• Journal of the Korean Data and Information Science Society
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• 제20권2호
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• pp.459-465
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• 2009

For an inverse double Weibull distribution which is symmetric about zero, we obtain distribution and moment of ratio of independent inverse double Weibull variables, and also obtain the cumulative distribution function and moment of a skew-symmetric inverse double Weibull distribution. And we introduce a skew-symmetric inverse double Weibull generated by a double Weibull distribution.

• Communications for Statistical Applications and Methods
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• 제16권5호
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• pp.859-870
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• 2009

We obtain a skewed double Weibull distribution by a double Weibull distribution, and evaluate its coefficient of skewness. And we obtain the approximate maximum likelihood estimator(AML) and moment estimator of skew parameter in the skewed double Weibull distribution, and hence compare simulated mean squared errors(MSE) of those estimators. We compare simulated MSE of two proposed reliability estimators in two independent skewed double Weibull distributions each with different skew parameters. Finally we introduce a skewed double Weibull distribution generated by a uniform kernel.

• Communications for Statistical Applications and Methods
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• 제14권1호
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• pp.93-109
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• 2007

In this paper we study a number of new exponentiated distributions. The survival function, failure rate and moments of the distributions have been derived using certain special functions. The behavior of the failure rate has also been studied.

• Communications for Statistical Applications and Methods
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• 제22권4호
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• pp.333-348
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• 2015

In this paper, we study a generalization of the modified Weibull distribution. The generalization follows the recent work of Cordeiro et al. (2013) and is based on a class of exponentiated generalized distributions that can be interpreted as a double construction of Lehmann. We introduce a class of exponentiated generalized modified Weibull (EGMW) distribution and provide a list of some well-known distributions embedded within the proposed distribution. We derive some mathematical properties of this class that include ordinary moments, generating function and order statistics. We propose a maximum likelihood method to estimate model parameters and provide simulation results to assess the model performance. Real data is used to illustrate the usefulness of the proposed distribution for modeling reliability data.

• Computers and Concrete
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• 제21권3호
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• pp.291-298
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• 2018

In this study, the flexural fatigue performance of concrete beams made with 100% Coarse Recycled Concrete Aggregates (RCA) and 100% Coarse Natural Aggregates (NA) were statistically commanded. For this purpose, the experimental fatigue test results of earlier researcher were investigated using two parameter Weibull distribution. The shape and scale parameters of Weibull distribution function was evaluated using seven numerical methods namely, Graphical method (GM), Least-Squares (LS) regression of Y on X, Least-Squares (LS) regression of X on Y, Empherical Method of Lysen (EML), Mean Standard Deviation Method (MSDM), Energy Pattern Factor Method (EPFM) and Method of Moments (MOM). The average of Weibull parameters was used to incorporate survival probability into stress (S)-fatigue life (N) relationships. Based on the Weibull theory, as single and double logarithm fatigue equations for RCA and NA under different survival probability were provided. The results revealed that, by considering 0.9 level survival probability, the theoretical stress level corresponding to a fatigue failure number equal to one million cycle, decreases by 8.77% (calculated using single-logarithm fatigue equation) and 6.62% (calculated using double logarithm fatigue equation) in RCA when compared to NA concrete.

• 터널과지하공간
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• 제13권6호
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• pp.444-454
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• 2003

