• 한국해양공학회:학술대회논문집
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• 한국해양공학회 2006년 창립20주년기념 정기학술대회 및 국제워크샵
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• pp.367-372
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• 2006

If the sea is narrowband, the Rayleigh distribution introduced by Longuet-Higgins can be used for the individual wave height distribution. However the Rayleigh distribution over-predicts the probability of high waves. Longuet-Higgins introduced alternative form of the Rayleigh distribution with an empirical constant. The wave height distribution can be fitted well by one parameter Rayleigh distribution with a proper choice of the empirical constant. The empirical constant is the ratio of the significant wave height based the time domain analysis and the spectral analysis. Here we examine wave data which contain extreme waves. Once again we confirmed that extreme wave height distribution can be modelled well by a modified Rayleigh distribution.

• Journal of the Korean Data and Information Science Society
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• 제18권4호
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• pp.1205-1214
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• 2007

We define a skew-symmetric double Rayleigh distribution by a symmetric double Rayleigh distribution, and derive an approximate maximum likelihood estimator(AML) and a moment estimator(MME) of a skewed parameter in a skew-symmetric double Rayleigh distribution, and hence compare simulated mean squared errors of those two estimators. We also compare simulated mean squared errors of two proposed estimators of reliability in two independent skew-symmetric double Rayleigh distributions.

• Wind and Structures
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• 제28권6호
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• pp.369-380
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• 2019

Statistical distributions are very useful in describing wind speed characteristics and in predicting wind power potential of a specified region. Although the Weibull distribution is the most popular one in wind energy literature, it does not seem to be able to perfectly fit all the investigated wind speed data in nature. Thus, many studies are still being conducted to find flexible distribution for modelling wind speed data. In this study, we propose a new Odd-Burr Rayleigh distribution for wind speed characterization. The Odd-Burr Rayleigh distribution with two shape parameters is flexible enough to model different shapes of wind speed data and thus it can be an alternative wind speed distribution for the assessment of wind energy potential. Therefore, suitability of the Odd-Burr Rayleigh distribution is investigated on real wind speed data taken from different regions in the South Africa. Numerical results of the conducted analysis confirm that the new Odd-Burr Rayleigh distribution is suitable for modelling most of the considered real wind speed cases and it also can be used for predicting wind power.

• 한국정보전자통신기술학회논문지
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• 제12권6호
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• pp.554-560
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• 2019

본 연구에서는 소프트웨어 신뢰성 분야에서 많이 사용하는 유한고장 NHPP Rayleigh 분포 모형과 NHPP Inverse Rayleigh 분포 모형을 소프트웨어 개발비용 모형에 적용한 후, 개발비용과 최적의 방출시간에 대한 속성을 비교, 분석하였다. 소프트웨어 개발비용의 속성을 분석하기 위하여 소프트웨어 고장시간 자료를 사용하였고, 모수추정은 최우추정법을 적용하였으며, 비선형 방정식은 이분법을 사용하여 계산하였다. 그 결과, Rayleigh 모형이 Inverse Rayleigh 모형보다 소프트웨어 개발비용이 비교적 적고, 소프트웨어 방출시점도 빨라서 상대적으로 우수한 모형임을 확인할 수 있었다. 본 연구를 통하여 기존 연구사례가 없는 Rayleigh 모형과 Inverse Rayleigh 모형의 개발비용 속성을 새롭게 분석하였으며, 더불어 소프트웨어 개발자들이 소프트웨어 신뢰도 향상 방법 및 개발비용의 속성을 탐색하는 데 필요한 기본지침으로 활용할 수 있을 것으로 기대한다.

• Journal of the Korean Data and Information Science Society
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• 제17권4호
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• pp.1343-1348
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• 2006

Parametric estimation of a truncated point in a right truncated Rayleigh distribution will be considered. The MLE, a bias reduced estimator and the ordinary jackknife estimator of the truncated point in the right truncated Rayleigh distribution will be compared by mean square errors. And proposed estimators of the reliability in the right truncated Rayleigh distribution will be compared by their mean squared errors.

