• Title/Summary/Keyword: weibull

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Statistical Analysis using Weibull Distribution on the Dielectric Breakdown Strength of High Density Polyethylene Films (HDPE필름 절연파괴강도의 Weibull분포에 의한 통계적 해석)

  • Kang, Moo-Sung;Kang, Dae-Yong;Park, Dae-Hee
    • Proceedings of the KIEE Conference
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    • 1997.07e
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    • pp.1702-1704
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    • 1997
  • 본 논문은 HDPE 필름의 절연성능을 평가하기 위하여 절연파괴강도의 결과를 Weibull분에 적용하였다. 각 절연파괴강도의 Weibull분포로부터 형의 모수를 구하였다. 또한 Weibull분포의 활용은 2개 및 3개의 모수법을 각각 적용시켜 절연파괴강도의 평가를 하였다. HDPE 필름을 열화시켜, 형의 모수변화를 비교하였다. 이와같은 Weibull분포의 활용은 절연성능과 수명의 평가를 통계적으로 평가코져 한다.

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Comparative Analysis of Flood Frequency by L-moment in Weibull-3 and GEV Distributions (Weibull-3및 GEV 분포모형의 L-모멘트법에 의한 홍수빈도 비교분석)

  • 이순혁
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.41 no.4
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    • pp.25-29
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    • 1999
  • This study was conducted to derive optimal design floods by Gerneralized Extreme Value(GEV) and Weibull-3 distributions for the annual maximum series at ten watersheds along Han,Nagdong, Geum, Yeongsan and Seomjin reiver systems. Adequency for the analysis of flood data used in this study was established by the tests of Independence. Homogeneity , detection of Outlines, L-moments. Design flood sobtaine dby /methods of Moments and L-Moments using different methods for plotting positions in BEV and Weibull-3 distributions were compared by the Relative Mean Errors(RME) and Root MEan Square Errors(RMSE). The result wa found that design floods derived by the L-moments using the other formulas for plotting positions from the viewpoint of Relative Mean Errors and Root Mean Square Errors.

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Application of Weifull강s Theory to Evaluation of Strength for Ceramic Fibers (Ceramic 섬유의 강도 평가에 대한 Weibll 이론의 적용)

  • 이지환;김현수;한상훈
    • Journal of the Korean Ceramic Society
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    • v.27 no.8
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    • pp.1043-1049
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    • 1990
  • In this work, strength of ceramic fibers and monofilament composites were evaluated on the basis of Weibull's theory. The fibers used were β-SiC and γ-Al2O3 monofilament composites was fabricated by coating Al on the fiber surface by the use of vacuum evaporation method. Average tensile strength of ceramic fibers showed the tendency to linearly decrease with increasing gauge length. Also, Weibull moduli of ceramic fibers were decreased with increasing gauge length, Weibull modulus of β-SiC was 3.5 for 6-50mm, 2.8 for 100-200mm. Weibull modulus of γ-Al2O3 was 6.5 for 20-50mm, 6 for 100mm. Fibers in monofilament retained their original as-produced strength to exposure temperature of 400℃. However, tensile strength of both monofilament composites approved to remarkably degrade due to interfacial reaction-induced flaws on the fiber surface after thermal exposure of 600℃. In this case, Weibull modulus of monofilament composites was 2.7 for β-SiC and 5.2 for γ-Al2O3 respectively.

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Nonparametric Bayesian estimation on the exponentiated inverse Weibull distribution with record values

  • Seo, Jung In;Kim, Yongku
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.3
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    • pp.611-622
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    • 2014
  • The inverse Weibull distribution (IWD) is the complementary Weibull distribution and plays an important role in many application areas. In Bayesian analysis, Soland's method can be considered to avoid computational complexities. One limitation of this approach is that parameters of interest are restricted to a finite number of values. This paper introduce nonparametric Bayesian estimator in the context of record statistics values from the exponentiated inverse Weibull distribution (EIWD). In stead of Soland's conjugate piror, stick-breaking prior is considered and the corresponding Bayesian estimators under the squared error loss function (quadratic loss) and LINEX loss function are obtained and compared with other estimators. The results may be of interest especially when only record values are stored.

Evaluating the Output of Small-size Wind Power Generators Using Weibull Data (와이블데이터를 이용한 소형풍력발전기 출력에 대한 평가)

  • You, Ki-Pyo;Kim, Young-Moon
    • Journal of the Korean Solar Energy Society
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    • v.32 no.2
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    • pp.95-104
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    • 2012
  • This study purposed to predict wind energy for small size wind power generators at 50m above the ground in each area using mean wind speed data for 10 minutes collected from 2001 to 2011 by meteorological data in large cities having over 60% of 15 story (50m) or higher apartments including Seoul, Daejeon, Gwangju and Daegu representing the inland region, and Busan, Incheon and Ulsan representing the coastal region. In the results of analysis, we confirmed close agree ment between observatory weather data and probability density distribution obtained using Weibull's parameters, and this suggests that Weibull's parameter is applicable to the estimation of wind energy. Hourly output energy using the mean wind speed for 10 minutes and output energy obtained from Weibull's parameter showed an error less than 5%, and thus it was found that wind energy can be evaluated using Weibull's modulus.

