• Title/Summary/Keyword: Log distribution

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Characteristic of Raindrop Size Distribution Using Two-dimensional Video Disdrometer Data in Daegu, Korea (2차원 광학 우적계 자료를 이용한 대구지역 우적크기분포 특성 분석)

  • Bang, Wonbae;Kwon, Soohyun;Lee, GyuWon
    • Journal of the Korean earth science society
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    • v.38 no.7
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    • pp.511-521
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    • 2017
  • This study analyzes Two-dimensional video disdrometer (2DVD) data while summer 2011-2012 in Daegu region and compares with Marshall and Palmer (MP) distribution to find out statistical characteristics and characteristics variability about drop size distribution (DSD) of Daegu region. As the characterize DSD of Daegu region, this study uses single moment parameters such as rainfall intensity (R), reflectivity factor (Z) and double moment parameters such as generalized characteristics number concentration ($N{_0}^{\prime}$) and generalized characteristics diameter ($D{_m}^{\prime}$). Also, this study makes an assumption that DSD function can be expressed as general gamma distribution. The results of analysis show that DSD of Daegu region has ${\log}_{10}N{_0}^{\prime}=2.37$, $D{_m}^{\prime}=1.04mm$, and c =2.37, ${\mu}=0.39$ on average. When the assumption of MP distribution is used, these figures then end up with the different characteristics; ${\log}_{10}N{_0}^{\prime}=2.27$, $D{_m}^{\prime}=0.9mm$, c =1, ${\mu}=1$ on average. The differences indicate liquid water content (LWC) of Daegu distribution is generally larger than MP distribution at equal Z. Second, DSD shape of Daegu distribution is concave upward. Other important facts are the characteristics of Daegu distribution change when Z changes. DSD shape of Daegu region changes concave downward (c =2.05~2.55, ${\mu}=0.33{\sim}0.77$) to cubic function-like shape (c =3.0, ${\mu}=-0.13{\sim}-0.33$) at Z > 45 dBZ. 35 dBZ ${\leq}$ Z > 45 dBZ group of Daegu distribution has characteristics similar to maritime cluster of diverse climate DSD study. However, Z > 45 dBZ group of Daegu distribution has a difference from the cluster.

A Study on Evaluation for Sampling and Analytical Methods of Diatomaceous Earth Dust (규조토 분진 측정 및 분석 방법의 비교에 관한 연구)

  • Lim, Hyun Sul;Kim, Ji Yong;Cheong, Hoe Kyeong
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.5 no.2
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    • pp.212-225
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    • 1995
  • This study was performed in a diatomite factory located at Pohang City, Kyeongsangbuk-Do. The major objectives were to evaluate sampling and analytical methods of diatomaceous earth dust. Concentrations of total and respirable diatomaceous earth dust were measured. Size distribution of dust was analyzed by a personal cascade impactor and the particle size analyzer which is an application of multiple diffraction method. Also crystalline silica in respirable and total dust samples was analyzed quantitatively by X-ray diffraction and Fourie Transform Infrared Spectroscopy(FTIR). The results were as follows: The airborne total and respirable dust concentrations, particle size distribution, and cristalline silica(quartz) concentrations showed approximately a log-normal distribution. The means of totaldust concentrations at flour maufacturing, fire brick grinding and packaging processes exceeded the Korean and American Conference of Governmental Industrial Hygienists standards, $10mg/m^3$. The size distribution of diatomaceous earth dust was log-normal and identified as the rspirable particle mass and thoracic particle mass. The crystalline silica in respirable and total dust samples was identified to quartz and contained about 10 % in those samples. Finally, it is necessary to study the applicability of multiple diffraction for particle size distribution to compare the ACGIH's size selective sampling with other materials containing crystalline silica. Also, advanced quantitative study to X-ray diffraction and FTIR methods shoud be carried out 10 verify general and specific characteristics for respirable crystalline silica.

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A Simulation Study on The Discounted Cost Distribution under Age Replacement Policy

  • Dohi, Tadashi;Ashioka, Akira;Kaio, Naoto;Osaki, Shunji
    • Industrial Engineering and Management Systems
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    • v.3 no.2
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    • pp.134-139
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    • 2004
  • During the last three decades, a few attentions have been paid for investigating the cost distribution for the optimal maintenance problems. In this article, we derive the moment of the discounted cost distribution over an infinite time horizon for the basic age replacement problem. With first two moments of the discounted cost distribution, we approximate the underlying distribution function by three theoretical distributions. Through a Monte Carlo simulation, we conclude that the log-normal distribution is the best fitted one to approximate the discounted cost distribution.

