• Title/Summary/Keyword: 비대칭형 분포

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Estimation of confidence interval in exponential distribution for the greenhouse gas inventory uncertainty by the simulation study (모의실험에 의한 온실가스 인벤토리 불확도 산정을 위한 지수분포 신뢰구간 추정방법)

  • Lee, Yung-Seop;Kim, Hee-Kyung;Son, Duck Kyu;Lee, Jong-Sik
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.4
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    • pp.825-833
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    • 2013
  • An estimation of confidence intervals is essential to calculate uncertainty for greenhouse gases inventory. It is generally assumed that the population has a normal distribution for the confidence interval of parameters. However, in case data distribution is asymmetric, like nonnormal distribution or positively skewness distribution, the traditional estimation method of confidence intervals is not adequate. This study compares two estimation methods of confidence interval; parametric and non-parametric method for exponential distribution as an asymmetric distribution. In simulation study, coverage probability, confidence interval length, and relative bias for the evaluation of the computed confidence intervals. As a result, the chi-square method and the standardized t-bootstrap method are better methods in parametric methods and non-parametric methods respectively.

Theoretical Analysis on the Velocity Profile of Newtonian Fluids within Modelled Asymmetric Membrane Pores (모델화한 비대칭형 막기공에서 뉴톤 유체의 속도분포에 관한 이론해석)

  • 전명석;김재진
    • Membrane Journal
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    • v.7 no.3
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    • pp.142-149
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    • 1997
  • The extended analysis on the diverging flow through asymmetric membrane pores has been performed in this study. Afore rigorous equations of velocity profile relevant to the divergent slit and cone shaped channels, which are widely used as a general pore model, have been obtained by employing a creeping flow approach of Newtonian fluids. As a degree of asymmetry (i.e., diverging angle) is increased, the predicted flow function shifts Toward the center region due to the incorporated wall effect, so that the overall velocity profile becomes decreased. It is true, as expected, that when the divergent channel is in the low diverging angle limit, the channel flow results in the Poiseuillean fashion by utilizing a lubrication approximation. The flow rate equation of each type of channel has been developed from the combined solution of velocity profile and pressure fields. The effect of diverging flow on the flow rate enhancement has been remarkably predicted, in which the flow rate increases with the increase of pore asymmetry. The advantage of our theoretical results lies in the analytical expression for the diverging flow behavior through pore channels as well as its ability to play a fundamental role on the related membrane filtrations such as microfiltration and ultrafiltration.

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Modeling sharply peaked asymmetric multi-modal circular data using wrapped Laplace mixture (겹친라플라스 혼합분포를 통한 첨 다봉형 비대칭 원형자료의 모형화)

  • Na, Jong-Hwa;Jang, Young-Mi
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.5
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    • pp.863-871
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    • 2010
  • Until now, many studies related circular data are carried out, but the focuses are mainly on mildly peaked symmetric or asymmetric cases. In this paper we studied a modeling process for sharply peaked asymmetric circular data. By using wrapped Laplace, which was firstly introduced by Jammalamadaka and Kozbowski (2003), and its mixture distributions, we considered the model fitting problem of multi-modal circular data as well as unimodal one. In particular we suggested EM algorithm to find ML estimates of the mixture of wrapped Laplace distributions. Simulation results showed that the suggested EM algorithm is very accurate and useful.

Runoff Analysis due to the Moving Rainstorms on the Nonsymmetric Basin Shapes (비대칭 유역형상에 대한 이동강우의 유출영향분석)

  • Jeon, Min-Woo
    • Journal of Wetlands Research
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    • v.11 no.1
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    • pp.1-13
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    • 2009
  • The influence of moving rainstorms to runoff was analysed for the nonsymmetric shaped basins using kinematic wave theory. The distribution types of moving rainstorms are uniform, advanced, delayed and intermediate type, the nonsymmetric shaped basins are square, oblong and elongated shape. The runoff hydrographs were simulated and the characteristics were compared with the symmetric shaped basins for the rainstorms moving up, down and cross the basins with various velocities. The smallest differences of peak runoff of symmetric and nonsymmetric basins are appeared in the case of elongated basin, and the largest differences are shown at the oblong basin for the downstream direction. The identical results are shown for the upstream direction. The greatest peak runoff differences are shown in the delayed type rainstorm and the smallest differences are in the advanced type rainstorm for the crossstream direction. The oblong shaped basin generates the longest peak time and shortest peak time for the elongated shape basin.

