currents on solute transport in open-channel flows. The RANS model with Reynolds stress model is used for flow modeling, and the GGDH(generalized gradient diffusion hypothesis) model is used to close the scalar transport equation. Using the developed model, the impact of secondary currents on solute transport in open channel flows over smooth-rough strip is investigated. Through numerical experiments, the secondary currents are found to affect the solute spreading, leading a movement of the position of the peak concentration and a skewed distribution of solute concentration. Due to the lateral flow of secondary currents near the free surface, the concentration at the rough strip is found to be larger than that at the smooth strip bed. The solute at the rough strip is more rapidly transported than smooth bed. A magnitude analysis of the solute transport rate in scalar transport equation is also carried out to investigate the effect of secondary currents and scalar flux on the concentration distribution.

Power study for 2 × 2 factorial design in 4 × 4 latin square design (4 × 4 라틴방격모형 내 2 × 2 요인모형의 검정력 연구)

  • Choi, Young Hun
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.6
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    • pp.1195-1205
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    • 2014
  • Compared with single design, powers of rank transformed statistic for testing main and interaction effects for $2{\times}2$ factorial in $4{\times}4$ latin square design are rapidly increased as effect size and replication size are increased. In general powers of rank transformed statistic are superior without regard to the diversified effect composition and the type of error distributions as nontesting factors are few and effect size are small. Powers of rank transformed statistic show much higher level than those of parametric statistic in exponential and double exponential distributions. Further powers of rank transformed statistic are very similar with those of parametric statistic in normal and uniform distributions.

Insertion loss by bubble layer surrounding a spherical elastic shell submerged in water (수중의 구형 탄성 몰수체를 둘러싼 기포층에 의한 삽입손실)

  • Lee, Keunhwa;Lee, Cheolwon;Park, Cheolsoo
    • The Journal of the Acoustical Society of Korea
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    • v.41 no.2
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    • pp.174-183
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    • 2022
  • Acoustic radiation from a submerged elastic shell with an internal fluid surrounded by the bubble layer is studied with the modal theory. An omni-directional point source located on the center of the internal fluid is used as acoustic noise source. The unknown coefficients of modal solutions are solved using the interface conditions between media. To preserve the stability of the modal solution over wide frequency ranges, the scaled technique of modal solution is used. The bubble layer is modeled with four kinds of bubble distribution; uni-modal distribution, uniform distribution, normal distribution, and power-law distribution, based on the effective medium theory of Commander and Prosperetti. For each bubble distribution, the insertion losses are mainly calculated for the frequency. In addition, the numerical simulations are performed depending in the bubble void fraction, the material property of elastic shell, and the gap between the bubble layer and the elastic shell.

A Noncoherent Method for Sequential Code Acquisition with Simplified Structure Based on Approximated Bessel Function (어림 베셀함수를 바탕으로 얼개를 간단히 한 비동위상 순차 부호획득 방법)

  • Kwon, Hyoung-Moon;Lee, Ju-Mi;Yoon, Seok-Ho;Lee, Sung-Ro;Song, Iick-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.9C
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    • pp.955-963
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    • 2005
  • In this paper, we consider the noncoherent code acquisition problem using sequential schemes. We show that the outputs of the noncoherent receiver approximately have a central chi-square distribution under the null hypothesis through simulations. Based on this observation, simplified acquisition schemes are obtained using the approximations of the Bessel function. The performance of the simplified and original schemes are compared in additive white Gaussian noise and slowly varying fading channels. Numerical results show that the simplified schemes have essentially the same performance as the original schemes.

