• 제목/요약/키워드: lognormal distribution

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쿨터카운터(Coulter Counter)를 이용한 극지 눈시료 중 광물성 먼지의 입자크기분포 분석 (Particle Size Distribution Analysis of Mineral Dust in Polar Snow Using a Coulter Counter)

  • 강정호;황희진;홍상범;허순도
    • Ocean and Polar Research
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    • 제36권4호
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    • pp.319-326
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    • 2014
  • Mineral dust in the polar snow plays an important role both in the climate system of the Earth and in global biogeochemical cycles. Analysis of the concentration and the particle size distribution of mineral dust has been carried out in the snow from the Antarctic surface snow and the Greenland snowpit. Among the various particle size determination techniques, a Multisizer 3 Coulter Counter in a class 100 clean bench counted all particles between 1.1 and $30.0{\mu}m$ with a $50{\mu}m$ aperture tube. The aperture tube size, the concentration of electrolytes and the accuracy of the particle size distribution were determined in this study. The number concentrations from the Antarctic surface snow were 81,843 particles $mL^{-1}$, but those from the Greenland snowpit were 10,666 particles $mL^{-1}$. In the volume distribution, the distributions of mineral dust in both the Antarctic surface snow and the Greenland snowpit showed lognormal distribution in the size interval 1.1 to $6.0{\mu}m$ with the mode, 3.562 and $3.836{\mu}m$, respectively. The analysis technique using a coulter counter for mineral dust could be used for reconstructing paleoclimates from polar ice cores.

한국 연안 심해파의 통계적 특성 (Statistical Characteristics of Deepwater Waves along the Korean Coast)

  • 서경덕;권혁동;이동영
    • 한국해안·해양공학회논문집
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    • 제20권4호
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    • pp.342-354
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    • 2008
  • 다양한 파랑 관측 및 후측 자료를 이용하여 한국 연안의 심해파 통계 특성을 연구하였다. 설계파에 준하는 큰 파랑에 대해서는, 유의파고와 유의파주기 사이의 관계에 대하여 1977년 Shore Protection Manual 공식과 2003년 Goda 공식의 평균값을 사용하는 것이 바람직하다. 일정한 유의파고에 대하여 평균값으로 무차원화 시킨 유의파주기의 표준편차는 해역과 유의파고의 범위에 따라 0.04부터 0.21까지 변하며 전형적인 값은 0.1이다. 한반도 주변 106개 연안 격자점에서의 심해 주파향의 평균과 표준편차를 제시하였다. 비교적 큰 파랑에 대한 방향분산계수 $s_{max}$의 확률밀도함수는 대수정규분포로 표시된다. 우리나라 연안에서 가장 적합한 주파수 스펙트럼은 TMA 스펙트럼이다. 스펙트럼 첨두증대계수 $\gamma$의 확률밀도함수 또한 대수정규분포로 표시되며, 북해에서의 값과 비슷한 2.94의 평균값을 보인다.

모 규조토 가공업체의 규조토 분진 폭로평가 및 개선방향에 관한 연구 (A Study Evalucation of Worker Exposure to Diatomaceous Earth Dust and Engineering Control in a Diatomite Factory)

  • 정희경;김지용;정해관;임현술
    • 한국산업보건학회지
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    • 제4권1호
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    • pp.81-95
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    • 1994
  • This study was performed in a diatomite factory where silicosis had been found at October, 1993. The major objectives were to evaluate worker exposure to diatomaceous earth and to present engineering control methods for workplace management. Total and respirable dust of diatomaceous earth were measured. Size distribution of dust was analyzed by applying the multiple diffraction method. Also crystalline silica in respirable dust samples was analyzed qualitatively by X-ray diffraction. The suitable Local Exhaust Ventilation systems for that factory were recommended. The results were as follows. The airborne total and respirable dust concentrations by exposure groups showed approximate normal distribution. The means of total dust exposures at flour maufacturing, fire brick grinding and packaging, ceramic raws packaging processes exceeded Korean and ACGIH standards, $10mg/m^3$. The means of total and respirable dust concentrations to high exposure groups were 6.8 and 3.9 times higher than those of low expousre groups, respectively. The size distribution of diatomaceous earth dust was lognormal with a median diameter of $7.07{\mu}m$(range, $0.10-60.0{\mu}m$) and with a geometric standard deviation of 1.43. The crystalline silica in respirable dust samples was identified to quartz and cristobalite and/or tridymite. Above results suggest that engineering controls and periodic environmental and medical surveillances will be important for preventing silicosis in the diatomite factory.

