• 제목/요약/키워드: Rayleigh distribution

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Goodness-of-fit Test for Rayleigh Distribution

  • Sultan, K.S.
    • International Journal of Reliability and Applications
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    • 제8권1호
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    • pp.41-51
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    • 2007
  • In this paper, we use the moments of order statistics derived by Lieblein (1955) to develop the correlation goodness-of-fit test for the Rayleigh distribution. In such we simulate the percentage points of the test statistics for the one-parameter and two-parameter cases. In addition, we calculate the power of the proposed tests based on some alterative distributions. Finally, we apply the procedures developed in the paper to some real data.

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Notes on the Comparative Study of the Reliability Estimation for Standby System with Rayleigh Lifetime Distribution

  • Kim, Hee-Jae
    • Journal of the Korean Data and Information Science Society
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    • 제15권1호
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    • pp.239-250
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    • 2004
  • We shall propose maximum likelihood, Bayesian and generalized maximum likelihood estimation for the reliability of the two-unit hot standby system with Rayleigh lifetime distribution that switch is perfect. Each estimation will be compared numerically in terms of various mission times, parameter values and asymptotic relative efficiency through Monte Carlo simulation.

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Estimation of the Generalized Rayleigh Distribution Parameters

  • Al-khedhairi, A.;Sarhan, Ammar M.;Tadj, L.
    • International Journal of Reliability and Applications
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    • 제8권2호
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    • pp.199-210
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    • 2007
  • This paper presents estimations of the generalized Rayleigh distribution model based on grouped and censored data. The maximum likelihood method is used to derive point and asymptotic confidence estimates of the unknown parameters. The results obtained in this paper generalize some of those available in the literature. Finally, we test whether the current model fits a set of real data better than other models.

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A Study of Bayesian and Empirical Bayesian Prediction Analysis for the Rayleigh Model under the Random Censoring

  • Ko, Jeong-Hwan
    • Journal of the Korean Data and Information Science Society
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    • 제6권1호
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    • pp.53-61
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    • 1995
  • This paper deals with problems of predicting, based on the random censored sampling, a future observation and the p-th order statistic of n' future observations for the Rayleigh model. We consider the prediction intervals for the Rayleigh model with respect to an inverse gamma prior distribution. In additions, numerical examples are given in order to illustrate the proposed predictive procedure.

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묵호항의 파랑특성 (Statisticall Characteristics of Sea Waves at Mookho)

  • 심명필;안수한
    • 물과 미래
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    • 제10권1호
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    • pp.101-117
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    • 1977
  • The statatistical characteristics and spectra of sea waves at Mookho were analysed by several statistical methods. As the results, the following conclusions are obtained: 1. Values of surface elevation of sea wave are better fitted to Gram Charlier distribution than Gaussian distribution. This proves that sea waves have not only characters of irregularity but also non-linearity. 2. Distribution of maxima of surface elevation practically follows the distribution of Cartwright and Longuet-Higgins, also spectral width parameter is found to be increased with the increase of root mean square of surface elevation. 3. Sea wave may have spectrum of broad frequency band, however distributions of wave heights and periods follow the Rayleigh distribution which is derived from the assumption of narrow frequency band. 4. Ratios among mean wave heights from observed data show good agreements with theoretical values from Rayleigh distribution. 5. Spectral density and spectral width parameter increase with increase of wind velocity. And wave period at optimum band gas higher value than significant wave period by about 10 percent.

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Payleigh 페이딩 채널에서 BPSK와 QPSK 신호의 변조 분류 (Modulation classification for BPSK and QPSK signals over rayleigh fading channel)

  • 윤동원;한영열
    • 한국통신학회논문지
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    • 제21권4호
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    • pp.1019-1026
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    • 1996
  • 이제까지 변조 분류에 대한 연구는 가산성 백색 가우시안 잡음에서만 해석되어 연구되어 왔다. 이 논문에서는 Rayleigh 페이딩 채널에서 통계적 모멘트에 근거한 BPSK와 QPSK 신호의 디지틀 변조 분류기를 제시하고 성능을 분석한다. 백색 가우시안 잡음과 Rayleigh 페이딩이 존재하는 환경에서 복조된 신호의 샘플 모멘트를 계산한다. 계산된 모멘트 값을 바탕으로 중심 극한 정리를 이용하여 샘플 모멘트의 평균과 분산을 계산한다. 이로부터 샘플 모멘트의 확률 밀도 함수를 구하고 베이즈 검정을 적용하여 통계적 모멘트에 기초한 BPSK와 QPSK 신호의 디지틀 변조 분류기를 제시하고 오분류 확률을 유도하여 성능을 분석한다.

