• 제목/요약/키워드: Standard normal Distribution

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Monte Carlo 기법을 이용한 교통카드기반 수도권 지하철 통행배정 (Trip Assignment for Transport Card Based Seoul Metropolitan Subway Using Monte Carlo Method)

  • 이미영;남두희
    • 한국ITS학회 논문지
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    • 제22권2호
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    • pp.64-79
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    • 2023
  • 본 연구는 Monte Carlo 기법을 교통카드기반의 수도권 지하철의 통행배정 문제에 적용하는 과정을 검토하였다. 연구는 우선 교통카드에서 역 간 표본의 통행에서 나타나는 통행시간에 대하여 프로빗 모형의 기반이 되는 정규분포의 가정을 적용하였다. Monte Carlo 통행배정은 역 간 통행에 대하여 평균과 표준편차를 산정하고 이를 개별 링크의 차내시간과 환승의 보행 및 배차간격의 가중치로 적용하는 방안을 제안하였다. 샘플 수가 50 이하로 낮게 나타나는 장거리 통행은 유사 통행의 특성을 이전하는 방안으로 적용하였다. 수도권 지하철 네트워크에 대하여 두 가지 방향에서 연구 결과를 검토하였다. 하나는 선릉-성수의 단일 역 간 통행에 대하여 차내시간 및 환승시간에 랜덤샘플링을 적용하는 방안으로 검증하였다. 다음으로 수도권 지하철 전체에 대해서는 역 간 통행 샘플수에 따라서 50 이상은 역 간 정규분포의 가정을 그대로 수용하였다. 샘플수가 50 이하의 장거리 통행은 역 간 최소거리가 122 (Km)에서 표본의 균등성이 확보되는 상황으로 판단하고 이 거리에서 나타나는 카드자료의 역 간 평균과 표준편차를 적용하였다. 사례연구로서 교통카드자료로 구축된 수도권 지하철을 네트워크를 대상으로 단일OD 및 전체 OD의 통행배정의 결과를 도출하였다. 한편 통행에 대한 샘플링이 부족한 상황에서 추가적인 연구가 필요한 것으로 나타났다.

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.

수도직파재배에서 토양의 물리성 변화가 용수량과 생육 수량에 미치는 영향에 관한 연구 (A Study on the Variation of Soil Physical Properties on the water requirement, growth, and yield in the direct Sowing culture of rice)

  • 김철수;김시원
    • 물과 미래
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    • 제10권2호
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    • pp.81-90
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    • 1977
  • The research is conducted to study the effect of the soil physical properties in the direct sowing culture on the water requirement, growth, and yield of rice with Early-Tongil at the experimental paddy field of the Sangju agri. and seri. junior college in Keyngbuk province from 6th May to 15th September in 1977. The experimental plots are designed with the four plots which are non-irrigated standard (plowing to 15cm), non-irrigated deep lowed (plowing to 25cm), irrigated standard (plowing to 15cm), and irrigated deep plowing plot (plowing to 25cm) and also each plot is repreated four times by the split plot design. The results obtained are summarized as follows: 1) The soil sample was ML to 10cm depth from ground surface and those from 10cm to 20cm depth and from 20cm to 30cm were CL. Each specific gravity was 2. 6, 2. 6 and 2. 7. 2) The weather during culturing period was the sane as the normal year of mean temperature. The precipitation was little and the distribution of it was disordered comparing to normal year but the heavy sunshine gave good effect on ripening. 3) Percolation loss was increased more at the non-irrigated plot than at the irrigated plot, and that of deep-plowed plot was increased more. 4) Grain yield per 10a. of non-irrigated deep plowed plot was 898kg, it was greated than others but there wa no significance. 5) A significant difference in the number of spikelets per panicle was found between nonirrigated plot and irrigated plot, and the number of spiklelets per panicle at the nonirrigated plot was more than that of the irrigated plot. But there was no significance in the other yield components-number of panicle, fertility abd ripening ratio-at the irrigated plot, ut weight of 100 grains was higher at non-irrigated plot. 6) Yield and growth at the deep plowed plot were higher than those of standard plowed plot.

