• 대한교통학회지
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• 제4권2호
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• pp.3-14
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• 1986

This study was undertaken to develop the gap acceptance model of left-turn drivers on the major road at intersections. Typical unsignalized intersections on the two-lane and four-lane streets in Masan City were selected for the study intersection. For the gap distribution model, the lognormal, negative exponential, shifted negative exponential, and Gamma distributions were tested using the x2 and K-S tests. Based on the results for both streets, it was concluded that among the distributions tested the lognormal distribution represented the gap distribution best, followed by the shifted negative exponential distribution. Stochastic models of the gap-acceptance behavior of left-turn drivers on the major road at unsignalized intersections were programmed using SLAM Ⅱ, a simulation computer language. A stochastic model was selected for the gap-acceptance behavior to compare the results of the simulation with the observed data. The model assumes that a fixed critical acceptance gap is assigned to each left-turn driver based on a normal distribution and the gap distribution of the opposing traffic stream follows the shifted negative exponential distribution.

• 한국ITS학회 논문지
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• 제18권5호
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• pp.79-90
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• 2019

본 연구에서는 국내의 연속류 자전거도로에 대한 차두시간 분포 모형을 개발하고자 하였다. 현장조사를 통해 수집된 데이터를 교통량으로 구분하여 분석하였으며, 교통량의 기준은 전체 교통량을 분포를 고려하여 1분당 8대 미만은 낮은 수준의 교통량으로 하고 8대 이상은 높은 수준의 교통량으로 구분하였다. 차두시간의 집계간격은 기존의 자동차교통류에서 일반적으로 적용해오던 0.5초를 적용하였다. 적용된 분포는 기본적인 정규분포와 함께 음지수분포, 전이된 음지수분포, 피어슨 III분포이며, 카이스퀘어 검정 분석결과 음지수분포와 전이된 음지수분포에서 방향과 교통량 구분 모두에서 이론치와 관측치간에 적합한 것으로 나타났다. 제시된 자전거 차두시간 분포모형의 적정성을 판단하기 위한 분석결과, 역시 동일하게 음지수분포와 전이된 음지수분포가 적합한 것으로 나타났다.

• Communications for Statistical Applications and Methods
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• 제25권4호
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• pp.355-371
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• 2018

The two parameter negative exponential distribution has many practical applications in queuing theory such as the service times of agents in system, the time it takes before your next telephone call, the time until a radioactive practical decays, the distance between mutations on a DNA strand, and the extreme values of annual snowfall or rainfall; consequently, has many applications in reliability systems. This paper considers an estimation problem of stress-strength model with two parameter negative parameter exponential distribution. We introduce a maximum penalized likelihood method, Bayes estimator using Lindley approximation to estimate stress-strength model and compare the proposed estimators with regular maximum likelihood estimator for complete data. We also introduce a maximum penalized likelihood method, Bayes estimator using a Markov chain Mote Carlo technique for incomplete data. A Monte Carlo simulation study is performed to compare stress-strength model estimates. Real data is used as a practical application of the proposed model.

• 생태와환경
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• 제45권4호
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• pp.420-443
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• 2012

An Individual-Based Model (IBM) was developed by employing natural and toxic survival rates of individuals to elucidate the community responses of benthic macroin-vertebrates to anthropogenic disturbance in the streams. Experimental models (dose-response and relative sensitivity) and mathematical models (power law and negative exponential distribution) were applied to determinate the individual survival rates due to acute toxicity in stressful conditions. A power law was additionally used to present the natural survival rate. Life events, covering movement, exposure to contaminants, death and reproduction, were simulated in the IBM at the individual level in small (1 m) and short (1 week) scales to produce species abundance distributions (SADs) at the community level in large (5 km) and long (1~2 years) scales. Consequently, the SADs, such as geometric series, log-series, and log-normal distribution, were accordingly observed at severely (Biological Monitoring Working Party (BMWP<10), intermediately (BMWP<40) and weakly (BMWP${\geq}50$) polluted sites. The results from a power law and negative exponential distribution were suitably fitted to the field data across the different levels of pollution, according to the Kolmogorov-Smirnov test. The IBMs incorporating natural and toxic survival rates in individuals were useful for presenting community responses to disturbances and could be utilized as an integrative tool to elucidate community establishment processes in benthic macroin-vertebrates in the streams.

• International Journal of Reliability and Applications
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• 제8권1호
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• pp.67-82
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• 2007

This paper deals with the effectiveness analysis of an engineering system, which has two units of different strengths in parallel and one unit as a cold standby unit. Failure times for all the units have negative exponential distribution whereas their repair times have general distribution. Single server caters the need for the system. The effectiveness analysis of the system is done by using regenerative point technique. The different measures of effectiveness such as mean sojourn time, mean time to system failure, availability, busy period, etc, are derived. Cost factors also taken into consideration.

