• 제목/요약/키워드: Circular probability distribution

검색결과 20건 처리시간 0.03초

순환확률분포를 이용한 교통량 결측자료 보정 모형 (Modelling Missing Traffic Volume Data using Circular Probability Distribution)

  • 김현석;임강원;이영인;남두희
    • 대한교통학회지
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    • 제25권4호
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    • pp.109-121
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    • 2007
  • 자료결측의 심각성은 현실적으로 거의 대부분의 조사에서 발생한다. 비단 교통분야뿐만 아니라 인문사회 분야나 기상학, 생물학, 지구과학 등 모든 분야에서 인력식이든 기계식이든 조사 방식에 관계없이 발생한다. 교통자료 수집장비에서의 자료결측의 발생은 현실적으로 불가피한 현상으로 볼 수 있으며, 이와 같은 자료 수집과정에서 발생하는 결측을 신뢰성있게 추정하여 보정하였던 선행연구의 대부분은 교통량 자료의 결측값 보정시 통계적 검증없이 시간적인 임의의 종속성만 고려함으로서, 보정 성능이 떨어지는 단점을 노출하고 있다. 이들 연구에서 적용했던 기법들 또한, 교통량 자료가 가지고 있는 가장 큰 특징인 주기적 순환성(periodic circularity)이 제대로 반영되지 못함으로서 적용상 한계를 노출하고 있다. 본 연구는 현실적으로 거의 대부분의 조사과정에서 발생하는 자료결측의 심각성에 대한 인식을 토대로 대안으로 순환분포모형을 제안하였다. 이러한 자료결측 현상에 대응하고자 하였던 기존의 ad-hoc 또는 heuristic 보정 기법과 모형 기반 및 알고리즘 기반의 보정 기법에 관한 선행 연구의 고찰을 통하여 이들 기법들의 한계점을 확인하였다.

순환 확률분포를 이용한 다중 음원 방향 추정 (Direction Estimation of Multiple Sound Sources Using Circular Probability Distributions)

  • 남승현;김용호
    • 한국음향학회지
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    • 제30권6호
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    • pp.308-314
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    • 2011
  • 본 논문에서는 주기성을 갖는 순환 확률분포를 이용하여 $0^{\circ}{\sim}360^{\circ}$ 범위의 다중 음원의 방향을 추정하는 기법을 제안한다. 음원의 방향 정보를 담고 있는 마이크로폰간의 위상차는 확률분포의 혼합물로 간주될 수 있으며, 음원 방향은 이 확률분포의 혼합물에 적용된 로그-우도함수 (log-likelihood function)를 최대화함으로써 추정된다. 주기성을 갖는 데이터의 분석에 von Mises 확률분포가 널리 활용된다는 사실은 잘 알려져 있지만, 본 논문에서는 기존의 Gaussian이나 Laplacian 확률분포에 $2{\pi}$ 모듈로 (modulo) 연산을 적용함으로써 $0^{\circ}{\sim}360^{\circ}$ 범위의 주기성을 갖는 순환 확률분포를 정의하고 이를 방향 추정에 활용한다. 순환 확률분포의 혼합물에 대한 로그-우도함수를 최대가 되게 하는 음원의 방향은 EM (Expectation-Maximization) 알고리즘을 이용하여 추정된다. 다양한 반향 환경에서의 실험 결과 Laplacian 확률분포가 von Mises나 Gaussian 확률분포보다 우수한 성능을 제공함을 확인할 수 있다.

Properties of the Poisson-power Function Distribution

  • Kim, Joo-Hwan
    • Communications for Statistical Applications and Methods
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    • 제2권2호
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    • pp.166-175
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    • 1995
  • When a neutral particle beam(NPB) aimed at the object and receive a small number of neutron signals at the detector without any errors, it obeys Poisson law. Under the two assumptions that neutral particle scattering distribution and aiming errors have a circular Gaussian distributions that neutral particle scattering distribution and aiming errors have a circular Gaussian distribution respectively, an exact probability distribution of neutral particles vecomes a Poisson-power function distribution. We study and prove some properties, such as limiting distribution, unimodality, stochastical ordering, computational recursion fornula, of this distribution. We also prove monotone likelihood ratio(MLR) property of this distribution. Its MLR property can be used to find a criteria for the hypothesis testing problem.