최근 TBM등의 기계식 터널 굴착에 널리 사용되는 커터 디스크 관입에 의한 암석 파쇄 기술은 커터디스크 관입에 따라 국부적으로 높은 응력이 발생하고 미소균열이 생성 및 전파되는 과정이며, 이러한 현상은 암석의 불균질성에 기인한다. 따라서 본 연구에서는 수치해석적으로 TBM에 의한 파괴 메카니즘을 규명하기 위하여. Weibull 분포함수를 이용하여 암석의 불균질 강도 물성을 고려하였으며, 파괴후 물성 저하를 고려하기 위하여 저감지수를 도입하였다. 본 연구결과로부터 단일 커터 디스크 관입시 측압이 매우 중요한 영향을 미치며, 측압이 작을수록 관입에 저항하는 강도는 약하여 커터 디스크와 접촉하는 면과 수직한 방향으로 파괴가 잘 발생하고 측압이 클수록 암석 표면을 따라 chipping 현상이 잘 나타났다. 또한 두 개의 커터 디스크가 작용하는 경우 파괴영역이 전파되고 상호 연합되어 최종적으로 파괴가 발생하는데, 커터 디스크 간격이 70 mm인 경우가 40 mm와 100 mm인 경우 비해 좋은 파쇄효율을 나타내었다. 이상의 결과로부터 커터 디스크 관입에 의한 암석의 chipping 과정 및 메카니즘의 이해와 TBM 터널 설계를 위한 다양한 검토를 해석적 기법으로서 제시할 수 있을 것으로 기대된다.

• International Journal of Reliability and Applications
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• 제8권1호
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• pp.1-16
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• 2007

In this paper, we derive exact explicit expressions for the triple and quadruple moments of the lower record values from inverse the Weibull (IW) distribution. Next, we present and calculate the coefficients of the best linear unbiased estimates of the location and scale parameters of IW distribution (BLUEs) for different choices of the shape parameter and records size. We then use the higher order moments and the calculated BLUEs to compute the mean, variance, and the coefficients of skewness and kurtosis of certain linear functions of lower record values. By using the coefficients of the skewness and kurtosis, we develop approximate confidence intervals for the location and scale parameters of the IW distribution using Edgeworth approximate values and then compare them with the corresponding intervals constructed through Monte Carlo simulations. Finally, we apply the findings of the paper to some simulated data.

• 한국가스학회지
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• 제22권6호
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• pp.40-43
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• 2018

압력안전밸브의 열림고장과 닫힘고장은 서로 부분적으로 종속되어있다. 본 연구에서는 마르코프 프로세스 모델과 Weibull 분포 모델을 이용하여 두 가지 고장에 대한 신뢰성 모델을 구축하는 방법을 제안한다. 압력안전 밸브 모델은 알려진 열림고장 모델, 유도된 닫힘고장 모델, 최근 보고된 점검결과를 재현하는 동시고장 모델로부터 얻어진다. 제안된 방법은 부분적으로 종속된 다중 고장상태를 갖는 다양한 시스템의 정량적 위험성 평가로 확대 적용할 수 있을 것으로 기대된다.

• 한국자동차공학회논문집
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• 제2권6호
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• pp.1-8
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• 1994

To enhance the strength of gears for transmission, Generally caburizing heat treatment is applied. But there are some problems in this technology the distortion of gears during heat treatment process, and the discontinuity of manufacturing process. For these reasons, the high frequency induction hardening process is widely used. This method is one of the surface hardening process to improve the wear resistance and fatigue life of the machine components. In this study, to compare the bending fatigue strength of caburized gear with that of induction hardened gear, bending fatigue testing of gears with two different cases was performed by using an electrohydraulic servo-controlled fatigue testing machine and double tooth bending fatigue test fixture. Fatigue life distributions at constant stress levels were established directly from fatigue data. For gear design, the fatigue strength distribution at specified life is more important. This distribution is obtained by statical transformation from fatigue life distribution. Reliability of bending fatigue strength was estimated by P-S-N curves and Weibull distribution.

• 한국생산제조학회지
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• 제9권4호
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• pp.147-153
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• 2000

This paper presents a design method using CAE(Computer Aided Engineering ) with the consideration of reliability for optimal gear driving system. This method considered a configuration of the intermediate shaft. There are four mounting types, such as double straddle, double overhung, output gear overhung, and input ger overhung in the intermediate shaft. The reliability and life analysis are based on the two-parameter Weigbull distribution lives of the gears and bearing . The validity and feasibility of the proposed method are verified by the application to transmission of a industry machine.