• Communications for Statistical Applications and Methods
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• 제18권4호
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• pp.485-493
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• 2011

The proportional likelihood ratio order is an extension of the likelihood ratio order for the non-negative absolutely continuous random variables. In addition, the Lindley distribution has been over looked as a mixture of two exponential distributions due to the popularity of the exponential distribution. In this paper, we first recalled the above concepts and then obtained various properties of the Lindley distribution due to the proportional likelihood ratio order. These results are more general than the likelihood ratio ordering aspects related to this distribution. Finally, we discussed the proportional likelihood ratio ordering in view of the weighted version of the Lindley distribution.

• 품질경영학회지
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• 제15권1호
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• pp.55-62
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• 1987

A stochastic model for an inventory system in which depletion of stock takes place due to random demand as well as random loss of items is studied under the assumption that the intervals between successive unit demands, as well as those between successive unit losses, are independently and identically distributed random variables having negative exponential distribution with respective parameters. We have derived the steady state probability distribution of the net inventory level assuming negative exponential delivery time under the continuous review (S-1, S) inventory policy. Also we have derived the total expected cost expression and necessary conditions to be satisfied for an optimal solution.

• 응용통계연구
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• 제16권2호
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• pp.335-349
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• 2003

본 논문에서는 포아송분포 대 음이항분포, 그리고 정규분포, 이중지 수분포 대 코쉬분포에 대한 모형선택을 위하여 베이지안 방법을 사용한다. 각 모수에 대한 사전분포로는 무정보 부적절 사전분포의 가정 하에, 베이지안 모형선택을 위하여 O'Hagan (1995)의 부분적 베 이즈요인을 이용하였다. 실제자료와 모의 실험 자료의 분석을 통하여 부분적 베이즈요인의 유용성을 Berger와 Pericchi (1996, 1998)의 내재적 베이즈요인들과 함께 비교 검토해 본다.

• 한국산림과학회지
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• 제86권1호
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• pp.17-24
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• 1997

지구(地球)의 잠재자연식생분포(潛在自然植生分布)를 추정(推定)하기 위한 첫단계로서 자연식생분포(自然植生分布)와 밀접(密接)한 관계가 있는 기온(氣溫)과 강수량(降水量)에 대한 최적구면보간방법(最適球面補間方法)을 개발하기 위해, Light Climatic Dataset로 명명(命名)한 전세계에 분포(分布)된 1,060점의 측후소(測候所)의 실측자료(實測資料)를 보간용(補間用)과 검정용(檢定用)으로 무작위(無作爲) 2등분(等分)하고, 검정용(檢定用) 측후소(測候所)에 있어서 관측치(觀測値)와 보간용(補間用)에 의한 추정치(推定値)와의 오차(誤差)를 보간방법(補間方法)과 파라메타가 틀린 조합(組合)에 대해 상호비교(相互比較)하였다. 보간용(補間用)에 의한 추정치(推定値)는, 측후소(測候所)의 선택법(選擇法)으로 전점(全点), 정점(定点), 안반경(安半徑)의 3가지 방법, 거리에 대한 하중(荷重)으로 n승 반비례(反比例), 부(負)의 지수함수(指數函數)의 2가지 방법, 방위(方位)에 관한 하중(荷重)으로 타원하중법(楕圓荷重法), 각각에대해 상호조합(相互組合)하여 산출(算出)되었다. 그 결과, 측후소(測候所)의 선택법(選擇法)은 정반경법(定半徑法), 거리(距離)에 관한 하중식(荷重式)은 부(負)의 지수함수(指數函數), 방위(方位)에 관한 하중법(荷重法)은 타원하중법(楕圓荷重法)을 조합(組合)하는 것이 기온(氣溫)과 강수량(降水量)의 보간(補間)에 적합(適合)하였으며, 그에 관한 파라메타 값은 기온(氣溫)에 있어서 정반경(定半徑) $30^{\circ}$, -0.78의 지수함수(指數函數), 타원하중(楕圓荷重) 0.4로, 강수량(降水量)에 있어서는 각각 $35^{\circ}$, -0.53, 1.2로 나타났다.

• 대한전자공학회논문지
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• 제17권2호
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• pp.15-22
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• 1980

Graphic image data의 효율적인 coding을 위해서, 한글 image와 영문 image의 통계적인 특성들이 측정 비교되었다. 또한 Markov model에 의한 run length의 확률분포와 측정된 run length의 확률분포가 비교 검토되었다. 측정된 run length 분포는 negative-power 분포에 유사하며, 이것은 한글 image 에서 더욱 뚜렷한 것으로 나타났다. 대표적 네가지 run length code의 coding 특성이 비교되었는데, 영문 image보다 한글image의 coding 특성이 더욱 우수한 것으로 밝혀졌다.