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곡률 주행 기법을 이용한 무인 이동 개체의 장애물 회피 알고리즘 (Obstacle Avoidance of Autonomous Mobile Agent using Circular Navigation Method)

  • 이진섭;좌동경;홍석교
    • 전기학회논문지
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    • 제58권4호
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    • pp.824-831
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    • 2009
  • This paper proposes an obstacle avoidance algorithm for an autonomous mobile robot. The proposed method based on the circular navigation with probability distribution finds local-paths to avoid collisions. Futhermore, it makes mobile robots to achieve obstacle avoidance and optimal path planning due to the accurate decision of the final goal. Simulation results are included to show the feasibility of the proposed method.

On Radar Surveillance in Statistical Perspective for the Classroom

  • Kim, G. Daniel;Kim, Sung-Sook
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제6권1호
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    • pp.97-106
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    • 2002
  • Educators have found that the concept of randomness is often misunderstood by students. Chance recently pointed out that students should be introduced to the concept of randomness through the use of simulations. In this article, we studied various aspects of the probability distribution off linear random path in a circle and introduce some related simulations to guide student exploration and discovery. Consider a random line segment that crosses a circle with a certain radius. Perhaps it can be considered to be a path that an airplane shows up and flies into a random direction in a monitor. What is the expected amount of flying distance through the monitor, and the expected variation\ulcorner Are we monitoring what we see scientifically\ulcorner This article studies the probability distribution and some related aspects of a linear random path within a circular monitor. Some simulative activity is also introduced which can be used in a statistics or probability classes.

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원형 다이아몬드 톱의 세그먼트 표면에서의 다이아몬드 입자 분포의 확률적인 해석 (Stochastic Analysis of the Diamond Particle Distribution on the Surface of Circular Diamond Saw Blade)

  • 이현우;변서봉;정기정;김용석
    • 한국분말재료학회지
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    • 제10권3호
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    • pp.201-208
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    • 2003
  • Distributions of diamond particles protruding on the surface of worn diamond segments in circular saw has been investigated. Scanning electron microscope was used to examine the worn ,surface and radial saw blade wear and grinding ratio was measured. The number of protruded diamond particle was approximately 50% of the total number of particles, and that was independent of diamond particle concentration and table speed. It was also noted that the inter-particle distance did not follow a symmetric function like Gaussian distribution function, instead it fitted well with a probability density function based on gamma function. The distribution of inter-particle spacing, therefore, was analyzed using a gamma function model.

Error Rate for the Limiting Poisson-power Function Distribution

  • Joo-Hwan Kim
    • Communications for Statistical Applications and Methods
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    • 제3권1호
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    • pp.243-255
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    • 1996
  • The number of neutron signals from a neutral particle beam(NPB) at the detector, without any errors, obeys Poisson distribution, Under two assumptions that NPB scattering distribution and aiming errors have a circular Gaussian distribution respectively, an exact probability distribution of signals becomes a Poisson-power function distribution. In this paper, we show that the error rate in simple hypothesis testing for the limiting Poisson-power function distribution is not zero. That is, the limit of ${\alpha}+{\beta}$ is zero when Poisson parameter$\kappa\rightarro\infty$, but this limit is not zero (i.e., $\rho\ell$>0)for the Poisson-power function distribution. We also give optimal decision algorithms for a specified error rate.

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Exact poisson distribution in the use of NPB with aiming errors

  • Kim, Joo-Hwan
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 1995년도 춘계공동학술대회논문집; 전남대학교; 28-29 Apr. 1995
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    • pp.967-973
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    • 1995
  • A neutral particle beam(NPB) aimed at the object and receive a small number of neutron signals at the detector to estimate the mass of an object Since there is uncertainty about the location of the axis of the beam relative to the object, we could have aiming errors which may lead to incorrect information about the object. Under the two assumptions that neutral particle scattering distribution and aiming errors have a circular normal distribution respectively, we have derived an exact probability distribution of neutral particles. It becomes a Poison-power function distribution., We proved monotone likelihood ratio property of tlis distribution. This property can be used to find a criteria for the hypothesis testing problem.

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곡률 주행을 이용한 이동 로봇의 장애물 회피 알고리즘 (Obstacle Avoidance for Mobile Robot using Circular Navigation with a Laser Scanner)

  • 이진섭;김태은;좌동경;홍석교
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 제39회 하계학술대회
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    • pp.1521-1522
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    • 2008
  • This paper proposes a obstacle avoidance algorithm that enavles a mobile robot with autonomous. The proposed method based on circular navigation with probability distribution and finds local-paths to avoid collisions. Simulation results show the feasibility of the proposed method.

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