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강교 부재의 피로손상에 대한 신뢰성 해석 (Reliability Analysis for Fatigue Damage of Steel Bridge Details)

  • 박연수;한석열;서병철
    • 한국강구조학회 논문집
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    • 제15권5호통권66호
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    • pp.475-487
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    • 2003
  • 본 연구는 선형탄성 파괴역학적 방법을 사용하여 피로 손상을 평가할 수 있는 해석모델을 개발하는데 있다. 트럭 한 대가 교량상부를 통과할 때 부재에 발생하는 응력이력을 블록하중이라 정의하고 하중상호작용효과를 설명하는 균열닫힘 모델 이론을 적용한다. 블록하중에 대해 사하중 응력과 균열개구응력을 고려하여 응력범위빈도해석을 수행하였다. 여기서 구한 응력범위빈도분포에 확률적 방법을 적용하여 응력범위빈도분포의 확률분포 파라미타를 추 정하였다. 확률분포의 확률변수를 발생시키는 Monte Carlo Simulation 실행을 하여 파괴블럭수와 확률분포를 구한다. 이로부터 부재의 파로파괴가 발생하지 않는 피로신뢰성을 계산한다. 또한 파괴블럭수를 일평균 트럭교통량으로 나누면 예상잔존수명을 구할 수 있다. 제안된 피로신뢰성 해석모델을 사용하여 강상자형교 가로보와 수직보강개의 용접부에 피로신뢰성 해석을 수행 한 결과, 피크해석방법 결과와 잔존수명이 3.8% 정도 차이가 있었다. 이는 제안된 모델이 균열닫힘 현상이나 균열지연 형상을 고려하고 있음을 알 수 있었다.

불균질지층내 지하수 유동의 확률론적 분석 : 무작위성 분포 재생을 통한 가상적 수리시험 (Stochastic Simulation of Groundwater Flow in Heterogeneous Formations: a Virtual Setting via Realizations of Random Field)

  • Lee, Kang-Kun
    • 대한지하수환경학회지
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    • 제1권2호
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    • pp.90-99
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    • 1994
  • 수리전도도의 대수값이 정규 분포를 갖고 또 공간적 상관관계를 갖는 무작위 변수라는 가정하에 지하수 유동영역 안에서 불균질한 수리전도도를 발생시켰다. 발생된 수리전도도의 거리에 따른 공분산값의 변화는 이론적으로 제시되는 변화와 잘 일치된다. 지하수위와 수리전도도는 확률론적으로 작용하는 무작위 변수들로 보고 수리 전도도와 지하수위에 대한 확률 통계적 분석을 위해 몬테카를로 시뮬레이션 방법과 유한요소법을 이용하였다. 지하수위와 수리전도도의 분산값은 지하수 유동영역의 점원, 경계조건, 수위구배, 흐름방향 및 상관 거리에 따라 특징적인 분포를 보인다. 특히 수위와 수리전도도간의 공분산값이 음수인 영역은 유동 시스템의 변화에 영향을 거의 받지 않는 영역으로 볼 수 있어서 영향권의 도출과 관계시킬 수 있다.

