• 제목/요약/키워드: statistical probability models

검색결과 213건 처리시간 0.025초

A Comparison of Urban Growth Probability Maps using Frequency Ratio and Logistic Regression Methods

  • Park, So-Young;Jin, Cheung-Kil;Kim, Shin-Yup;Jo, Gyung-Cheol;Choi, Chul-Uong
    • 한국조경학회지
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    • 제38권5_2호
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    • pp.194-205
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    • 2010
  • To predict urban growth according to changes in landcover, probability factors werecal culated and mapped. Topographic, geographic and social and political factors were used as prediction variables for constructing probability maps of urban growth. Urban growth-related factors included elevation, slope, aspect, distance from road,road ratio, distance from the main city, land cover, environmental rating and legislative rating. Accounting for these factors, probability maps of urban growth were constr uctedusing frequency ratio (FR) and logistic regression (LR) methods and the effectiveness of the results was verified by the relative operating characteristic (ROC). ROC values of the urban growth probability index (UGPI) maps by the FR and LR models were 0.937 and 0.940, respectively. The LR map had a slightly higher ROC value than the FR map, but the numerical difference was slight, with both models showing similar results. The FR model is the simplest tool for probability analysis of urban growth, providing a faster and easier calculation process than other available tools. Additionally, the results can be easily interpreted. In contrast, for the LR model, only a limited amount of input data can be processed by the statistical program and a separate conversion process for input and output data is necessary. In conclusion, although the FR model is the simplest way to analyze the probability of urban growth, the LR model is more appropriate because it allows for quantitative analysis.

난류연소 유동장에서의 확률밀도함수 전달방정식을 이용한 난류혼합 모델링 (Modeling of Turbulent Molecular Mixing by the PDF Balance Method for Turbulent Reactive Flows)

  • 문희장
    • 한국연소학회지
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    • 제2권1호
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    • pp.39-51
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    • 1997
  • A review of probability density function(PDF) methodology and direct numerical simulation for the purpose of modeling turbulent combustion are presented in this study where particular attention is focused on the modeling problem of turbulent molecular mixing term appearing in PDF transport equation. Existing mixing models results were compared to those evaluated by direct numerical simulation in a turbulent premixed medium with finite rate chemistry in which the initial scalar field is composed of pockets of partially burnt gases to simulate autoignition. Two traditional mixing models, the least mean square estimations(LMSE) and Curl#s model are examined to see their prediction capability as well as their modeling approach. Test calculations report that the stochastically based Curl#s approach, though qualitatively demonstrates some unphysical behaviors, predicts scalar evolutions which are found to be in good agreement with statistical data of direct numerical simulation.

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시계열 기상모델을 이용한 열적 위험확률 기반 동적 송전용량의 예측 (Prediction of Dynamic Line Rating Based on Thermal Risk Probability by Time Series Weather Models)

  • 김동민;배인수;조종만;장경;김진오
    • 대한전기학회논문지:전력기술부문A
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    • 제55권7호
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    • pp.273-280
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    • 2006
  • This paper suggests the method that forecasts Dynamic Line Rating (DLR). Thermal Overload Risk Probability (TORP) of the next time is forecasted based on the present weather conditions and DLR value by Monte Carlo Simulation (MCS). To model weather elements of transmission line for MCS process, this paper will propose the use of statistical weather models that time series is applied. Also, through the case study, it is confirmed that the forecasted TORP can be utilized as a criterion that decides DLR of next time. In short, proposed method may be used usefully to keep security and reliability of transmission line by forecasting transmission capacity of the next time.

Quantitative Comparison of Probabilistic Multi-source Spatial Data Integration Models for Landslide Hazard Assessment

  • Park No-Wook;Chi Kwang-Hoon;Chung Chang-Jo F.;Kwon Byung-Doo
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2004년도 Proceedings of ISRS 2004
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    • pp.622-625
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    • 2004
  • This paper presents multi-source spatial data integration models based on probability theory for landslide hazard assessment. Four probabilistic models such as empirical likelihood ratio estimation, logistic regression, generalized additive and predictive discriminant models are proposed and applied. The models proposed here are theoretically based on statistical relationships between landslide occurrences and input spatial data sets. Those models especially have the advantage of direct use of continuous data without any information loss. A case study from the Gangneung area, Korea was carried out to quantitatively assess those four models and to discuss operational issues.

