• 제목/요약/키워드: gamma model

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Generalized Gamma 분포 모형의 매개변수 유도 방법에 의한 설계홍수량의 비교분석 (Comparative Analysis of Design Flood by Different Methods for the Estimation of Parameters in Generalized Gamma Distribution Model)

  • 이순혁;맹승진;류경식
    • 한국관개배수논문집
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    • 제5권1호
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    • pp.32-46
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    • 1998
  • This study was conducted to derive optimal design floods by generalized gamma distribution model of the annual maximum series at six watersheds along Han and Nag Dong river systems. Design floods obtained by different methods for estimation of parameters

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CFD 코드의 기포류 유동 예측을 위한 기포크기모델 평가 (Evaluation of Bubble Size Models for the Prediction of Bubbly Flow with CFD Code)

  • 박진영;윤병조
    • 에너지공학
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    • 제25권1호
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    • pp.69-75
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    • 2016
  • 기포크기는 다차원 이상유동에서 정확한 기포거동의 예측을 위해 중요한 인자이다. 현재 CFD 코드인 STAR CCM+에서는 유동채널에서 기포크기예측을 위해 역학적인 기포크기모델인 $S{\gamma}$ 모델을 제공하고 있다. 기포크기 예측을 위한 또 다른 모델로써 고압조건의 과냉 비등 실험인 DEBORA 실험을 바탕으로 개발된 Yun 모델이 있다. 본 연구에서는 상용 CFD 코드인 STAR CCM+ ver. 10.02를 이용하여 물-공기 이상유동에 대한 수치해석을 통해 $S{\gamma}$ 모델과 Yun 모델의 성능을 확인하고 평가하였다. 이를 위해 두 모델은 수직관에서의 물-공기 실험인 DEDALE 실험과 Hibiki 등의 실험에 대하여 평가되었다. 해석 결과 $S{\gamma}$ 모델은 이상유동 인자들을 합리적으로 예측하였으며, Yun 모델은 저압조건의 물-공기 유동에는 적합하지 않음을 확인하였다.

감마족 분포를 이용한 소프트웨어 신뢰 성장 모형의 분석 (Analysis of Software Reliability Growth Model with Gamma Family Distribution)

  • 간광현;장병옥;김희철
    • 전기전자학회논문지
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    • 제9권2호
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    • pp.143-151
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    • 2005
  • 본 연구에서는 유한고장 비동질적인 포아송 과정 모형에서 결함당 고장 발생률이 상수이거나, 단조 증가 또는 단조 감소하는 패턴을 가질수 있다. 감마족 분포를 적용하여 고장발생률에 대한 특징을 알아보았고 감마족 분포는 형상 모수의 선택에 따라 다양한 모형으로 유도 될 수 있다. 따라서 본 연구는 형상모형에 근거한 감마 또는 와이블 그리고 곰페르츠 모형을 제시하여 신뢰도 분석 결과를 나열하였고 모형 선택 및 자료 분석을 위하여 산술과 라플라스 검정과 편차 자승합 등을 이용하였다.

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Applying Conventional and Saturated Generalized Gamma Distributions in Parametric Survival Analysis of Breast Cancer