• Journal of the Korean Data and Information Science Society
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• 제10권2호
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• pp.299-311
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• 1999

In this paper the single and product moments of order statistics of the doubly truncated Rayleigh distribution are studied. Some recurrence relations of order statistics are derived. Using order statistics, also characterization of the Rayleigh distribution are derived.

• 디지털산업정보학회논문지
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• 제10권3호
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• pp.1-9
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• 2014

The inverse Rayleigh model distribution and Rayleigh distribution model were widely used in the field of reliability station. In this paper applied using the finite failure NHPP models in order to growth model. In other words, a large change in the course of the software is modified, and the occurrence of defects is almost inevitable reality. Finite failure NHPP software reliability models can have, in the literature, exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this paper, proposes the inverse Rayleigh and Rayleigh software reliability growth model, which made out efficiency application for software reliability. Algorithm to estimate the parameters used to maximum likelihood estimator and bisection method, model selection based on mean square error (MSE) and coefficient of determination($R^2$), for the sake of efficient model, were employed. In order to insurance for the reliability of data, Laplace trend test was employed. In many aspects, Rayleigh distribution model is more efficient than the reverse-Rayleigh distribution model was proved. From this paper, software developers have to consider the growth model by prior knowledge of the software to identify failure modes which can helped.

• 한국해양환경ㆍ에너지학회지
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• 제13권2호
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• pp.112-120
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• 2010

이 논문에서는 Yura 해역에서 폭풍 중 24시간 연속으로 측정된 freak wave가 포함된 파랑자료를 분석하여 비선형 파도의 통계적 특성을 살펴보았다. 파고의 초과확률분포는 Edgeworth-Rayleigh(ER) 분포와, Rayleigh 분포를 이용하여 계측된 자료와 비교하였다. 파형이 stationary 상태를 유지하는 10시간 동안 계측된 파랑자료(파랑의 개수가 4600 내외)에서는, 파형의 분포는 Gram-Chalier분포가 Gaussian분포보다 파랑자료와 일치를 한다. 전반적인 파고의 확률분포는 Rayleigh($H_{rms}$)분포를 잘 따르는 것을 볼 수 있다. Freak wave 발생확률은 Rayleigh($m_{o}{^{1/2}}$) 분포로 잘 표시가 되며, ER 분포는 과대하게 예측하는 것을 볼 수 있다. 30분간 계측된 파랑자료(파랑 개수가 250개 내외)에서 freak wave가 발생된 경우는 ER 분포가 freak wave 발생확률과 잘 일치한다. 그러나 전반적인 파고의 발생확률이 과대평가된다. Freak wave가 발생하지 않은 경우는 거의 모든 파고에 걸쳐 Rayleigh($H_{rms}$)분포가 계측된 파고분포와 잘 일치를 한다. 파고가 10 m 이하의 freak wave의 파고확률분포는 10 m 이상의 파고를 가지는 freak wave와 비슷한 경향을 보인다. $H_{max}/H_{1/3}$은 파형의 kurtosis와 연관이 있는 것을 보여주었다. Freak wave의 발생은 높은 kurtosis 값과 관계가 있으며, freak wave가 발생하는 임계 kurtosis 값이 존재할 가능성이 있을 것으로 추정된다.

• Journal of the Korean Data and Information Science Society
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• 제20권6호
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• pp.1199-1206
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• 2009

This paper deals with the estimation based on progressive Type-II censored samples from the double Rayleigh distribution. We derive some estimators of the location and scale parameters of the double Rayleigh distribution based on progressive Type-II censored samples. We compare the proposed estimators in the sense of the mean squared error for various censored samples.

• Communications for Statistical Applications and Methods
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• 제14권2호
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• pp.329-344
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• 2007

In this paper, we shall propose the AMLEs of the scale parameter and the location parameter in the two-parameter Rayleigh distribution based on progressive Type-II censored samples when one parameter is known. We also propose the AMLEs of the two parameters in the Rayleigh distribution based on progressive Type-II censored samples when two parameters are unknown. We simulate the mean squared errors of the proposed estimators through Monte Carlo simulation for various censoring schemes.