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폐수특성 및 처리기술에 근거한 산업폐수 배출허용기준 설정체계 연구 (Establishment of Effluent Limitation based on Wastewater Characteristics and Treatment Technology)

  • 권오상;정진영;허태영;전항배;이연희;박상민
    • 한국물환경학회지
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    • 제28권6호
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    • pp.804-812
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    • 2012
  • This study contemplated domestic and other country's effluent limitation standards and suggested a methodology to establish technology-base limitation value. Current effluent limitation regulates industrial point sources discriminated by discharge flow rate and by regional distinction in Korea. Discharged $BOD_5$ load from large-scale plants(flow rate above $2,000\;m^3/day)$ exceeds 50% of overall industrial wastewater, which present rationale for discrimination based on plant size. However, regional distinction and pollutant- specific regulation might be insufficient to meet practical effectiveness of wastewater management policy, due to the nearly same limitation. Water quality data and treatment methods were investigated in hospital industry. And their distribution of effluent $BOD_5$ concentrations was statistically analyzed to suggest limitation value. Effluent $BOD_5$ concentrations showed lognormal distribution and $95^{th}$ percentile was corresponded to 87.9 mg/L, which could be suggested as tentative effluent limitation in hospital industry. The $95^{th}$ percentile of log-transformed distribution showed similar value of 86.5 mg/L. This study demonstrated reasonable methodology for establishing effluent limitation reflecting wastewater characteristic and treatment technology in separately categorized industry.

자동차용 머플러의 피로수명평가를 위한 통계적 분석 (Statistical Analysis for Fatigue Life Evaluation of Vehicle Muffler)

  • 최지훈;이용준;윤진호;강성수
    • 대한기계학회논문집A
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    • 제37권3호
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    • pp.365-372
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    • 2013
  • 한정된 수량의 시험편만으로 자동차용 머플러의 신뢰도 높은 내구수명데이터를 얻기 위하여 통계적 피로수명 평가법을 이용하였다. 시험품은 실제 차량에 적용되는 것과 동일하게 제작하였고, 하중제어 반복굽힘 피로시험을 수행하였다. 피로시험을 통해 얻은 데이터를 정규분포, 대수정규분포, 와이블분포로 적용하여 각각의 곡선들을 비교하였으며 와이블분포의 경우 최우추정법, 최소제곱법, 가중치를 적용한 최소제곱법을 이용하여 모수를 각각 추정하였다. 각각의 확률분포에 대해 적합도 검정을 수행하였으며 최종적으로 최소제곱법을 이용한 와이블분포가 선정되었다. 선정된 와이블분포로 피로특성을 반영한 확률-모멘트-수명 곡선(P-M-N Curve)을 제시함으로서 자동차용 머플러의 신뢰성 설계를 위한 기초자료로써 활용이 가능하도록 하였다.

Statistical analysis and probabilistic modeling of WIM monitoring data of an instrumented arch bridge

  • Ye, X.W.;Su, Y.H.;Xi, P.S.;Chen, B.;Han, J.P.
    • Smart Structures and Systems
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    • 제17권6호
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    • pp.1087-1105
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    • 2016
  • Traffic load and volume is one of the most important physical quantities for bridge safety evaluation and maintenance strategies formulation. This paper aims to conduct the statistical analysis of traffic volume information and the multimodal modeling of gross vehicle weight (GVW) based on the monitoring data obtained from the weigh-in-motion (WIM) system instrumented on the arch Jiubao Bridge located in Hangzhou, China. A genetic algorithm (GA)-based mixture parameter estimation approach is developed for derivation of the unknown mixture parameters in mixed distribution models. The statistical analysis of one-year WIM data is firstly performed according to the vehicle type, single axle weight, and GVW. The probability density function (PDF) and cumulative distribution function (CDF) of the GVW data of selected vehicle types are then formulated by use of three kinds of finite mixed distributions (normal, lognormal and Weibull). The mixture parameters are determined by use of the proposed GA-based method. The results indicate that the stochastic properties of the GVW data acquired from the field-instrumented WIM sensors are effectively characterized by the method of finite mixture distributions in conjunction with the proposed GA-based mixture parameter identification algorithm. Moreover, it is revealed that the Weibull mixture distribution is relatively superior in modeling of the WIM data on the basis of the calculated Akaike's information criterion (AIC) values.