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한반도 연안 수온자료의 확률분포함수 추정 (Estimation of Probability Distribution Functions for Water Temperature Data in Korean Coasts)

  • 정신택;조홍연;고동휘;오남선;손경표
    • 한국해안·해양공학회논문집
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    • 제25권1호
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    • pp.11-19
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    • 2013
  • 수온자료는 다수의 첨두를 가진 분포형태를 보이고 있기 때문에 정규분포로 가정하는 경우 분석에 큰 오차가 수반된다. 본 연구에서는 쌍봉 분포함수 형태인 가우스 혼합분포 함수를 수온의 분포함수로 가정하여 최적매개변수를 추정하고, 추정된 최적 매개변수와 자료의 기본적인 통계정보(평균 및 분산 등)의 관계분석을 수행하였다. 또한 자료의 주 특성값인 평균, 표준편차, 왜곡도로부터 가우스 혼합분포 매개변수인, ${\alpha}_1$, ${\mu}_1$, ${\sigma}_1$, ${\alpha}_2$, ${\mu}_2$, ${\sigma}_2$를 산정하여 수온 자료의 빈도분포를 산정하는 추정공식을 개발하였다. 개발된 추정공식은 RMS 오차가 5% 정도로 관측 자료를 이용한 결과와 우수한 일치를 보이고 있다.

와이블 분포함수를 이용한 하수관로 노후도 추정 (Estimation of sewer deterioration by Weibull distribution function)

  • 강병준;유순유;박규홍
    • 상하수도학회지
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    • 제34권4호
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    • pp.251-258
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    • 2020
  • Sewer deterioration models are needed to forecast the remaining life expectancy of sewer networks by assessing their conditions. In this study, the serious defect (or condition state 3) occurrence probability, at which sewer rehabilitation program should be implemented, was evaluated using four probability distribution functions such as normal, lognormal, exponential, and Weibull distribution. A sample of 252 km of CCTV-inspected sewer pipe data in city Z was collected in the first place. Then the effective data (284 sewer sections of 8.15 km) with reliable information were extracted and classified into 3 groups considering the sub-catchment area, sewer material, and sewer pipe size. Anderson-Darling test was conducted to select the most fitted probability distribution of sewer defect occurrence as Weibull distribution. The shape parameters (β) and scale parameters (η) of Weibull distribution were estimated from the data set of 3 classified groups, including standard errors, 95% confidence intervals, and log-likelihood values. The plot of probability density function and cumulative distribution function were obtained using the estimated parameter values, which could be used to indicate the quantitative level of risk on occurrence of CS3. It was estimated that sewer data group 1, group 2, and group 3 has CS3 occurrence probability exceeding 50% at 13th-year, 11th-year, and 16th-year after the installation, respectively. For every data groups, the time exceeding the CS3 occurrence probability of 90% was also predicted to be 27th- to 30th-year after the installation.

방진마스크의 안면부 누설률에 관한 연구 (Inward Leakage Test for Particulate Filtering Respirators in Korea)

  • 한돈희
    • 한국환경보건학회지
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    • 제30권5호
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    • pp.432-439
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    • 2004
  • Korean certification regulation for particulate filtering respirators requires inward leakage (IL) test as European Standards (EN) and the standard levels of regulation are the same as those of EN. This study was conducted to evaluate particulate filtering respirators being commercially used in the market by using IL and assess the characteristics of IL. The study began with discussing the concept of IL, comparison of IL with fit test, and IL measurement method. Three brands of half masks and 10 brands of filtering facepieces (two top class, four 1st class and four 2nd class), total 13 brands respirators, and 10 test panels (subjects) who were classified in 9 facial grids in accordance with face length and lip length, were selected for IL test. IL tests were conducted in the laboratory of 3M Innovation Center which was established by EN standard. As expected ILs of half masks were lower than those of filtering facepiece mask. ILs of half masks and some filtering facepieces were significantly different in manufacturers. ILs of 1st class filtering facepieces were found to be much more than those of 2nd class and thus the result would cause wearers to get confused to select a mask. Four of six brands being no compliance with standards were thought that they should be tested again for certification because of a lot of differences from standards. There were no significant differences among ILs of five exercises. In 6 out of 13 brands lognormal distribution of ILs may be a better fit distribution and in 7 brands both lognormal and normal distributions were rejected. The result indicates that geometric mean may be better than arithmetic mean to establish standard.

레이저빔 반사 화상을 이용한 연마면 거칠기 측정법에 관한 연구 (A Study on Roughness Measurement of Polished Surfaces Using Reflected Laser Beam Image)

  • ;임한석;김화영;안중환
    • 한국정밀공학회지
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    • 제16권2호통권95호
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    • pp.145-152
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    • 1999
  • This paper presents the principle and experimental results of a non-contact surface roughness measurement by means of screen projected pattern of lase beam reflected from a polished surface. In the reflected laser beam pattern especially from a fine surface like ground or polished one, light intensity varies from the center fo the image to its boundary as the Gaussian distribution. The standard deviation of a light intensity distribution is assumed to be a good non-contact estimator for measuring the surface roughnes, because the light reflectivity is known to be well related with the surface roughness. This method doesn't need to discriminate between the specularly reflected light and the diffusely reflected one, whereas the scattered laser intensity method must do. Nor it needs to adjust the change of light intensity caused by environmental lights or specimen materials. Reflected laser beam pattern narrowly spreads out in the vertical direction to tiny scratches on the polished surface due to abrasives. The deeper the scratch the more the dispersion, which means the rougher surface. The standard deviation of the pattern is nearly in proportion to the surface roughness. Measurement errors by this method are shown to be below 10 percent compared with those obtained by a common contact method. The inclination of measuring unit from the normal axis causes the measurement errors up to 10 percent for an angle of 4 degree. Therefore the proposed method can be used as an on-the-machine quick roughness estimator within 10 percent measurement error.