  • Yavari, Parvin;Abadi, Alireza;Amanpour, Farzaneh;Bajdik, Chris
    • Asian Pacific Journal of Cancer Prevention
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    • 제13권5호
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    • pp.1829-1831
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    • 2012
  • Background: The generalized gamma distribution statistics constitute an extensive family that contains nearly all of the most commonly used distributions including the exponential, Weibull and log normal. A saturated version of the model allows covariates having effects through all the parameters of survival time distribution. Accelerated failure-time models assume that only one parameter of the distribution depends on the covariates. Methods: We fitted both the conventional GG model and the saturated form for each of its members including the Weibull and lognormal distribution; and compared them using likelihood ratios. To compare the selected parameter distribution with log logistic distribution which is a famous distribution in survival analysis that is not included in generalized gamma family, we used the Akaike information criterion (AIC; r=l(b)-2p). All models were fitted using data for 369 women age 50 years or more, diagnosed with stage IV breast cancer in BC during 1990-1999 and followed to 2010. Results: In both conventional and saturated parametric models, the lognormal was the best candidate among the GG family members; also, the lognormal fitted better than log-logistic distribution. By the conventional GG model, the variables "surgery", "radiotherapy", "hormone therapy", "erposneg" and interaction between "hormone therapy" and "erposneg" are significant. In the AFT model, we estimated the relative time for these variables. By the saturated GG model, similar significant variables are selected. Estimating the relative times in different percentiles of extended model illustrate the pattern in which the relative survival time change during the time. Conclusions: The advantage of using the generalized gamma distribution is that it facilitates estimating a model with improved fit over the standard Weibull or lognormal distributions. Alternatively, the generalized F family of distributions might be considered, of which the generalized gamma distribution is a member and also includes the commonly used log-logistic distribution.

FUZZY INTERIOR $\Gamma$-IDEALS IN ORDERED $\Gamma$-SEMIGROUPS

  • Khan, Asghar;Mahmood, Tariq;Ali, M. Irfan
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1217-1225
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    • 2010
  • In this paper we define fuzzy interior $\Gamma$-ideals in ordered $\Gamma$-semigroups. We prove that in regular(resp. intra-regular) ordered $\Gamma$-semigroups the concepts of fuzzy interior $\Gamma$-ideals and fuzzy $\Gamma$-ideals coincide. We prove that an ordered $\Gamma$-semigroup is fuzzy simple if and only if every fuzzy interior $\Gamma$-ideal is a constant function. We characterize intra-regular ordered $\Gamma$-semigroups in terms of interior (resp. fuzzy interior) $\Gamma$-ideals.

유전 알고리즘을 이용한 모델 추종형 최적 보일러-터빈 H$\infty$ 제어시스템의 설계 (A design on model following optimal boiler-turbine H$\infty$control system using genetic algorithm)

  • 황현준;김동완;박준호;황창선
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.1460-1463
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    • 1997
  • The aim of this paper is to suggest a design method of the model following optimal boiler-turbine H.inf. control system using genetic algorithm. This boiler-turbine H.inf. control system is designed by applying genetic algortihm with reference model to the optimal determination of weighting functions and design parameter .gamma. that are given by Glover-Doyle algornithm whch can design H.inf. contrlaaer in the sate. space. The first method to do this is ghat the gains of weightinf functions and .gamma. are optimized simultaneously by genetic algroithm. And the second method is that not only the gains and .gamma. but also the dynamics of weighting functions are optimized at the same time by genetic algonithm. The effectiveness of this boiler-turbine H.inf. control system is verified and compared with LQG/LTR control system by computer simulation.

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건강한 가정만들기를 위한 자가진단 척도 개발의 기초연구 - 감마모델을 중심으로 - (An Exploratory Study for Development of Self Diagnose Scale on the Healthy Family - Uses the GAMMA Model -)

  • 김성희
    • 가족자원경영과 정책
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    • 제11권4호
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    • pp.55-71
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    • 2007
  • The purpose of this study was to explore a self-diagnostic indicator for measuring a healthy family by adopting the theme of "happiness", which has surfaced as the most interesting in many academic fields recently. Though the basic concept of a healthy family may be shared by everyone, the criterion of happiness varies from one family to another. Therefore, it is desirable that the tool be made in such a way that every member of the family can check their health from a holistic perspective, rather than diagnosing health and happiness from the perspective of professionals. So, this study was aimed at diagnosing a family by using a tool named GAMMA model, so each family member can recognize problems and find the best options to solve it. This study. has a significant meaning in that it has tried to diagnose families by introducing the GAMMA model into domestic science for the first time.

