• Title/Summary/Keyword: truncated Poisson

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

  • Heo, Yun-Jeong;Lee, Seung-Lae
    • The Journal of Fisheries Business Administration
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    • v.38 no.2
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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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ON SIZE-BIASED POISSON DISTRIBUTION AND ITS USE IN ZERO-TRUNCATED CASES

  • Mir, Khurshid Ahmad
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.3
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    • pp.153-160
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    • 2008
  • A size-biased Poisson distribution is defined. Its characterization by using a recurrence relation for first order negative moment of the distribution is obtained. Different estimation methods for the parameter of the model are also discussed. R-Software has been used for making a comparison among the three different estimation methods.

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Hurdle Model for Longitudinal Zero-Inflated Count Data Analysis (영과잉 경시적 가산자료 분석을 위한 허들모형)

  • Jin, Iktae;Lee, Keunbaik
    • The Korean Journal of Applied Statistics
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    • v.27 no.6
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    • pp.923-932
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    • 2014
  • The Hurdle model can to analyze zero-inflated count data. This model is a mixed model of the logit model for a binary component and a truncated Poisson model of a truncated count component. We propose a new hurdle model with a general heterogeneous random effects covariance matrix to analyze longitudinal zero-inflated count data using modified Cholesky decomposition. This decomposition factors the random effects covariance matrix into generalized autoregressive parameters and innovation variance. The parameters are modeled using (generalized) linear models and estimated with a Bayesian method. We use these methods to carefully analyze a real dataset.

Evaluating the Economic Damages to Anglers of the Marine Recreational Charter due to the Herbei Spirit Vessel Oil Spill (허베이 스피리트호의 기름유출에 따른 바다유어낚시어선 이용객의 경제적 손실평가연구)

  • Pyo, Heedong
    • Ocean and Polar Research
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    • v.36 no.3
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    • pp.289-302
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    • 2014
  • This paper aims to evaluate the indirect economic damages to anglers of the marine recreational charter caused by marine pollution associated with the Herbei Spirit vessel, which spilled 12,547 kl of crude oil in Taean coastal areas in December 2007. In order to evaluate the indirect cost to anglers of the charter fishing, consumer surplus for charter fishing is estimated using a Poisson model (PM), a negative binomial model (NBM), a truncated Poisson model (TPM), and a truncated negative binomial model (TNBM), which account for the characteristics of count data (non-negative discrete data), for individual travel cost method (ITCM). Because of over-dispersion problem in PM and TPM, NBM and TNBM are considered to be more appropriate statistically. All parameters such as income, fishing careers, travel cost and catch that are estimated are statistically significant and theoretically valid. Based on TNBM results, consumer surplus per trip and per person was estimated to be 277 thousand won, total consumer surplus per person and per year about 2.3 million won, and the marginal effect of consumer surplus on % changes in catch rate is about 33 thousand won. The consumer surplus was converted into total indirect economic damages for aggregation which are evaluated to be 125 billion won, reflecting the number of anglers and damage rate.

Estimating Consumer Surplus for Recreational Sea Fishing using Individual Travel Cost Method (개별여행비용법을 이용한 바다 유어 낚시의 소비자 잉여추정)

  • Pyo, Hee-Dong;Park, Cheol-Hyung;Chung, Jin-Ho
    • Ocean and Polar Research
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    • v.30 no.2
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    • pp.141-148
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    • 2008
  • This paper aims at estimating consumer surplus for recreational sea fishing in Tongyeong coastal area using individual travel cost method. A Poisson model (PM), a negative binomial model (NBM), a truncated Poisson model (TPM), and a truncated negative binomial model (TNBM) are applied for individual travel cost method in order to account characteristics of count data (non-negative discrete data.) The survey was conducted for 462 inshore anglers using personal interview method in Tongyeong during July and October 2007. Respondents were asked about how often they do fishing, travel costs, catch, income, and so on. Because of over-dispersion problem in PM and TPM, NBM and TNBM were considered to be more appropriate statistically. All parameters estimated are statistically significant and theoretically valid. As the results based on TNBM, consumer surplus per trip was estimated to be 183,486 won, total consumer surplus per person and per year 3,399,658 won, and the marginal effect of consumer surplus on % changes in catch rate is 185,372 won.

