• Title/Summary/Keyword: 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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    • v.8 no.1
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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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    • v.15 no.1
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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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    • v.8 no.2
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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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    • v.6 no.1
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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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Statisticall Characteristics of Sea Waves at Mookho (묵호항의 파랑특성)

  • 심명필;안수한
    • Water for future
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    • v.10 no.1
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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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Modulation classification for BPSK and QPSK signals over rayleigh fading channel (Payleigh 페이딩 채널에서 BPSK와 QPSK 신호의 변조 분류)

  • 윤동원;한영열
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.4
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    • pp.1019-1026
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    • 1996
  • A modulation type classifier based on statistical moments has been successfully employed to classify PSK signals. Previously, developed Classifiers were analyzed in AWGN channel only. In this paper, a moments-based modulation type classifier to classify BPSK and QPSK signals over Rayleigh fading channel is proposed and analyzed. The moments of received signal are evaluated with the exact distribution of the received signal and a moments-based classifier is proposed. The performance evaluation of the proposed classifier in terms of the misclassification probability for BPSK and QPSK is investigated under Rayleigh fading environment.

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

  • Ko, Seok-Bo;Jun, Yong-Du;Lee, Kum-Bae
    • Proceedings of the SAREK Conference
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    • 2006.06a
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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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A Model for Software Development Manpower Allocation (소프트웨어 개발인력 배분 모델)

  • Park, Seok-Gyu
    • Journal of Internet Computing and Services
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    • v.8 no.2
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    • pp.23-31
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    • 2007
  • If the effort(manpower) and schedule are estimated, there is very difficult to allocate the manpower according to the schedule time units efficiently. Generally, the Putnam's Rayleigh Model has been applied popularly. This distribution model is expressing topology that manpower is consumed concentrically in first-half point. But actual manpower of projects are consumed concentrically at middle or second half point. Therefore, this model cannot be applied in software project planning area. This paper suggests a model to distribute manpower efficiently. Fist of all, we investigate a typical type presenting in software development field and manpower profile type of actuality development projects. Next, we suggested a method to present the model by a drawing a contour about manpower profile for the efficient manpower distribution. The proposed model shows better performance than Rayleigh and Gomma model. By applying proposed model, we will properly distribute manpower to schedule in software development planning phase, and finally we may manage project successfully.

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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
    • The Bulletin of The Korean Astronomical Society
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    • v.46 no.2
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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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NATURAL CONVECTION BETWEEN TWO HORIZONTAL PLATES WITH SMALL MAGNITUDE NON-UNIFORM TEMPERATURE IN THE LOWER PLATE : Pr=0.7 (아래 평판이 미소한 불균일 온도를 갖는 두 수평 평판 사이에서의 자연 대류 : Pr=0.7)

  • Yoo, Joo-Sik
    • Journal of computational fluids engineering
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    • v.18 no.2
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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.