• 충청수학회지
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• 제24권4호
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• pp.783-793
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• 2011

In this paper we introduce the concept of extended linear negative quadrant dependence and obtain some exponential inequalities, complete convergence and almost sure convergence for extended linear negative quadrant dependent random variables.

• 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.

• 한국통신학회논문지
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• 제31권12A호
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• pp.1229-1237
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• 2006

DCF에서는 백오프 스테이지(backoff stage), 백오프 카운터(backoff counter), 경쟁 윈도우(contention window)의 세 가지 매개변수를 사용하여 충돌이 발생하면 백오프 스테이지를 하나씩 증가시키고 백오프 카운터를 선택하는 범위인 경쟁 윈도우를 두 배씩 증가시키는 이진 지수적인 백오프(BEB : Binary Exponential Backoff) 방식을 사용하여 전송 프레임간의 충돌 발생 가능성을 줄이고 있다. 그러나 무선 자원을 공유하는 단말의 수가 증가 할수록 충돌 발생 가능성이 증가하여 비효율적으로 자원을 사용하는 문제점이 있다. 따라서 본 논문에서는 무선 자원을 효율적으로 사용하고 무선 랜의 성능을 향상시키기 위해 충돌발생 시 경쟁 윈도우를 최대로 유지하고 전송 성공 시 경쟁 윈도우를 반으로 줄이는 이진 음지수적인 백오프(BNEB : Binary Negative-Exponential Backoff) 방식을 제안하고 IEEE 802.11, 802.11a, 802.11b의 세 가지 표준에 대해서 포화상태 및 정상 트래픽 상태에서의 성능 평가를 수행하였다.

• 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.

• 대한수학회논문집
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• 제22권1호
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• pp.137-143
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• 2007

In this paper, a Berstein-Hoeffding type inequality is established for linearly negative quadrant dependent random variables. A condition is given for almost sure convergence and the associated rate of convergence is specified.

• 호남수학학술지
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• 제29권3호
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• pp.367-375
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• 2007

For bounded negatively associated random variables we derive almost sure convergence and specify the associated rate of convergence by establishing exponential inequality.

• Communications for Statistical Applications and Methods
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• 제7권2호
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• pp.371-383
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• 2000

Lindsay (1994) and Basu et al (1997) show that another density-based distance called the negative exponential disparity (NED) is an excellent competitor to the Hellinger distance (HD) in generating an asymptotically fully efficient and robust estimator. Bhattacharya and Basu (1996) consider estimation of the locations of several normal populations when an order relation between them is known to be true. They empirically show that the robust HD based weighted likelihood estimators compare favorably with the M-estimators based on Huber's $\psi$ function, the Gastworth estimator, and the trimmed mean estimator. In this paper we investigate the performance of the weighted likelihood estimator based on the NED as a robust alternative relative to that based on the HD. The NED based estimator is found to be quite competitive in the settings considered by Bhattacharya and Basu.

• 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.

• 한국통신학회:학술대회논문집
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• 한국통신학회 2006년도 하계종합학술발표회 논문 초록집
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• pp.208-208
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• 2006

• 대한산업공학회지
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• 제4권1호
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• pp.29-32
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• 1978

We obtain the minimum variance unbiased estimate of system reliability when a system consists of n components whose life times are assumed to be independent and identically distributed either negative exponential or geometric random variables. For the case of a negative exponential life time, we obtain the minimum variance unbiased estimate of the probability density function of the i-th order statistic.