• 제목/요약/키워드: poisson and negative binomial model

검색결과 91건 처리시간 0.022초

가산자료모형을 이용한 서해 태안군 유어객의 편익추정 (Estimating the Economic Value of Recreation Sea Fishing in the Yellow Sea: An Application of Count Data Model)

  • 최종두
    • 자원ㆍ환경경제연구
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    • 제23권2호
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    • pp.331-347
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    • 2014
  • 본 연구는 서해에 위치한 태안군을 방문하는 유어객의 방문 편익을 분석하기 위하여 개별여행비용법과 가산자료모형을 이용하여 수요모형을 추정하고 경제적 가치를 측정하였다. 여행객방문속성을 감안하여 분석모형으로 포아송모형(Poisson Model, PM), 음이항모형(Negative Binomial, NB), 절단된 포아송모형(Truncated Poisson Model, TPM), 절단된 음이항모형(Truncated Negative Binomial, TNB)을 분석에 이용하였다. 분석결과 추정계수들은 통계적으로 유의하게 나타났으며, 경제이론에도 부합되는 결과를 도출하였다. 과산포(overdispersion)현상은 발견되지 않았으며, 모형적합도검정을 통하여 절단된 포아송모형이 적정모형으로 선정되었다. 또한, 서해 태안군 해역내 유어활동의 경제적가치를 추정하기 위하여 유어객의 연평균 출조횟수와 최적모형으로 선정된 절단된포아송모형(TPM)으로 분석한 결과 1인 1회 출조당 경제적 가치는 254,453원이며, 1인당 연간 총 경제적 가치는 1,536,896원으로 도출되었다.

The UMVUE and MLE of the Tail Probability in Discrete Model

  • Woo, Jung-Soo
    • Journal of the Korean Data and Information Science Society
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    • 제17권4호
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    • pp.1405-1412
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    • 2006
  • We shall derive the UMVUE of the tail probability in Poisson, Binomial, and negative Binomial distributions, and compare means squared errors of the UMVUE and the MLE of the tail probability in each case.

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생태하천복원사업 전후 경제적 가치 비교분석 (Ex-ante and Ex-post Economic Value Analysis on Ecological River Restoration Project)

  • 이윤;장훈;윤태연;정영근;박희영
    • 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.

Modelling Count Responses with Overdispersion

  • Jeong, Kwang Mo
    • Communications for Statistical Applications and Methods
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    • 제19권6호
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    • pp.761-770
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    • 2012
  • We frequently encounter outcomes of count that have extra variation. This paper considers several alternative models for overdispersed count responses such as a quasi-Poisson model, zero-inflated Poisson model and a negative binomial model with a special focus on a generalized linear mixed model. We also explain various goodness-of-fit criteria by discussing their appropriateness of applicability and cautions on misuses according to the patterns of response categories. The overdispersion models for counts data have been explained through two examples with different response patterns.

A Study on the Determinants of Drinking Demand and Expenditure of College Students

  • Lee, Seung-gil
    • 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.

국내 회전교차로의 추돌사고 모형 개발 (Developing Rear-End Collision Models of Roundabouts in Korea)

  • 박병호;백태헌
    • 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.

가산자료모형을 이용한 송정 해수욕장의 경제적 가치추정: - 비수기 해수욕장의 가치추정 - (Estimating the Economic Value of the Songieong Beach Using A Count Data Model: - Off-season Estimating Value of the Beach -)

  • 허윤정;이승래
    • 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.

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여행비용모형을 이용한 전남 바다목장 해역 유어활동의 경제적 가치 추정 (Estimating the Economic Value of Recreational Fishing in the Jeonnam Marine Ranching Area)

  • 서주남;김도훈;강성경
    • 수산경영론집
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    • 제43권2호
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    • pp.41-49
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    • 2012
  • This study aimed to estimate the economic value of the recreational fishing in the Jeonnam marine ranching area as a part of the total socioeconomic evaluation of the Jeonnam marine ranching program. A travel cost method was applied to the estimation of economic value of the recreational fishing in the Jeonnam marine ranching area and input variables included annual fishing trip days, average travel cost per trip, average catch amount, monthly income, marriage, age, and personal perception on the marine ranching program. In the analysis, due to its characteristic of count data, both poisson model and negative binomial model were used. Model results indicated that a negative binomial model was statistically more suitable than the poisson model as the overdispersion problem occurred in the poisson model. All signs of the estimated parameters were estimated as previous studies showed. Based on the results, the economic value per trip of the recreational fishing in the Jeonnam marine ranching area was estimated to be 145,000 won and the annual total economic value of the recreational fishing in the Jeonnam marine ranching area was analyzed to be 2,514,000 won. In addition, the change of total value by catch rate showed that the economic value could be increased by 180,900 won as the catch increased by one kilogram.

도시 및 지방 회전교차로 사고 발생 모형 (Urban and Rural Roundabout Accident Occurrence Models)

  • 백태헌;임진강;박병호
    • 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.

국내 4지 원형교차로 법규위반별 사고모형 개발 (Development of Accident Model by Traffic Violation Type in Korea 4-legged Circular Intersections)

  • 박병호;김경용
    • 한국안전학회지
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    • 제30권2호
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    • pp.70-76
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    • 2015
  • This study deals with the traffic accident of circular intersections. The purpose of the study is to develop the accident models by traffic violation type. In pursuing the above, this study gives particular attention to analyzing various factors that influence traffic accident and developing such the optimal models as Poisson and Negative binomial regression models. The main results are the followings. First, 4 negative binomial models which were statistically significant were developed. This was because the over-dispersion coefficients had a value greater than 1.96. Second, the common variables in these models were not adopted. The specific variables by model were analyzed to be traffic volume, conflicting ratio, number of circulatory lane, width of circulatory lane, number of traffic island by access road, number of reduction facility, feature of central island and crosswalk.