Power t distribution

  • Zhao, Jun;Kim, Hyoung-Moon
    • Communications for Statistical Applications and Methods
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    • v.23 no.4
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    • pp.321-334
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    • 2016
  • In this paper, we propose power t distribution based on t distribution. We also study the properties of and inferences for power t model in order to solve the problem of real data showing both skewness and heavy tails. The comparison of skew t and power t distributions is based on density plots, skewness and kurtosis. Note that, at the given degree of freedom, the kurtosis's range of the power t model surpasses that of the skew t model at all times. We draw inferences for two parameters of the power t distribution and four parameters of the location-scale extension of power t distribution via maximum likelihood. The Fisher information matrix derived is nonsingular on the whole parametric space; in addition we obtain the profile log-likelihood functions on two parameters. The response plots for different sample sizes provide strong evidence for the estimators' existence and unicity. An application of the power t distribution suggests that the model can be very useful for real data.

Comparison study on kernel type estimators of discontinuous log-variance (불연속 로그분산함수의 커널추정량들의 비교 연구)

  • Huh, Jib
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.1
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    • pp.87-95
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    • 2014
  • In the regression model, Kang and Huh (2006) studied the estimation of the discontinuous variance function using the Nadaraya-Watson estimator with the squared residuals. The local linear estimator of the log-variance function, which may have the whole real number, was proposed by Huh (2013) based on the kernel weighted local-likelihood of the ${\chi}^2$-distribution. Chen et al. (2009) estimated the continuous variance function using the local linear fit with the log-squared residuals. In this paper, the estimator of the discontinuous log-variance function itself or its derivative using Chen et al. (2009)'s estimator. Numerical works investigate the performances of the estimators with simulated examples.

Estimation of Contamination Level of Listeria monocytogenes in meat and meat products Using Probability Approaches (확률적 접근방법을 이용한 식육에서의 Listeria monocytogenes 오염수준 산출)

  • Park, Gyung-Jin;Kim, Sung-Jo;Shim, Woo-Chang;Chun, Seok-Jo;Choi, Eun-Young;Choi, Weon-Sang;Hong, Chong-Hae
    • Journal of Food Hygiene and Safety
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    • v.18 no.3
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    • pp.107-112
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    • 2003
  • Probabilistic exposure assessment has been recognized as an important tool in microbial risk assessment, because of obtained the desired results to characterize of variability and uncertainty associated with the microbial hazards. In addition, it will be provided much more actuality information than the point-estimate approaches. In this study, we present methodology using mathematical probability distribution in exposure assessment and estimating of contamination level of Listeria monocytogenes in meat and meat products as a case study. The result of estimation contaminatin level was mean ($50^{th}$ percentile) -4.08 Log CFU/g minimum ($5^{th}$ percentile) -4.88 Log CFU/g, maximum ($95^{th}$ percentile) -3.56 Log CFU/g.

Prevalence and Thermal Stability of Enterobacter sakazakii from Unprocessed Ready-to-Eat Agricultural Products and Powdered Infant Formulas

  • Jung, Mi-Kyoung;Park, Jong-Hyun
    • Food Science and Biotechnology
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    • v.15 no.1
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    • pp.152-157
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    • 2006
  • Enterobacter sakazakii, designated as an unique microbial species in 1980, may cause bacteremia, necrotizing enterocolitis and infant meningitis. The distribution and the thermostability of E. sakazakii in unprocessed ready-to-eat (RTE) agricultural products of 252 and in 25 powdered infant formulas (PIF) were analyzed. Eighty one, 50, 43, and 47% of brown rice, pumpkin, potato, and carrot samples, respectively, had aerobic plate counts (ARC) in the range of 5 log CFU/g or more. Almost all the other products sampled had APC of approximately 2 log CFU/g. Fifty three, 75, 67, and 68% of banana, pumpkin, soybean, and carrot had Enterobacteriaceae counts approximating 3 log CFU/g. Sixty six percent of the brown rice tested had Enterobacteriaceae counts approximating 5-6 log CFU/g. E. sakazakii was isolated from 3/25(12%), 4/23(17%), 1/24(4%), and 1/27(4%) of PIF, brown rice, laver, and tomato samples, respectively. D-values were 3.52-4.79 min at 60 and $D_{60}-values$ were similar as the isolates reported. Thermal inactivation of four thermovariant E. sakazakii strains during the rehydration of PIF with hot water were investigated. At $50^{\circ}C$, the levels of E. sakazakii decreased one log CFU/g for 4-6 min and thereafter the levels remained stable for 20 min. At $60^{\circ}C$, inactivation by about 2 log CFU/g occurred for 20 min. Therefore, the unprocessed agricultural products might be a source of contamination for PIF when used as an ingredient after drying and pulverization. Rehydration of PIF for infant feeding with a water temperature of $60^{\circ}C$ rather than $50^{\circ}C$, as recommended by the manufacturers, may be helpful in the reduction of potential E. sakazakii risk.

