• International Journal of Contents
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• 제3권1호
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• pp.1-8
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• 2007

The distributions of the minimum correlated F-variable arises in many applied statistical problems including simultaneous analysis of variance (SANOVA), equality of variance, selection and ranking populations, and reliability analysis. In this paper, negative binomial sampling technique is employed to derive the distributions of the minimum of chi-square variables and hence the distributions of the minimum correlated F-variables. The work presented in this paper is divided in two parts. The first part is devoted to develop some combinatorial identities arised from the negative binomial sampling. These identities are constructed and justified to serve important purpose, when we deal with these distributions or their characteristics. Other important results including cumulants and moments of these distributions are also given in somewhat simple forms. Second, the distributions of minimum, chisquare variable and hence the distribution of the minimum correlated F-variables are then derived within the negative binomial sampling framework. Although, multinomial theory applied to order statistics and standard transformation techniques can be used to derive these distributions, the negative binomial sampling approach provides more information regarding the nature of the relationship between the sampling vehicle and the probability distributions of these functions of chi-square variables. We also provide an algorithm to compute the percentage points of the distributions. The computation methods we adopted are exact and no interpolations are involved.

• 지역연구
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• 제31권3호
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• pp.39-54
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• 2015

본 연구는 서울시에서 추진한 청계천 복원사업에 대한 경제적 가치를 평가하기 위해 심층출구면접조사 방식으로 수집된 자료를 바탕으로 여행비용법(Travel Cost Method, TCM)을 적용하였다. 가산자료의 특성을 감안하여 분석모형은 포아송모형(Poisson Model, PM), 음이항모형(Negative Binomial, NB), 절단된 포아송모형(Zero-truncated Poisson, ZTP), 그리고 절단된 음이항모형(Zero-truncated Negative Binomial, ZTNB)을 사용하였다. 분석결과 추정계수들은 통계적으로 유의하게 나타났고 일반적인 소비자경제이론에 부합하는 결과가 도출되었다. 조사된 자료에서 과산포현상(Over-dispersion)이 발견되었으며 모형적합도검정을 통해서 절단된 음이항모형(Zero-truncated Negative Binomial, ZTNB)이 청계천 방문객의 수요를 추정하는 데 최적모형으로 선정되었다. 생태하천복원사업인 청계천복원사업의 경제적 가치를 추정하기 위해 방문객의 연평균 방문횟수와 최적모형에서 추정된 계수를 통해서 분석한 결과 청계천의 경제적 가치는 2013년 기준으로 연간 약 1,902 원으로 추정되었다.

• International journal of advanced smart convergence
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• 제10권4호
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• pp.215-224
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• 2021

The purpose of this study is to estimate the factors that affect college students' drinking needs and spending. An analysis model to estimate the determinants affecting drinking needs was applied with a truncated Poisson model and a truncated negative binomial model. Tests to select more appropriate models of the two types were made using the comparison of log-likelihood function and the over-dispersion test. The analysis result was interpreted by applying the truncated negative binomial model as the truncated Poisson model showed over-dispersion. We also applied the Tobit model to analyze the determinantsthat affect college students' expenditure on drinking. According to the analysis, gender, grade, allowance and parental occupation were the factors influencing statistics, and gender, type of household income, and student religion were the factors influencing expenditure.

• 대한교통학회지
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• 제25권3호
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• pp.123-135
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• 2007

본 연구에서는 고속도로 트럼펫 인터체인지상에서 연결로 형식별로 일어나는 교통사고와 도로 기하구조 및 교통량등의 교통사고 요인들과의 관계를 분석하기 위해 교통사고의 분포의 특성을 분석하여 적합도 검증을 통해 모형추정시 가장 적절한 분포를 찾은 결과 음이항분포(Negative binomial distribution)가 선택되었다. 선택된 분포에 기반하여 트럼펫 인터체인지 연결로 전체, 연결로 형식별(직결, 준직결, 루프연결로) 각각의 음이항회귀모형 (Negative binomial regression model)을 개발하였다. 총 4개의 모형을 개발하고 그것의 적합도를 판단하는 여러 가지 통계값과 모형에서 예측한 값과 실제 관측값과의 차이를 분석한 결과 예측모형이 적합하게 구축되었음을 보였다. 추정된 모형의 통계적으로 유의한 변수들을 분석하여 교통사고를 설명하는데 유의한 변수들을 판단하고 이러한 변수들을 도로의 설계자가 도로 설계 및 운영에 적용하거나 교통안전계획 수립시 해당도로의 교통특성을 반영한 교통사고 절감 대책 등에 이용할 수 있을 것이다.

• 한국통신학회논문지
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• 제39C권11호
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• pp.1132-1138
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• 2014

본 논문에서는 인지 무선통신에서 스펙트럼 센싱을 위해 사용할 수 있는 세 가지 형태의 이항 필터를 제안하였다. 세 가지 필터는 이항 필터 및 부적 이항필터, 복합 이항 필터이며 이들 전달함수의 주파수 응답을 각각 분석하였으며 필터에 요구되는 감쇠를 위해 필요한 단계 수를 도출하였다. 또한 각 필터에 대해 요구되는 감쇠에 필요한 단계수를 성능으로 하여 분석한 결과 부적 이항 필터 및 복합 이항 필터가 기본 이항 필터에 비해 성능이 더 우수한 것으로 나타났다. 제안된 세 가지 필터는 통합된 직렬 구조를 가지고 있고 곱셈기가 필요 없어 구현에 용이하므로 광범위한 응용이 가능하다.