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A design and fabrication of asymmetric Y-branch optical power splitters by $Ag^+-Na^+$ ion exchange ($Ag^+-Na^+$ 이온교환법을 이용한 비대칭형 Y-분리기의 설계 및 제작)

  • 전금수;강동성;김희주;반재경
    • Korean Journal of Optics and Photonics
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    • v.12 no.4
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    • pp.320-326
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    • 2001
  • In this paper, we have fabricated asymmetric Y-branch optical power splitters with various optical power splitting ratios by changing the width of one of the output waveguides using $Ag^+-Na^+$ ion change method in BK7 glass. The transmission characteristics of asymmetric Y-branch optical power splitters with different output waveguide width have been investigated using the finitedifference beam propagation method (FD-BPM). We have found the index of the channel waveguide formed by Ag+-Na+ ion change method in BK7 glass and have fabricated channel waveguides to examine the transmission characteristics of channel waveguide. And we have fabricated asymmetric Y-branch optical power splitters with output waveguide width from TEX>$4{\mu}m$ to $6{\mu}m$. /TEX>.

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Modeling on asymmetric circular data using wrapped skew-normal mixture (겹친왜정규혼합분포를 이용한 비대칭 원형자료의 모형화)

  • Na, Jong-Hwa;Jang, Young-Mi
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.2
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    • pp.241-250
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    • 2010
  • Over the past few decades, several studies have been made on the modeling of circular data. But these studies focused mainly on the symmetrical cases including von Mises distribution. Recently, many studies with skew-normal distribution have been conducted in the linear case. In this paper, we dealt the problem of fitting of non-symmetrical circular data with wrapped skew-normal distribution which can be derived by using the principle of wrapping. Wrapped skew-normal distribution is very flexible to asymmetical data as well as to symmetrical data. Multi-modal data are also fitted by using the mixture of wrapped skew-normal distributions. To estimate the parameters of mixture, we suggested the EM algorithm. Finally we verified the accuracy of the suggested algorithm through simulation studies. Application with real data is also considered.

Atomic motion and spatial distribution of 87Rb by Coordinate-dependent asymmetry radiation force in MOT (MOT에서 좌표의존 비대칭 광압에 의한 루비듐 원자의 운동과 원자 구름 분포)

  • 박성종
    • Korean Journal of Optics and Photonics
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    • v.11 no.4
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    • pp.221-226
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    • 2000
  • We observed the spatial distributions of atom in a magneto-optical trap. These distributions include sphere, stick, ring, ring with core, sphere-sphere, sphere-ring etc. Coordinate-dependent asymmetry radiation force (CDARF) that arises due to laser beams misalignment and transverse profile of the laser beams is exerted on atoms, and the shape of trapped cloud is changed with the misalignment parameter. We use equations of motion that takes into account the Zeeman sublevels of the 87Rb atom, magnitude and direction of magnetic field, polarization of trapping lasers, and transverse profile of the laser beams. A theoretical analysis of the equation of motion for the trapped atom explained all the experimental observations.

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Characterization of membrane pore size based on the liquid displacement method (Liquid displacement method에 의한 막의 기공 크기 특성화)

  • 원종옥;박현채;강용수;백창근;민병렬
    • Proceedings of the Membrane Society of Korea Conference
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    • 1998.04a
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    • pp.62-64
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    • 1998
  • 1. 서론 및 이론적 배경 : 분리막 기술은 다양한 산업분야에서 광범위하게 사용되어지고 있는데 대부분 비대칭형 구조를 지닌 다공막이다. 이 경우 막의 표면에 존재하는 기공의 크기 및 크기 분포가 분리막의 성능을 결정하게 된다. 분리막 표면의 active pore 크기 및 크기 분포를 측정하기 위하여 liquid displacement방법이 많이 사용되고 있다. (생략)