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제한조건이 있는 선형회귀 모형에서의 베이지안 변수선택 (Bayesian Variable Selection in Linear Regression Models with Inequality Constraints on the Coefficients)

  • 오만숙
    • 응용통계연구
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    • 제15권1호
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    • pp.73-84
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    • 2002
  • 계수에 대한 부등 제한조건이 있는 선형 회귀모형은 경제모형에서 가장 흔하게 다루어지는 것 중의 하나이다. 이는 특정 설명변수에 대한 계수의 부호를 음양 중 하나로 제한하거나 계수들에 대하여 순서적 관계를 주기 때문이다. 본 논문에서는 이러한 부등 제한이 있는 선형회귀 모형에서 유의한 설명변수의 선택을 해결하는 베이지안 기법을 고려한다. 베이지안 변수선택은 가능한 모든 모형의 사후확률 계산이 요구되는데 본 논문에서는 이러한 사후확률들을 동시에 계산하는 방법을 제시한다. 구체적으로 가장 일반적인 모형의 모수에 대한 사후표본을 깁스 표본기법을 적용시켜 얻은 후 이를 이용하여 모든 가능한 모형의 사후확률을 계산하고 실제적인 자료에 본 논문에서 제안된 방법을 적용시켜 본다.

Breakdown Characteristics and Lifetime Estimation of Rubber Insulating Gloves Using Statistical Models

  • Kim, Doo Hyun;Kang, Dong Kyu
    • International Journal of Safety
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    • 제1권1호
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    • pp.36-42
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    • 2002
  • This paper is aimed at predicting the life of rubber insulating gloves under normal operating stresses from relatively rapid test performed at higher stresses. Specimens of rubber insulating gloves are subject to multiple stress conditions, i.e. combined electrical and thermal stresses. Two modes of electrical stress, step voltage stress and constant voltage stress are used in specimen aging. There are two types of test for electrical stress in this experiment: the one is Breakdown Voltage (BDV) test under step voltage stress and thermal stress and the other is lifetime test under constant voltage stress and temperature stress. The ac breakdown voltage defined as the break-down point of insulation that leakage current excesses a limit value, l0mA in this experiment, is determined. Because the very high variability of aging data requires the application of statistical model, Weibull distribution is used to represent the failure times as the straight line on Weibull probability paper. Weibull parameters are deter-mined by three statistical methods i.e. maximum likelihood method, graphical method and least squares method, which employ SAS package, Weibull probability paper and FORTRAN, respectively. Two chosen models for predicting the life under simultaneous electrical and thermal stresses are inverse power model and exponential model. And the constants of life equation for multistress aging are calculated using numerical method, such as Gauss Jordan method etc.. The completion of life equation enables to estimate the life at normal stress based on the data collected from accelerated aging test. Also the comparison of the calculated lifetimes between the inverse power model and the exponential model is carried out. And the lifetimes calculated by three statistical methods with lower voltage than test voltage are compared. The results obtained from the suggested experimental method are presented and discussed.

감마 일반화 선형 모형에서의 산포 모수 추정량에 대한 효율성 연구 (Comparing the efficiency of dispersion parameter estimators in gamma generalized linear models)

  • 조성일;이우주
    • 응용통계연구
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    • 제30권1호
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    • pp.95-102
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    • 2017
  • 감마 일반화 선형모형은 포아송 분포 또는 이항 분포에 기반한 일반화 선형모형에 비해 적은 관심을 받아왔다. 따라서 감마 일반화 선형모형에서는 오래전에 개발된 통계적인 기법이 아직도 사용되고 있으며, 특히 산포 모수에 대해서는 근사 추정치가 여전히 사용되고 있다. 본 논문에서는 감마 일반화 선형 모형의 산포 모수에 대해 다양한 추정량들을 알아보고 수치 연구를 통해 그들의 효율성을 비교한다. 수치 실험의 결과 최대 가능도 추정량과 Cox-Reid의 수정된 최대 가능도 추정량이 기존의 근사 추정량에 비해 좋은 성능을 보임을 확인하였다.