Development of accelerated life test method for mechanical components using Weibull-IPL(Inverse Power Law) model (와이블-역승법을 이용한 기계류부품의 가속시험 방법 개발)

  • Lee, Geun-Ho;Kim, Hyoung-Eui;Kang, Bo-Sik
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.445-450
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    • 2003
  • This study was performed 10 develop the accelerated life test method using Weibull-IPL(Inverse Power Law) model for mechanical components. Weibull-IPL model is concerned with determining the assurance life with confidence level and the accelerated life test time From the relation of weibull distribution factors and confidence limit, the testing times on the no number of failure acceptance criteria arc determined. The mechanical components generally represent wear and fatigue characteristics as a failure mode. IPL based on the cumulative damage theory is applied effectively the mechanical components to reduce the testing time and to achieve the accelerating test conditions. As the actual application example, accelerated life test method of agricultural tractor transmission was described. Life distribution of agricultural tractor transmission was supposed to follow Weibull distribution and life test time was calculated under the conditions of average life (MTBF) 3,000 hours and 90% confidence level for one test sample. According to IPL, because test time call be shorten in case increase test load test time could be reduced by 482 hours when we put the load 1.1 times of rated load than 0.73 times of rated load that is equivalent load calculated by load spectrum of the agricultural tractor. This time, acceleration coefficient was 11.7.

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On the Support Region of a Minimum Mean-Square Error Scalar Quantizer for a Weibull Source (Weibull 신호원에 최적인 양자기의 지지역에 관한 연구)

  • Lim, Sil-Kyu;Na, Sang-Sin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.1C
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    • pp.129-139
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    • 2004
  • This paper studies the support region of an optimum (minimum mean-squre error) fixed-rate scalar quantizer for a Weibull source. The support region is defined to be the interval determined by the outermost thresholds of a quantizer and plays an important role in its performance, and hence it motivates this study. The paper reports the following specific results. First, approximation formulas are derived for the outermost thresholds of optimum scalar quantizers for a Weibull distributions. Second, in the case of Rayleigh and exponential distributions the derived approximation formulas are compared for the evaluation of their accuracy with the true values of optimum quantizers. Numerical results show that the formula for the leftmost threshold stays within 1% of the true value for 128 and 256 quantization points or more, for Rayleigh and exponential distribution, respectively, while that for the rightmost threshold does so for 512 and 32 quantization points or more. These formulas exhibit increased accuracy with the number of quantization points. In conclusion, the formulas have high accuracy. The contribution of the paper consists in the derivation of closed accurate formulas for the support of optimum.

Estimating Diameter Distribution with the Weibull Distribution -Case of Korea Black pine (Pinus thunbergii) Stands on the Eastern Sea Coast of Korea- (Weibull분포(分布)에 의한 직경분포추정(直徑分布推定)에 관한 연구(硏究) - 동해안일대(東海岸一帶) 해송림(海松林)을 중심(中心)으로 -)

  • Yun, Jong Wha;Cho, Hyun Kook
    • Journal of Korean Society of Forest Science
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    • v.80 no.4
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    • pp.420-426
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    • 1991
  • This study was conducted to provide fundamental information to make rational management planning in eastern seacoast forest, mainly composed of black pine (Pinus Thunbergii), Kangweon Province. Diameter distribution was estimated by the method of Weibull distribution. The results were as fallows ; 1. Average diameter in the eastern seacoast forests of Kangweon Province was 10.3cm, and the average D. B. H, of 16 study sites ranged from 6.9 to 14.6cm. 2. Parameters of the Weibull distribution were estimated in each study sites and the estimated parameters of the all study forests were a=5, b=5.6997 and c=1.4079. 3. Tested by Kolmogorov-Smirnov method for the significant differences between actual and estimated diameter distribution, the result showed that estimated values were well fitted to the actual ones at 5% significance level.

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Sigmoid Curve Model for Software Test-Effort Estimation (소프트웨어 시험 노력 추정 시그모이드 모델)

  • Lee, Sang-Un
    • The KIPS Transactions:PartD
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    • v.11D no.4
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    • pp.885-892
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    • 2004
  • Weibull distribution Iincluding Rayleigh and Exponential distribution is a typical model to estimate the effort distribution which is committed to the software testing phase. This model does not represent standpoint that many efforts are committed actually at the test beginning point. Moreover, it does not properly represent the various distribution form of actual test effort. To solve these problems, this paper proposes the Sigmoid model. The sigmoid function to be applicable in neural network transformed into the function which properly represents the test effort of software in the model. The model was verified to the six test effort data which were got from actual software projects which have various distribution form and verified the suitability. The Sigmoid model nay be selected by the alternative of Weibull model to estimate software test effort because it is superior than the Weibull model.

Evaluation of Two Kinetic Models on the Inactivation of Major Foodborne Pathogens by Aqueous Chlorine Dioxide Treatment (이산화염소수 처리에 의한 주요 식중독균의 불활성화에 관한 두 kinetic models의 비교)

  • Lee, Ji-Hye;Song, Hyeon-Jeong;Song, Kyung-Bin
    • Food Science and Preservation
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    • v.18 no.3
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    • pp.423-428
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    • 2011
  • Inactivation kinetic data of Escherichia coli O157:H7, Listeria monocytogenes, Staphylococcus aureus, Salmonella Typhimurium, and Salmonella Enteritidis via treatment with aqueous chlorine dioxide treatment at a specific concentration were evaluated using the first-order kinetic and Weibull models. The Weibull model showed a better fit with the kinetic data than the first-order kinetic model. The survival curves after the aqueous chlorine dioxide treatment showed $t_R$ values(time required to reduce microbial populations by 90%) of 2.49 min for E. coli O157:H7 at 5 ppm, 1.47 min for L. monocytogenes at 5 ppm, 0.94 min for S. aureus at 5 ppm, 0.87 min for S. Typhimurium at 1 ppm, and 0.08 min for S. Enteritidis at 1 ppm, according to the Weibull model.