• Title/Summary/Keyword: Log Normal Distribution

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Statistical Analysis of Thermal Fatigue Life for Automobile bulb (자동차용 전구의 열피로수명의 확률론적 거동)

  • 박상필;오환섭;박종찬;박철희
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2004.04a
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    • pp.160-165
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    • 2004
  • At this research, we examined probability of light bulb's life span value and prediction on purpose to inquire out the span of repeat velocity as fracture probability by executing the fatigue test, which is considered property of Tungsten filament's thermal fatigue used as an automobile bulb. As a result we can confirm what the most suitable solution is weibull distribution and log normal distribution. Tungsten filament's span gets longer as the fatigue repeat velocity gets shorter And, repeat span is about 15%~40% shorter than sequence life span.

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Experimental and Numerical Study of Aerosol Coagulation by Gravitation (에어로졸 입자의 중력응집에 관한 실험 및 수치적 연구)

  • 권순박;이규원
    • Journal of Korean Society for Atmospheric Environment
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    • v.16 no.1
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    • pp.1-10
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    • 2000
  • The behavior of aerosos due to gravitational coagulation was studied experimentally and numerically. In experimental study, the geometric mean particel size increased as time elapsed in a vertical tube column, while the size decreased when the tube was set horizontally. The particle size distribution was observed to maintain the lognormal form during the coagulation process. Separately, numerical calculations were performed for studying the aerosol behavior under gravitational and Brownian coagulation using the moment method. By comparing the expeimented results with the numerical predictions, the governing mechanism of the aerosol behavior proved to be gravitational coagulation.

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Influence of Sample Number on the Estimation of Blasting Coefficients and Limit Scaled Distance (측정수가 발파계수와 허용환산거리의 산정에 미치는 영향)

  • 양형식;전양수;정지문
    • Journal of KSNVE
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    • v.8 no.5
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    • pp.814-820
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    • 1998
  • Vibration data from two blasting sites were analyzed to determine the sufficient sample number for blasting vibration estimation. Most important result is that much more than 30 sample data and succeeding measurement are necessary to estimate confident blasting vibration level and to determine limit scaled distance.

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Determination of the Size Distribution of Magnetite Nanoparticles from Magnetic Measurements

  • Yoon, Sung-Hyun
    • Journal of Magnetics
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    • v.16 no.4
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    • pp.368-373
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    • 2011
  • Particle size distributions in 10 nm magnetite ferrofluids are analyzed based on both dc and ac magnetic measurements. Modified log-normal distributions are used for fitting the experimental results, which allows for a proper account of the narrow distributions. The calculated average particle sizes are in good agreement with the TEM results. However the ac method gives a much narrower distribution width than that of the dc magnetization curve fit. The proposed measurements combined with the analysis methods are useful for the characterization of ferrofluids being considered for biomedical applications.

A Study on Statistical Forecasting Models of PM10 in Pohang Region by the Variable Transformation (변수변환을 통한 포항지역 미세먼지의 통계적 예보모형에 관한 연구)

  • Lee, Yung-Seop;Kim, Hyun-Goo;Park, Jong-Seok;Kim, Hee-Kyung
    • Journal of Korean Society for Atmospheric Environment
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    • v.22 no.5
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    • pp.614-626
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    • 2006
  • Using the data of three environmental monitoring sites in Pohang area(KME112, KME113, and KME114), statistical forecasting models of the daily maximum and mean values of PM10 have been developed. Since the distributions of the daily maximum and mean PM10 values are skewed, which are similar to the Weibull distribution, these values were log-transformed to increase prediction accuracy by approximating the normal distribution. Three statistical forecasting models, which are regression, neural networks(NN) and support vector regression(SVR), were built using the log-transformed response variables, i.e., log(max(PM10)) or log(mean (PM10)). Also, the forecasting models were validated by the measure of RMSE, CORR, and IOA for the model comparison and accuracy. The improvement rate of IOA before and after the log-transformation in the daily maximum PM10 prediction was 12.7% for the regression and 22.5% for NN. In particular, 42.7% was improved for SVR method. In the case of the daily mean PM10 prediction, IOA value was improved by 5.1% for regression, 6.5% for NN, and 6.3% for SVR method. As a conclusion, SVR method was found to be performed better than the other methods in the point of the model accuracy and fitness views.

Effect of Particle Size Distribution on the Sensitivity of Combustion Instability for Solid Rocket Motors (입자 크기 분포도를 고려한 고체로켓 모터의 연소 불안정 민감도 예측)

  • Joo, Seongmin;Kim, Junseong;Moon, Heejang;Ohm, Wonsuk;Lee, Dohyung
    • Journal of the Korean Society of Propulsion Engineers
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    • v.19 no.5
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    • pp.37-45
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    • 2015
  • Prediction of combustion instability within a solid-propellant rocket motor has been conducted with the classical acoustic analysis. The effect of particle size distribution on the instability has been analyzed by comparing the log-normal distribution to the fixed mono-sized particle followed by a survey of motor length scale effect between the baseline model and small scale model. Particle damping effect was more efficient for the small scale motor which has a relatively high unstable mode frequencies. It was also revealed that the prediction results by considering the particle size distribution show an overall attenuation of fluctuating pressure amplitude with respect to the mono-sized case.