Estimating the Economic Value of the East Sea Beach Using Individual Travel Cost Method (개별여행비용법(TCM)을 이용한 동해안 해수욕장의 경제적 가치추정)

  • Pyo, Heedong
    • Ocean and Polar Research
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    • v.39 no.1
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    • pp.51-59
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    • 2017
  • The purpose of this paper is to estimate the economic value of beaches which are the major part of the East Sea Coast. ITCM (Individual Travel Cost Method) is applied to estimate the economic value of its beaches using Poisson, negative binomial, truncated Poisson and truncated negative binomial models. The consumer surplus during length of stay per capita is 214,088 won in beaches overall on the East Sea Coast, 206,398 won in Gangwon-do beaches and 271,171 won in Gyeongbuk/Ulsan beaches. Annual total economic value of its beaches considering the number of visitors at beaches is 6,269 billion won (3,970 billion won in Kangwondo beaches, 2,299 billion won in Kyungbuk/Ulsan beaches).

Estimating the Economic Value of Boat Fishing Experience Activity Using Travel Cost Method: Focused on Jeju Island's Chagwido (여행비용법에 의한 선상낚시 체험활동의 경제적 가치 추정 : 제주 차귀도를 대상으로)

  • Kang, Seok-Kyu
    • The Journal of Fisheries Business Administration
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    • v.47 no.2
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    • pp.33-41
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    • 2016
  • The purpose of this study is to estimate the economic value of boat fishing experience marine tourism activity in Jeju Island's Chagwido. The economic value is estimated as consumer surplus using count data models including the truncated Poisson model and the truncated negative binominal distribution model. This study collects the effective 504 questionnaires from boat fishing experience tourists in Jeju Island's Chagwido. The truncated negative binominal distribution model was statistically more suitable and valid than other models. The truncated negative binominal distribution model was applied to estimate consumer surplus as economic value from boat fishing experience tourism activity in Jeju Island's Chagwido. A consumer surplus value per trip was estimated as about 209,900 won. The annual economic value from boat fishing experience tourism activity was estimated as 273,700 won in Jeju Island's Chagwido. Consequently, boat fishing experience marine tourism activity has a very large economic value in Jeju Island.

TRUNCATED SOFTWARE RELIABILITY GROWTH MODEL

  • Prince Williams, D.R.;Vivekanandan, P.
    • Journal of applied mathematics & informatics
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    • v.9 no.2
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    • pp.761-769
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    • 2002
  • Due to the large scale application of software systems, software reliability plays an important role in software developments. In this paper, a software reliability growth model (SRGM) is proposed. The testing time on the right is truncated in this model. The instantaneous failure rate, mean-value function, error detection rate, reliability of the software, estimation of parameters and the simple applications of this model are discussed .

The Comparative Study for Truncated Software Reliability Growth Model based on Log-Logistic Distribution (로그-로지스틱 분포에 근거한 소프트웨어 고장 시간 절단 모형에 관한 비교연구)

  • Kim, Hee-Cheul;Shin, Hyun-Cheul
    • Convergence Security Journal
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    • v.11 no.4
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    • pp.85-91
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    • 2011
  • Due to the large-scale application software syslmls, software reliability, software development has animportantrole. In this paper, software truncated software reliability growth model was proposed based on log-logistic distribution. According to fixed time, the intensity function, the mean value function, the reliability was estimated and the parameter estimation used to maximum likelihood. In the empirical analysis, Poisson execution time model of the existiog model in this area and the log-logistic model were compared Because log-logistic model is more efficient in tems of reliability, in this area, the log-logistic model as an alternative 1D the existiog model also were able to confim that you can use.