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기성복의 최적 사이즈 시스템 개발을 위한 연구 - 학령기 여아를 중심으로 - (A Study on Developing the Optimal Sizing System for Ready-to-wear - Based on Elementary School Girls -)

  • 김난도;이상열;김선영;남윤자
    • 한국의류학회지
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    • 제29권8호
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    • pp.1102-1113
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    • 2005
  • The propose of this study is to develop the optimal sizing system of ready-to-wear f3r elementary school girls using a newly invented statistical technique. The body measurements was classified by the method that equalizes the distribution of the subjects using the probability density function, to theoretically systemize a method to determine a size range of ready-to-wear for elementary school girls between 6 to 12 years old. The statistical method were 1) The total of 11 height groups, which size interval from one another is 6 cm that is an average height gap between each age. 2) In order to determine an approximate figure (m ${\times}$ n) to establish the appropriate sizes far each height group that fit to the combinations of bust and hip girth, which based on their means and standard deviations on the probability density curve to produce the standard normal distribution. 3) m and n were aligned by 4cm -the grading increments used for patterns making- and determined the size ranges by confirming the approximate figures of m and n. 4) The representative values were determined by an area ratio calculated by dividing the area determined from the range of bust and hip girth with the representative value. Considering the characteristics of subjects' distribution, the area ratios was used. 5) Weight was calculated by seeking a growth exponent for each age and multiplying it by the number of girls that fit to each size range. As sections that show the highest weight are more likely sought by the consumers, these sections were determined as the optimal size standards. 6) This optimal sizing system consists of sizes determined by the optimal size standards and its sizes are marked with height, bust and hip girth.

Optimal Algorithms for Voltage Management in Distribution Systems Interconnected with New Dispersed Sources

  • Rho, Dae-Seok;Kook, Kyung-Soo;Wang, Yong-Peel
    • Journal of Electrical Engineering and Technology
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    • 제6권2호
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    • pp.192-201
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    • 2011
  • The optimal evaluation algorithms for voltage regulation in the case where new dispersed sources are operated in distribution systems are studied. Handling the interconnection issues for proper voltage managements are often difficult and complicated because professional skills and enormous amounts of data during evaluations are needed. Typical evaluation algorithms mainly depend on human ability and quality of data acquired, which inevitably cause the different results for the same issue. Thus, unfair and subjective evaluations are unavoidable. In order to overcome these problems, we propose reasonable and general algorithms based on the standard model system and proper criterion, which offers fair and objective evaluation in any case. The proposed algorithms are divided into two main themes. One is an optimal algorithm for the voltage control of multiple voltage regulators in order to deliver suitable voltage to as many customers as possible, and the other is a proper evaluation algorithm for the voltage management at normal and emergency conditions. Results from a case study show that proposed methods can be a practical tool for the voltage management in distribution systems including dispersed sources.

내용 안전치를 고려한 서울지방의 단시간 확률 강우량산정에 관한 연구 (A Study on Determination of Probability Rainfall-Depth of Short Duration as Consideringthe Project Life and the Factor of Safety in Seoul)

  • 이원환;김재한;김채원
    • 물과 미래
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    • 제9권1호
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    • pp.101-105
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    • 1976
  • 본 연구는 수공구조물의 내용년수와 안전율을 고려한 서울지방의 단시간 확률항우량을 산정한 것이다. 서울지방에서 기왕의 자기우량기록지(1915년∼1974년까지 60년간분)를 모집하여 단시간 항우계속시간(10분∼120분)별해년 최대치를 적출 하였다. 적출된 항우량자료는 빈도해석을 통하여 자료집단별 도수를 결정한 후 그 도수가 정규화되도록 시도하였으며 정규분포의 적합도검정 방법에 있어 유의수준 5%로 보고 X2-test를 행하여 최적분포별을 설정하였다. 설정된 최적분포형의 매개변수(평균치, 표준편차)를 적용하여 본 논문에서 유도제시한 Graph에 의하여 확률항우량을 도해법에 의하여 구하였다.

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