Tight Bounds and Invertible Average Error Probability Expressions over Composite Fading Channels

  • Wang, Qian;Lin, Hai;Kam, Pooi-Yuen
    • Journal of Communications and Networks
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    • 제18권2호
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    • pp.182-189
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    • 2016
  • The focus in this paper is on obtaining tight, simple algebraic-form bounds and invertible expressions for the average symbol error probability (ASEP) of M-ary phase shift keying (MPSK) in a class of composite fading channels. We employ the mixture gamma (MG) distribution to approximate the signal-to-noise ratio (SNR) distributions of fading models, which include Nakagami-m, Generalized-K ($K_G$), and Nakagami-lognormal fading as specific examples. Our approach involves using the tight upper and lower bounds that we recently derived on the Gaussian Q-function, which can easily be averaged over the general MG distribution. First, algebraic-form upper bounds are derived on the ASEP of MPSK for M > 2, based on the union upper bound on the symbol error probability (SEP) of MPSK in additive white Gaussian noise (AWGN) given by a single Gaussian Q-function. By comparison with the exact ASEP results obtained by numerical integration, we show that these upper bounds are extremely tight for all SNR values of practical interest. These bounds can be employed as accurate approximations that are invertible for high SNR. For the special case of binary phase shift keying (BPSK) (M = 2), where the exact SEP in the AWGN channel is given as one Gaussian Q-function, upper and lower bounds on the exact ASEP are obtained. The bounds can be made arbitrarily tight by adjusting the parameters in our Gaussian bounds. The average of the upper and lower bounds gives a very accurate approximation of the exact ASEP. Moreover, the arbitrarily accurate approximations for all three of the fading models we consider become invertible for reasonably high SNR.

확률분포모형을 이용한 하루살이속(Ephemera) 종들의 물리적 미소서식처 적합도 평가 (Estimation on Physical Microhabitat Suitability for Species of the Mayfly Genus Ephemera (Ephemeroptera: Ephemeridae) Using Probability Distribution Models)

  • 공동수;송재하
    • 한국물환경학회지
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    • 제39권5호
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    • pp.396-412
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    • 2023
  • Species from the mayfly genus Ephemera (Order Ephemeroptera) was assessed for their physical microhabitat suitability (namely E. strigata, E. separigata, and E. orientalis-sachalinensis). Probability distribution models (Exponential, Normal, Lognormal, Logistic, Weibull, Gamma, Beta, and Gumbel) based on the data collected from 23,957 sampling units of 6,787 sites in Korea from 2010 to 2021 were used. Mode and standard deviation calculated from the best-fitting models to species distribution along a water depth gradient were 265 cm and 159 cm in E. orientalis-sachalinensis; 10 cm and 83 cm in E. strigata; 20 cm and 15 cm in E. separigata, respectively. The current velocity gradient was 22 cm/s and 40 cm/s in E. orientalis-sachalinensis; 60 cm/s and 53 cm/s in E. strigata; 82 cm/s and 25 cm/s in E. separigata, respectively. The mean diameter (phi scale) of substrate grains were -3.6 and 2.2 in E. orientalis-sachalinensis; -7.4 and 1.5 in E. strigata; -5.8 and 0.9 in E. separigata, respectively. Habitat suitability range of E. orientalis-sachalinensis was estimated to be 161~369 cm (water depth), 5~44 cm/s (current velocity), -5.2~-2.0 (mean diameter); 3~34 cm (water depth), 36~94 cm/s (current velocity), -8.1~-6.3 (mean diameter) for E. strigata; 12~32 cm (water depth), 63~96 cm/s (current velocity), -6.3~-5.2 (mean diameter) for E. separigata. In relative comparison, E. orientalis-sachalinensis was estimated to be rheophobic, eurybathophilic, and eurypsephophilic; E. strigata to be euryrheophilic, bathophobic, and lithophilic; E. separigata to be stenomesorheophilic, stenobathophobic, stenolithophilic.