Estimation of FDS Prediction Performance on the Operation of Water-Mist (미세물분무 작동에 대한 FDS 예측 성능 평가)

  • Ko, Gwon Hyun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.8
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    • pp.4809-4814
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    • 2014
  • The aim of the present study was to estimate the prediction performance of a FDS (Fire Dynamic Simulator) to simulate the fire behaviors and suppression characteristics by operating a water-mist. Rosin-Rammler/log-normal distribution function was used to determine the initial droplet distribution of water-mist and the effects of its model constant were considered. In addition, the simulation models were validated by a comparison of the predicted fire suppression characteristics with water-mist injection pressures to the previous experiments, and the thermal flow behaviors and gaseous concentration variations were analyzed. The results showed that water-mists with the same mean diameter were affected by the characteristics of the droplet size distribution, which have different size and velocity distributions at the downstream location. The fire simulations conducted in this study determine the initial droplet size distribution tuned to the base of the spray characteristics measured by previous experiments. The simulation results showed good agreement with the previous measurements for temperature variations and fire suppression characteristics. In addition, it was confirmed that the FDS simulation with a water-mist operation supplies useful details on estimations of the thermal flow fields and gaseous concentration under water mist operation conditions.

An Environmental Impact Assessment Based on the Benthic Macrofauna in Chinhae Bay, Korea - An Application of Some Graphic Methods by Distribution Pattern of Individuals Among Species - (해양 저서동물 군집을 이용한 진해만의 환경 평가 - 종별 개체수 분포 특성에 따른 그래프 분석기법의 적용 -)

  • LIM Hyun-Sig;HONG Jae-Sang
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.27 no.5
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    • pp.659-672
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    • 1994
  • Four simple plotting techniques using the distribution of individuals among species were applied and the results discussed to evaluate the methods for detecting organic pollution-induced perturbation in marine benthic communities in Chinhae Bay, Korea: Rarefaction method, Abundance-Biomass Comparison method, Log-Normal Distribution method and Rank-Frequency Diagram method. Their distribution curves offered more information on the community structure than other frequently used diversity indices and distinguished clear evidence of an effect of environmental pollution with gradient. However, the Abundance-Biomass Comparison method could not be considered applicable due to the presence of larger slowly growing K-strategists in a polluted area of the inner Chinhae Bay, Korea.

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Individual-Based Models Applied to Species Abundance Patterns in Benthic Macroinvertebrate Communities in Streams in Response to Pollution

  • Cho, Woon-Seok;Nguyen, Tuyen Van;Chon, Tae-Soo
    • Korean Journal of Ecology and Environment
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    • v.45 no.4
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    • pp.420-443
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    • 2012
  • An Individual-Based Model (IBM) was developed by employing natural and toxic survival rates of individuals to elucidate the community responses of benthic macroin-vertebrates to anthropogenic disturbance in the streams. Experimental models (dose-response and relative sensitivity) and mathematical models (power law and negative exponential distribution) were applied to determinate the individual survival rates due to acute toxicity in stressful conditions. A power law was additionally used to present the natural survival rate. Life events, covering movement, exposure to contaminants, death and reproduction, were simulated in the IBM at the individual level in small (1 m) and short (1 week) scales to produce species abundance distributions (SADs) at the community level in large (5 km) and long (1~2 years) scales. Consequently, the SADs, such as geometric series, log-series, and log-normal distribution, were accordingly observed at severely (Biological Monitoring Working Party (BMWP<10), intermediately (BMWP<40) and weakly (BMWP${\geq}50$) polluted sites. The results from a power law and negative exponential distribution were suitably fitted to the field data across the different levels of pollution, according to the Kolmogorov-Smirnov test. The IBMs incorporating natural and toxic survival rates in individuals were useful for presenting community responses to disturbances and could be utilized as an integrative tool to elucidate community establishment processes in benthic macroin-vertebrates in the streams.

A Study of Unemployment Duration: A Survival Analysis Using Log Normal Model (실업급여 수급권자의 실업기간과 재취업에 관한 실증연구: 모수적 생존모델(Log-Normal Model)을 이용한 분석)

  • Kang, Chul-Hee;Kim, Kyo-Seong;Kim, Jin-Wook
    • Korean Journal of Social Welfare
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    • v.37
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    • pp.1-31
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    • 1999
  • In Korea, little is known about unemployment duration and exit rate from unemployment. This paper empirically examines the duration of unemployment using data for the years 1996 and 1997 on unemployed individuals who are eligible for unemployment insurance benefits in Korea. A parametric survival model (log-normal model) is adopted to identify factors predicting transitions to reemployment. Factors that affect unemployment duration are sex, age, employment duration (year), prior salary, region, prior employment industry, cause of unemployment, officially determined unemployment benefit duration, degree of benefit exhaustion, and amount of benefits for early reemployment. However, education is not statistically significant In degree of benefit exhaustion, the exit rate from unemployment decreases as benefit exhaustion is approached. In amount of benefits for early reemployment, the exit rate from unemployment increases as amount of benefits increases. Hazards for reemployment gradually increase until 80 days after unemployment and gradually decrease in the following period. Thus, we find that distribution of hazards for reemployment has log-normal shapes between inverted U and inverted L This paper takes advantage of a unique analysis about unemployment duration and exit rate from unemployment in the Korean Unemployment Insurance system which functions as the most valuable social safely-net mechanism in the recent national economic crisis. Indeed, this paper provides a basic knowledge about realities of unemployed individuals in the Unemployment Insurance system and identifies research areas that require further study.

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