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Joint analysis of binary and continuous data using skewed logit model in developmental toxicity studies (발달 독성학에서 비대칭 로짓 모형을 사용한 이진수 자료와 연속형 자료에 대한 결합분석)

  • Kim, Yeong-hwa;Hwang, Beom Seuk
    • The Korean Journal of Applied Statistics
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    • v.33 no.2
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    • pp.123-136
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    • 2020
  • It is common to encounter correlated multiple outcomes measured on the same subject in various research fields. In developmental toxicity studies, presence of malformed pups and fetal weight are measured on the pregnant dams exposed to different levels of a toxic substance. Joint analysis of such two outcomes can result in more efficient inferences than separate models for each outcome. Most methods for joint modeling assume a normal distribution as random effects. However, in developmental toxicity studies, the response distributions may change irregularly in location and shape as the level of toxic substance changes, which may not be captured by a normal random effects model. Motivated by applications in developmental toxicity studies, we propose a Bayesian joint model for binary and continuous outcomes. In our model, we incorporate a skewed logit model for the binary outcome to allow the response distributions to have flexibly in both symmetric and asymmetric shapes on the toxic levels. We apply our proposed method to data from a developmental toxicity study of diethylhexyl phthalate.

Optimum Balancing Using Ggenetic Algorithm (유전 알고리즘을 이용한 최적 평형잡이에 관한 연구)

  • 최원호;양보석;주호진;임동수;노철웅
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.04a
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    • pp.137-141
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    • 1995
  • 회전기계에서 발생하는 진동 원인 중 약 60% 이상이 불평형(unbalance)에 의한 진동이다. 불평형은 기계의 과도한 진동을 유발시킬 뿐 아니라 베어링의 수명 단축 및 소음을 발생시킨다. 따라서, 기게의 수명을 연장시키고, 기계의 성능을 향상시키며 부드럽고 진동이 없는 운전을 위하여 평형잡이(balancing)는 절대적으로 중요하다. 불평형은 축 중심선에 대하여 회전체의 질량 분포가 비대칭이기 때문에 발생하는데 그 원인으로는 부품 자체가 비대칭에서 오는 설계 또는 제도 오차, 주물의 기포 및 용접의 불균일 등에 의한 재질상의 결함, 그리고 부품조립시 형상누적공차 등에 의한 가공.조립오차 등이 있다. ISO의 정의에 따르면 평형잡이는 회전체의 질량 분포를 조사하고 필요하다면 저널의 진동과 베어링의 작용력들이 운전속도에 대응하는 주파수에서 특정한 한계내에 있도록 보증하게 하기 위한 조정을 하는 과정이다. 불평형 상태에 대한 조사도 평형잡이로 표현된다. 그러나 수정이 필요하다고 간주된다면 수행된다. 모든 회전체는 초기 불평형(initial unbalance)이라 불리는 임의의 불평형을 가지고 출발한다. 완벽하게 평형이 잡힌 회전체를 달성하는 것이 평형잡이 작업의 목적은 아니다. 임의의 잔류 불평형(residual unbalance)은 항상 허용된다. 경제적인 이유에서 회전체는 일반적으로 요구되는 적절한 허용치보다 더 이상 평형잡이를 하지 않는다. 현장에서 현장 평형잡이를 수행하게 될 경우, 가끔 계산된 수정질량이 매우 클 경우가 있다. 이때 기게의 조건상 큰 수정질량을 부착하기가 곤란한 경우가 자주 발생한다. 작은 수정질량으로 평형잡이를 할 수 있다면 기계의 안정성 면에서 매우 유리하다. 따라서 본 연구에서는 영향계수법(Influence Coefficient Method : ICM)의 기본 개념과 유전 알고리즘(Genetic Algorithm : GA)을 이용하여 회전기계의 안정성을 보장할 수 있는 허용진동 내에서의 최적 수정질량 계산법을 제시한다.

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