Centriofuge Model Tests on Excavation Depth-Time-Displacement of Unpropped Diaphragm Walls (Diaphragm Wall에서 굴착깊이-시간-변위에 관한 원심모형실험)

  • Lee, Cheo-Keun;Aan, Kwang-Kuk;Heo, Yol
    • Journal of the Korean Geotechnical Society
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    • v.16 no.5
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    • pp.179-191
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    • 2000
  • 본 연구에서는 화강토 지반상의 자립식 diaphragm wall의 거동을 연구하기 위하여 벽체의 근입깊이비, 지하수위 및 굴착조건(연속 및 단계굴착)을 변화시키면서 원심모형시럼을 수행하였다. 원심모형실험시 지반굴착은 흙과 동일한 밀도로 혼합된 zine chloride 용액이 배수되도록 밸브를 조작하여 실시하였으며, 굴착에 의해 발생되는 지반의 변형괴 벽체의 변위 및 휨모멘트를 시간경과에 따라 측정하였다. 실험결과, 벽체의 근입깊이비가 증가함에 따라 벽체의 휨모멘트는 증가하는 반면, 굴착과정동안 배면측에서의 간극수압 감소속도는 감소하였다. 최종 굴착단계에서 굴착후 시간경과에 따른 침하량은 굴착과정중의 침하?에 비해 5~7% 정도를 나타내었다. 최대표면침하량과 벽체변위를 굴착깊이로 정규화한 결과 최대 침하량은 벽체 변위량의 0.8~1.2배9평균0.91배)사이에 분포하였다. 굴착깊이로 전규화한 벽체변위와 근입깊이와의 관계는 지수함수식으로 제안하였다. 파괴면은 직선적인 형태로 파괴면내의 배면측 지반은 벽체를 향하여 하향의 변위를 일으키면서 벽체의 회전에 의해 파괴되었으며, 퐈괴면의 각도는 66~72.5$^{\circ}$정도로 이론적인 파괴면의 각도보다 크게 평가되었다.

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The Change of Industrial Distribution Pattern by Worker Status Classification : Busan, 1994~2004 (종사상 지위분류에 따른 산업분포변화: 부산, 1994~2004)

  • Kang, In-Joo;Nam, Kwang-Woo
    • Journal of the Korean Association of Geographic Information Studies
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    • v.10 no.4
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    • pp.111-121
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    • 2007
  • Diagnosis and Prediction of urban industrial structure is a key subject for establishment of sustainable urban development plan. By this time, studies of industry-related urban spatial structure have been concentrated on measurement of space distribution by industry type mainly using data about urban industries or total worker numbers. Now, status of workers become an important issue so this study analyzed qualitative change of urban industrial structure in the view of space using work status classification system. For that, data for work status in 1994 and 2004 were collected in towns and villages, and space analysis units were coincided based on change data between 1994 and 2004. Then, it analyzed spatial distribution pattern of employment through qualitative standard called work status using GIS. The analysis results by work status type of Busan industrial structure in GIS circumstance were as below. First, traditional labor intensive industries met a limit and service and wholesale/retail sale industries went to be poor livelihood. Therefore, Busan's employment rate should be decreased and worker numbers were statistically increased, however, irregular and non-wage workers were suddenly increased. So, it was determined that the quality of employment in Busan area came down. Second, a traditional downtown area has dwindled; on the other hand, employment has been increased in new town or new industrial complex and in the area developed services rather than the manufacturing industry. It is expected that the result of this study may be meaningful as data to prepare for longterm industrial development plan through qualitative evaluation called work status as well as to make behavior pattern of industrial structure which is basis of urban development.

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Quantitative analysis of increase in depth of focus using Wigner distribution function (Wigner 분포 함수를 초점 심도 증가의 정량적 해석)

  • 장남영;강호정;은재정;최평석
    • Korean Journal of Optics and Photonics
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    • v.11 no.6
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    • pp.385-389
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    • 2000
  • A phase-retardation function which was derived from Wigner distribution function (WDF) is used to increase a focal depth of a radially symmetric optical system. The WDF for one-dimensional signal is represented as a two-dimensional function of phasespace ($\chi,\zeta$), and a normalized irradiance is described as a form of the Strehl ratio (SR). The increase in the focal depth is accomplished by delivering a shearing tilt a that represents a characteristic of free space propagation with simple manipulation in the WDF space. In this paper we propose a method for evaluating the focal depth quantitatively by representing the phaseretardation function in terms of the focal depth term. In order to verify the validity of the proposed method, we compared the numerically analyzed result with that of J. Sochki's study. study.

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