Size Distribution of Suspended Cohesive Sediment (점착성 유사의 입도분포 특성 분석)

  • Son, Minwoo;Park, Byeoung Eun;Byun, Jisun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.246-246
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    • 2019
  • 점착성 유사는 비점착성 유사보다 작은 입자 크기를 가지며 전자기적 점착력에 의해 연속적인 응집과 파괴의 과정인 응집현상을 겪는다. 응집현상에 의해 생긴 유사 덩어리를 플럭(Floc)이라고 하며 유사의 응집현상은 점착성 유사가 가지는 입자 크기, 침강속도, 밀도를 변화시킨다. 유사의 이동은 크기, 침강속도, 밀도에 영향을 받는다. 따라서 점착성 유사의 여러 특성에 관여하는 입자의 크기에 대한 충분한 이해는 점착성 유사의 이동을 파악하는 데에 필수적이다. 본 연구에서는 점착성 유사의 여러 특성 중, 입자 크기 분포에 대한 특성을 분석하는 것을 수행하였다. 일반적으로 점착성 유사의 연구에서 입도 분포는 Log-normal 분포로 가정하여 사용되고 있다. 그러나 그 적합성에 대해서는 검증된 바가 없다. 따라서 과거 연구에서 조사된 점착성 유사의 입도 분포 자료를 현장에서 측정된 자료와 실험실에서 측정된 자료로 나누어 수집한 후, 표본에 통계학적인 방법인 적합도 검정을 사용하여 실제 어떠한 분포를 모사하는지 살펴보았다. 적합도 검정은 Kolmogorov- Smirnov (K-S)검정을 이용하였으며 K-S 검정의 결과가 유의수준 5%를 통과하는 경우 가정된 분포가 실제 표본을 잘 모사하는 것으로 판단하였다. 적합도 검정 결과, 점착성 유사의 입도 분포는 현장 실험과 실험실 실험에서 다른 특징을 나타내었다. 현장 실험의 경우 입도 분포의 형태가 지수 분포의 형태를 나타내는 경우가 많았으며 Gamma 분포가 우수하게 모사하였다. 실험실 실험의 입도 분포는 일반적인 양의 왜곡도를 가지는 분포를 그렸으며 GEV 분포와 Gamma 분포가 우수하게 모사하였다. 두 경우 모두 Log-normal 분포가 적합하다고 판단되는 경우는 많지 않았다. 그러나 Log-normal 분포에 위치 매개변수를 추가하여 3 매개변수의 분포로 모사한 경우 유의수준 5%를 통과하는 경우가 크게 증가하였다. 향후에는 점착성 유사의 입도 분포를 모사하고 사용함에 있어 Log-normal 분포를 무조건적으로 이용하는 것은 지양해야할 것으로 판단된다. 2 매개변수의 분포를 점착성 유사의 입도분포로 사용할 경우, Gamma 분포를 추천하며, 기존에 사용되던 Log-normal 분포를 사용할 경우 위치 매개변수를 추가하여 3 매개변수의 Log-normal 분포를 이용할 것을 추천한다. 또한 점착성 유사의 입도를 모사하는 분포를 개발하여 사용한다면 점착성 유사의 이동과 특성을 연구할 때 가장 중요한 크기 특성에 대한 많은 정보를 제공할 수 있다고 판단된다.

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Microbial quality of fresh vegetables in restaurants around school (학교주변식당 신선 채소류의 미생물 오염도 조사)

  • Jo, So Hyun;Chung, Hyun-Jung;Lee, Seong Hee;Hwang, Su Jung;Om, Ae-Son;Eun, Jong-Bang
    • Food Science and Preservation
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    • v.20 no.3
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    • pp.424-428
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    • 2013
  • Microbiological contamination of 4 vegetables (garlic, red pepper, perilla leaf and lettuce) collected from 10 restaurants around university was examined. The vegetables were evaluated for total plate count, coliforms, psychrophiles, yeast, and Staphylococcus aureus. The results of total plate count showed the highest value as $5.4{\pm}0.69$ log CFU/g in lettuce, following by $4.8{\pm}1.53$ log CFU/g in red pepper, $4.5{\pm}1.65$ log CFU/g in perilla leaf and $3.4{\pm}1.27$ log CFU/g in garlic. The contamination level of coliforms and psychrophiles were highest in red pepper with maximum as 4.7 log CFU/g and 8.2 log CFU/g, respectively. Red pepper of psychrophiles showed the highest average value as $5.0{\pm}1.82$ log CFU/g followed by $4.2{\pm}1.91$ log CFU/g in lettuce, $4.7{\pm}1.55$ log CFU/g in perilla leaf and $2.4{\pm}2.10$ log CFU/g in garlic. The average number of yeasts were highest in perilla leaf with $4.4{\pm}1.41$ log CFU/g and were lowest in garlic with $0.9{\pm}1.41$ log CFU/g. The contamination level of S. aureus was detected in 27 samples among the total 40 samples with the range of 0.5-5.2 log CFU/g. In conclusion, the microbial quality of the fresh vegetables evaluated in this study was not very good. Therefore, it needs to be enhanced through the good sanitation management and production and distribution methods to improve the safety of fresh vegetables.

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.