Probabilistic structural damage detection approaches based on structural dynamic response moments

  • Lei, Ying;Yang, Ning;Xia, Dandan
    • Smart Structures and Systems
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    • 제20권2호
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    • pp.207-217
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    • 2017
  • Because of the inevitable uncertainties such as structural parameters, external excitations and measurement noises, the effects of uncertainties should be taken into consideration in structural damage detection. In this paper, two probabilistic structural damage detection approaches are proposed to account for the underlying uncertainties in structural parameters and external excitation. The first approach adopts the statistical moment-based structural damage detection (SMBDD) algorithm together with the sensitivity analysis of the damage vector to the uncertain parameters. The approach takes the advantage of the strength SMBDD, so it is robust to measurement noise. However, it requests the number of measured responses is not less than that of unknown structural parameters. To reduce the number of measurements requested by the SMBDD algorithm, another probabilistic structural damage detection approach is proposed. It is based on the integration of structural damage detection using temporal moments in each time segment of measured response time history with the sensitivity analysis of the damage vector to the uncertain parameters. In both approaches, probability distribution of damage vector is estimated from those of uncertain parameters based on stochastic finite element model updating and probabilistic propagation. By comparing the two probability distribution characteristics for the undamaged and damaged models, probability of damage existence and damage extent at structural element level can be detected. Some numerical examples are used to demonstrate the performances of the two proposed approaches, respectively.

분포변화 검정에서 경험확률과정과 커널밀도함수추정량의 검정력 비교 (Power Comparison between Methods of Empirical Process and a Kernel Density Estimator for the Test of Distribution Change)

  • 나성룡;박현아
    • Communications for Statistical Applications and Methods
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    • 제18권2호
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    • pp.245-255
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    • 2011
  • 자료의 분포변화를 검정하는 비모수적 방법으로 경험분포함수를 이용하거나 확률밀도함수 추정량을 이용하는 두 가지 방법을 고려할 수 있다. 이 논문에서는 분포변화 검정을 위한 두가지 방법을 자세히 살펴보고 기존 연구의 결과를 정리한다. 여러 확률모형을 가정하고 분포변화 검정에 대한 모의 실험을 실시하여 두 방법에 대한 이론적 극한 성질이잘 성립하는가를 살펴본다. 검정력 비교를 통하여 모형에 따른 적절한 변화점 분석 방법을 알아본다.

Statistical Estimates from Black Non-Hispanic Female Breast Cancer Data

  • Khan, Hafiz Mohammad Rafiqullah;Ibrahimou, Boubakari;Saxena, Anshul;Gabbidon, Kemesha;Abdool-Ghany, Faheema;Ramamoorthy, Venkataraghavan;Ullah, Duff;Stewart, Tiffanie Shauna-Jeanne
    • Asian Pacific Journal of Cancer Prevention
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    • 제15권19호
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    • pp.8371-8376
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    • 2014
  • Background: The use of statistical methods has become an imperative tool in breast cancer survival data analysis. The purpose of this study was to develop the best statistical probability model using the Bayesian method to predict future survival times for the black non-Hispanic female breast cancer patients diagnosed during 1973-2009 in the U.S. Materials and Methods: We used a stratified random sample of black non-Hispanic female breast cancer patient data from the Surveillance Epidemiology and End Results (SEER) database. Survival analysis was performed using Kaplan-Meier and Cox proportional regression methods. Four advanced types of statistical models, Exponentiated Exponential (EE), Beta Generalized Exponential (BGE), Exponentiated Weibull (EW), and Beta Inverse Weibull (BIW) were utilized for data analysis. The statistical model building criteria, Akaike Information Criteria (AIC), Bayesian Information Criteria (BIC), and Deviance Information Criteria (DIC) were used to measure the goodness of fit tests. Furthermore, we used the Bayesian approach to obtain the predictive survival inferences from the best-fit data based on the exponentiated Weibull model. Results: We identified the highest number of black non-Hispanic female breast cancer patients in Michigan and the lowest in Hawaii. The mean (SD), of age at diagnosis (years) was 58.3 (14.43). The mean (SD), of survival time (months) for black non-Hispanic females was 66.8 (30.20). Non-Hispanic blacks had a significantly increased risk of death compared to Black Hispanics (Hazard ratio: 1.96, 95%CI: 1.51-2.54). Compared to other statistical probability models, we found that the exponentiated Weibull model better fits for the survival times. By making use of the Bayesian method predictive inferences for future survival times were obtained. Conclusions: These findings will be of great significance in determining appropriate treatment plans and health-care cost allocation. Furthermore, the same approach should contribute to build future predictive models for any health related diseases.