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수직 Rayleigh 유동내의 입자 거동 해석 (Analysis for Particle Motion of Vertical Rayleigh flow)

  • 고석보;전용두;이금배
    • 대한설비공학회:학술대회논문집
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    • 대한설비공학회 2006년도 하계학술발표대회 논문집
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    • pp.755-760
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    • 2006
  • The exhaust gas with solid particle goes through the riser in both particle circulating type and circulating fluidized bed type heat exchanger to recover the heat. During heat transfer, gas velocity in vertical riser decreases as viscosity of exhaust gas decreases. In this case, when the particle size is fixed, sometimes the exhaust gas happens to have lower velocity which prohibit them to go out of the riser. In this paper the particle motion in vertical Rayleigh flow was studied. The behavior of heat transfer was investigated by means of velocity and temperature distribution. The result from numerical analysis was validated by the experimental results. Fortran code was used to analyze the particle motion in vertical Rayleigh flow.

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소프트웨어 개발인력 배분 모델 (A Model for Software Development Manpower Allocation)

  • 박석규
    • 인터넷정보학회논문지
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    • 제8권2호
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    • pp.23-31
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    • 2007
  • 노력 (인력)과 일정이 추정된 경우, 인력을 일정 시간대별로 효율적으로 배분하기는 매우 어렵다. 지금까지 Putnam의 Rayleigh 분포모델이 널리 적용되고 있다 이 분포는 프로젝트 전반부에서 인력이 집중적으로 투입되는 형태를 표현하고 있다. 그러나 실제 수행된 프로젝트의 대부분이 중반부나 후반부시점에서 인력이 집중적으로 투입되는 현상을 나타내 Rayleigh 분포를 적용할 수 없다. 따라서 본 논문은 인력을 효율적으로 배분하기 위한 모델을 제안한다. 먼저, 소프트웨어 개발 분야에서 제시하고 있는 전형적인 형태와 실제 수행 프로젝트들의 인력 프로파일 형태를 고찰하였다. 다음으로, 효율적인 인력 배분을 위해 인력 프로파일에 대한 윤곽을 그려 모델을 유도하는 방법을 제안하였다. 제안된 모델은 기존의 Rayleigh와 Gamma 모델보다 좋은 성능을 나타내었다. 제안된 모델을 적용할 경우 소프트웨어 개발계획단계에서 개발기간에 대한 투입될 인력을 적절히 배분하여 프로젝트를 성공적으로 관리할 수 있을 것이다.

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STaRS Gen 2: Sejong Radiative Transfer through Raman and Rayleigh Scattering in Dusty Medium

  • Chang, Seok-Jun;Lee, Hee-Won;Seon, Kwang-Il
    • 천문학회보
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    • 제46권2호
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    • pp.81.2-81.2
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    • 2021
  • Emission features formed through Raman scattering with atomic hydrogen provide unique and crucial information to probe the distribution and kinematics of a thick neutral region illuminated by a strong far-ultraviolet radiation source. We introduce a new 3-dimensional Monte-Carlo code to describe the radiative transfer of line photons subject to Raman and Rayleigh scattering with atomic hydrogen. In our Sejong Radiative Transfer through Raman and Rayleigh Scattering (STaRS) code, the position, direction, wavelength, and polarization of each photon is traced until escape. The thick neutral scattering region is divided into multiple cells. Each cell is characterized by its velocity and density, which ensures flexibility of the code in analyzing Raman-scattered features formed in a neutral region with complicated kinematics and density distribution. We are continuously developing STaRS to adopt the absorption and scattering effect by dust. This presentation introduces STaRS and its current state and study.

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아래 평판이 미소한 불균일 온도를 갖는 두 수평 평판 사이에서의 자연 대류 : Pr=0.7 (NATURAL CONVECTION BETWEEN TWO HORIZONTAL PLATES WITH SMALL MAGNITUDE NON-UNIFORM TEMPERATURE IN THE LOWER PLATE : Pr=0.7)

  • 유주식
    • 한국전산유체공학회지
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    • 제18권2호
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    • pp.35-40
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    • 2013
  • Natural convection of air with Pr=0.7 between two horizontal plates with small magnitude non-uniform temperature distribution[${\in}{\Delta}Tsin({\kappa}X/H)$, H : gap width, X : horizontal coordinate] in the lower plate is numerically(${\in}=0.01$) investigated. In the conduction-dominated regime with $Ra{\leq}1700$, two upright cells are formed over one wave length($2{\pi}/{\kappa}$). For small wave number, the flow becomes unstable with increase of Rayleigh number, and multicellular convection occurs above a critical Rayleigh number. The flow patterns are classified by the number of eddies over one wave length. When ${\kappa}=1$, a transition of $2{\rightarrow}4{\rightarrow}6$ eddy flow occurs with increase of Rayleigh number, and no hysteresis phenomenon is observed. Dual and triple solutions are found for ${\kappa}=1$, and transitions of $10{\rightarrow}8$, $8{\rightarrow}6$, $6{\rightarrow}4{\rightarrow}2$ eddy flow occur with decrease of Rayleigh number.