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Development of a Stereotactic Device for Gamma Knife Irradiation of Small Animals

  • Chung, Hyun-Tai;Chung, Young-Seob;Kim, Dong-Gyu;Paek, Sun-Ha;Cho, Keun-Tae
    • Journal of Korean Neurosurgical Society
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    • 제43권1호
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    • pp.26-30
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    • 2008
  • Objective : The authors developed a stereotactic device for irradiation of small animals with Leksell Gamma Knife Model C. Development and verification procedures were described in this article. Methods : The device was designed to satisfy three requirements. The mechanical accuracy in positioning was to be managed within 0.5 mm. The strength of the device and structure were to be compromised to provide enough strength to hold a small animal during irradiation and to interfere the gamma ray beam as little as possible. The device was to be used in combination with the Leksell G-$frame^{(R)}$ and $KOPF^{(R)}$ rat adaptor. The irradiation point was determined by separate imaging sequences such as plain X-ray images. Results : The absolute dose rate with the device in a Leksell Gamma Knife was 3.7% less than the value calculated from Leksell Gamma $Plan^{(R)}$. The dose distributions measured with $GAFCHROMIC^{(R)}$ MD-55 film corresponded to those of Leksell Gamma $Plan^{(R)}$ within acceptable range. The device was used in a series of rat experiments with a 4 mm helmet of Leksell Gamma Knife. Conclusion : A stereotactic device for irradiation of small animals with Leksell Gamma Knife Model C has been developed so that it fulfilled above requirements. Absorbed dose and dose distribution at the center of a Gamma Knife helmet are in acceptable ranges. The device provides enough accuracy for stereotactic irradiation with acceptable practicality.

Gamma분포형 함수 적합을 이용한 Clark 모형의 매개변수 간접추정 (An Indirect Approach Determining Parameters of Clark's Model Based on Model Fitting to the Gamma Distribution function)

  • 성기원
    • 한국수자원학회논문집
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    • 제36권2호
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    • pp.223-235
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    • 2003
  • Clark 모형의 매개변수 추정방법을 개선하기 위하여, 순간단위도를 gamma 분포형 함수로 가정하여 매개변수를 추정한 후 이를 Clark 모형의 매개변수로 전환하는 간접 추정방법을 제안하였다. 이 방법은 전통적인 Clark 모형의 매개변수 추정방법의 개연적인 부정확성을 개선하는 특징과 더불어 Nash 모형과의 상관성을 파악할 수 있는 장점을 갖고 있다. 제안된 매개변수 추정방법을 위천 유역에 적용한 결과 만족할 수 있는 수준의 추정값을 얻을 수 있었으며 또한 유역의 도달시간-유하면적 관계를 나타내는 합성함수를 구축할 수 있었다. 또한 제안된 매개변수 추정방법은 미계측 유역에 대한 추정에 있어서도 높은 적용성을 보였다. 따라서 제안된 방법론은 기존의 매개변수 추정방법을 보조할 수 있는 충분한 대안으로 판단된다.

감마 혼합 모형을 통한 반복 측정된 형제 쌍 연관 분석 사례연구 (Gamma Mixed Model to Improve Sib-Pair Linkage Analysis)

  • 김정환;서영주;원성호;나정원;이우주
    • 응용통계연구
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    • 제28권2호
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    • pp.221-230
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    • 2015
  • 전통적으로 반복 측정된 형제 쌍 연관 분석에서는 선형 혼합 모형이 사용되어 왔다. 그러나 그 모형은 관심있는 표현형과 연관된 유전자좌를 찾는 것에 있어서 검정력이 문제가 되는 것으로 지적되어 왔다. 본 연구에서 우리는 이러한 검정력 문제를 개선하는 방법으로 감마 혼합 모형을 고려하였고, 검정력과 제 1종 오류의 관점에서 선형 혼합 모형과 성능을 서로 비교하여 보았다. Genetic Analysis Workshop 13에서 제공된 자료를 이용하여 살펴본 결과, 감마 혼합 모형이 검정력에 있어서 큰 이득을 볼 수 있는 것으로 나타났다.