• 대한수학회논문집
• /
• 제18권4호
• /
• pp.725-736
• /
• 2003

Let $A_1,{\;}A_2,...,A_n$ be a sequence of events on a given probability space. Let $m_n$ be the number of those $A'_{j}s$ which occur. Upper bounds of P($m_n{\;}\geq{\;}1) are obtained by means of probability of consecutive terms which reduce the number of terms in binomial moments $S_2,n,S_3,n$ and $S_4,n$.

• 수산경영론집
• /
• 제43권2호
• /
• pp.41-49
• /
• 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.

• Ocean and Polar Research
• /
• 제36권3호
• /
• pp.289-302
• /
• 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.

• Ocean and Polar Research
• /
• 제39권1호
• /
• pp.51-59
• /
• 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).

• 수산경영론집
• /
• 제38권2호
• /
• pp.79-101
• /
• 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.

• 응용통계연구
• /
• 제31권6호
• /
• pp.733-749
• /
• 2018

어떠한 연구에서 관심의 대상이 되는 관찰치가 부분적으로 관측 가능할 때 표본선택의 문제가 일어난다. 이러한 자료를 분석하기 위해 헤크만은 표본선택 모형을 개발하였고 이변량 정규분표의 가정 하에 최대우도방법을 사용하여 모수를 추정하였다. 최근 이항자료와 포아송 자료에 대한 표본선택모형이 제안되었다. 이를 분포조정에 기초하여 과대산포 자료에 대한 모형으로 확장하고자 한다. 표본선택이 없는 과대산포 자료는 흔히 음이항 분포로 분석되어진다. 따라서 음이항 분포를 이용하고 분포조정을 도입한 과대산포 자료에 대한 새로운 모형을 제시하고자 한다. 실제 자료를 이용하여 분석을 하였다. 모의실험 결과 프로파일 우도함수를 이용하여 모수에 대해 추정한 결과는 안정적이다.

• 호남수학학술지
• /
• 제5권1호
• /
• pp.251-260
• /
• 1983

• 전력전자학회논문지
• /
• 제21권4호
• /
• pp.328-334
• /
• 2016

This paper examines the reliability of a VSC-HVDC valve based on a modular multilevel converter (MMC) HVDC system. The main objective of this paper is to determine the redundancy of the MMC valve. Several prediction methods are introduced, but the binomial failure method is selected to be used. To determine the availability and reliability prediction of MMC valve, which comprises a DC/DC converter, a gate driver, a capacitor, and an IGBT, the failure data of the MMC module are used as the tracking data according to the experimental result. This method uses a simplified equation to find the valve redundancy by transforming the binomial function to De Moivre's formula. This method is the first to be used to find the valve margin.

• 산업경영시스템학회지
• /
• 제32권3호
• /
• pp.127-134
• /
• 2009

RAM(Reliability, Availability, Maintainability) is important performance factor to keep combat readiness and optimize operational and maintenance cost of weapon systems. This paper discusses the method to establish RAM for combat readiness by using field failure data from similarity equipments. Operational availability is estimated from a binomial distribution function of user's operational conditions such as combat readiness preservation probability, operational rate, operational availability and total number of equipment. Reliability and maintainability is estimated from field failure data from similarity equipment to accomplish operational availability. The effectiveness of established RAM is verified through analysis of combat readiness preservation probability and mission reliability. A case study of weapon system illustrates the process of the proposed method.

• 한국응용곤충학회지
• /
• 제37권2호
• /
• pp.151-157
• /
• 1998

충남부여에 위치한 임업화훼단지내의 유리온실에서 아치형재배(Arching method)장미에 피해를 주는 점박이응애(Tetranychus urticae Koch)의밀도를 엽당 응애수로 조사하였다. 이항표본 조사법은 엽당 점박이응애의 평균밀도(m)와 점박이응애가 T 개체보다 많이 존재하는 엽의 비율(${P}_{T}$)과의 관계를 기본으로 하며, T는 경험적 이항분포모형(ln(m)=$\alpha$+$\beta$1n(-1n(1-${P}_{T}$)))에서의 tally threshold 로서, 본 실험에서는 1, 3, 5, 7, 9를 사용하였다. 일반적으로 표본단위 수의증가는 T와 상관없이 이항분포 모형의 정확도에 영향을 거의 주지 않게 된다. 본 실험에서는 상이한 T에 따라 이항분포모형의 정확도가 차이가 났으며 T가 증가할수록 정확도가 높아졌다. 본 실험결과 점박이응애의 밀도추정을 위한 이항분포모형의 정확도를 비교한 결과, T=7인 경우가 최적의 tally threshold인 것으로 나타났다. 또한 이항분포조사법의 검정을 위하여, 동일한 포장의 독립적인 표본을 추출, 조사하였다. 본 실험결과 이항표본조사법을 이용한 상업적 유리온실의 아치형재배 장미해충인 점박이응애 평균밀도 추정에는 T=7인 경우가 가장 적절한 것으로 사료된다.