• 수산경영론집
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• 제38권2호
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• pp.79-101
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• 2007

The purpose of this study is to estimate the economic value of the Songieong Beach in Off-season, using a Individual Travel Cost Model(ITCM). Songieong Beach is located in Busan but far away from city. These days, however, the increased rate of traffic inflow to the Songieong beach and the five-day working week are reflected in the trend analysis. Moreover, people have changed psychological value. For that reason, visitors are on the increase on the beach in off-season. The ITCM is applied to estimate non-market value or environmental Good like a Contingent Valuation Method and Hedonic Price Model etc. The ITCM was derived from the Count Data Model(i.e. Poisson and Negative Binomial model). So this paper compares Poisson and negative binomial count data models to measure the tourism demands. The data for the study were collected from the Songjeong Beach on visitors over the a week from November 1 through November 23, 2006. Interviewers were instructed to interview only individuals. So the sample was taken in 113. A dependent variable that is defined on the non-negative integers and subject to sampling truncation is the result of a truncated count data process. This paper analyzes the effects of determinants on visitors' demand for exhibition using a class of maximum-likelihood regression estimators for count data from truncated samples, The count data and truncated models are used primarily to explain non-negative integer and truncation properties of tourist trips as suggested by the economic valuation literature. The results suggest that the truncated negative binomial model is improved overdispersion problem and more preferred than the other models in the study. This paper is not the same as the others. One thing is that Estimating Value of the Beach in off-season. The other thing is this study emphasizes in particular 'travel cost' that is not only monetary cost but also including opportunity cost of 'travel time'. According to the truncated negative binomial model, estimates the Consumer Surplus(CS) values per trip of about 199,754 Korean won and the total economic value was estimated to be 1,288,680 Korean won.

• 한국도로학회논문집
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• 제16권5호
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• pp.133-142
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• 2014

PURPOSES : The objective was to develop the advanced method which could not explain each observation's specific characteristic in the present negative binomial method that results in under-estimation of the standard error(t-value inflation) and affects the confidence of whole derived results. METHODS : This study dealt with traffic accidents occurring within interchange segment on highway main line with RPNB(Random Parameter Negative Binomial) method that enables to take account of heterogeneity. RESULTS : As a result, AADT and lighting installation type on the road were revealed to have random parameter and in terms of other geometric variables, all were derived as fixed parameter(same effect on every segment). Also, marginal effects were adapted to analyze the relative effects on traffic accidents. CONCLUSIONS : This study proves that RPNB method which considers each observation's specific characteristics is better fitted to the accident data with geometrics. Thus, it is recommended that RPNB model or other methods which could consider the heterogeneity needs to be adapted in accident analysis.

• 한국도로학회논문집
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• 제17권5호
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• pp.39-46
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• 2015

PURPOSES: The operational characteristics of roundabouts are generally influenced by location as well as traffic volume. The goal of this study is to develop urban and rural roundabout accident models and to discuss safety improvement guidelines based on the model. METHODS : To analyze accidents, count data models are utilized in this study. This study used accident data from 2010 to 2013 for 56 roundabouts collected from the Traffic Accident Analysis System (TASS) of Road Traffic Authority. Poisson and negative binomial regression models were developed for this study using NLOGIT 4.0. RESULTS : The main results are as follows. First, the hypotheses that there are distributional differences in the number of accidents and injuries/fatalities among rural and urban roundabouts were accepted. Second, Poisson and negative binomial regression accident models, which were all statistically significant, were developed. Seven independent variables, which were statistically significant, were adopted. Third, the common variable of models was evaluated to be traffic volume. CONCLUSIONS : This study developed two negative binomial roundabout accident models and suggested some accident reduction strategies. The results are expected to give some implications to the safety improvement of roundabout.

• 한국안전학회지
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• 제29권6호
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• pp.151-157
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• 2014

This study deals with the rear-end collision at roundabouts. The purpose of this study is to develop the accident models of rear-end collision in Korea. In pursuing the above, this study gives particular attention to developing the appropriate models using Poisson, negative binomial model, ZAM, multiple linear and nonlinear regression models, and statistical analysis tools. The main results are as follows. First, the Vuong statistics and overdispersion parameters indicate that ZIP is the most appropriate model among count data models. Second, RMSE, MPB, MAD and correlation coefficient tests show that the multiple nonlinear model is the most suitable to the rear-end collision data. Finally, such the independent variables as traffic volume, ratio of heavy vehicle, number of circulatory roadway lane, number of crosswalk and stop line are adopted in the optimal model.

• 한국안전학회지
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• 제27권6호
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• pp.178-184
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• 2012

This study deals with the traffic accidents by weather condition. The objectives are to comparatively analyze the characteristics, and to develop the models of traffic accidents by weather condition. In pursuing the above, this paper gives particular attentions to testing the differences between two groups, and developing the models(Poisson and negative binomial regression) using the data of domestic circular intersections. The main results are as follows. First, three Poisson models and one negative binomial models which were all statistically significant were developed using the number of accident and EPDO by the clear weather and other as the dependant variables. Second, the differences between two models were comparatively analyzed using the chosen variables. This paper might be expected to give some implications to traffic safety policy-making to reduce and prevent the traffic accidents in circular intersections.