• Title/Summary/Keyword: Log-normal

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Selecting probability distribution of event mean concentrations from paddy fields (논으로부터 배출되는 유량가중평균 수질농도의 적정 확률분포 선정)

  • Jung, Jaewoon;Choi, Dongho;Yoon, Kwangsik
    • Journal of Environmental Impact Assessment
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    • v.23 no.4
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    • pp.285-295
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    • 2014
  • In this study, we analyzed probability distribution of EMCs (Event Mean Concentration) of COD, TOC, T-N, T-P and SS from rice paddy fields and compared the mean values of observed EMCs and the median values of estimated EMCs ($EMC_{50}$) through probability distribution. The field monitoring was conducted during a period of four crop-years (from May 1, 2008, to September 30. 2011) in a rice cultivation area located in Emda-myun, Hampyeong gun, Jeollanam-do, Korea. Four probability distributions such as Normal, Log-normal, Gamma, and Weibull distribution were used to fit values of EMCs from rice paddy fields. Our results showed that the applicable probability distributions were Normal, Log-normal, and Gamma distribution for COD, and Normal, Log- Normal, Gamma and Weibull distribution for T-N, and Log-normal, Gamma and Weibull distribution for T-P and TOC, and Log-normal and Gamma distribution for SS. Log-normal and Gamma distributions were acceptable for EMCs of all water quality constituents(COD, TOC, T-N, T-P and SS). Meanwhile, mean value of observed COD was similar to median value estimated by the gamma distribution, and TOC, T-N, T-P, and SS were similar to median value estimated by log-normal distribution, respectively.

Small sample likelihood based inference for the normal variance ratio

  • Lee, Woo Dong
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.4
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    • pp.911-918
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    • 2013
  • This study deals with the small sample likelihood based inference for the ratio of two normal variances. The small sample likelihood inference is an approximation method. The signed log-likelihood ratio statistic and the modified signed log-likelihood ratio statistic, which converge to standard normal distribution, are proposed for the normal variance ratio. Through the simulation study, the coverage probabilities of confidence interval and power of the exact, the signed log-likelihood and the modified signed log-likelihood ratio statistic will be compared. A real data example will be provided.

UWB Automobile Short Range Radar Receivers Performance In a Log-Normal Clutter Background (Log-Normal Clutter 환경에서 차량용 UWB 단거리 레이더 수신기의 성능분석)

  • Kumaravelu, Nandeeshkumar;Ko, Seok-Jun
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.48 no.9
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    • pp.59-64
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    • 2011
  • Ultra wideband radars attract considerable attention as a short range automotive radar because of its high range resolution. Radar signal reflected from a target often contains unwanted echoes called as clutter, so the detection of target is difficult due to clutter echoes. Therefore, it is important to investigate the radar detector for better detecting from the reflected signals. In this paper, the optimal detector is obtained for various mean and variance value in log-normal clutter environment. The types of non-coherent detectors used are square law detector, linear detector, and logarithmic detector. The performances of detectors are compared in log normal clutter environment and the suitable detector is determined for automotive short range radar application.

Study on Statistical Distributions for the Mechanical Properties of Thinning Crop-Trees from Pinus koraiensis (잣나무 간벌재(間伐材)의 기계적(機械的) 성질(性質)에 대(對)한 이론적(理論的) 통계(統計) 분포(分布) 연구(硏究))

  • Cha, Jae-Kyung
    • Journal of the Korean Wood Science and Technology
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    • v.21 no.4
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    • pp.55-59
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    • 1993
  • 한국의 중서부 지역에서 주로 벌채한 잣나무 간벌 제재목을 경기도 광주 소재 제재소에서 무작위로 추출하여 구입하였다. 본 연구는 휨강도 시험을 표준 시험 방법에 의하여 실시하였다. 각 무결점 시편으로부터 측정한 영 계수와 휨 강도에 대하여 이론적 통계 분포인 정상 분포, Log-normal 분포, Weibull 분포를 계산하여 비교하였다. Weibull 분포가 휨영계수 및 휨강도 모두에 적합하였으며, Log-normal 분포는 영계수 분포에 대한 이용에 적합하였다. 휨강도 분포에서는 Normal 분포가 Log-normal 분포보다 적합하다.

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Noninformative priors for the common mean in log-normal distributions

  • Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.6
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    • pp.1241-1250
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    • 2011
  • In this paper, we develop noninformative priors for the log-normal distributions when the parameter of interest is the common mean. We developed Jeffreys' prior, th reference priors and the first order matching priors. It turns out that the reference prior and Jeffreys' prior do not satisfy a first order matching criterion, and Jeffreys' pri the reference prior and the first order matching prior are different. Some simulation study is performed and a real example is given.

A Study of Probability Functions of Best Fit to Distribution of Annual Runoff -on the Nakdong River Basin- (년유출량의 적정확률 분포형에 관한 연구 -낙동강 유역을 중심으로-)

  • 조규상;이순탁
    • Water for future
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    • v.7 no.2
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    • pp.107-111
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    • 1974
  • Annual runoff in the Nakdong river basin has been analyzed to find the probability functions of best fit to distribution of historical annual runoff. The results obtained are as follows; (1) Log-normal 3-parameter disrtibution is believed as the probability function of best fit to historical distribution (2) Log-normal 3-parameter disrtibution is believed as the best fit probability function among Log-normal dist-ributions. (3) In the test of goodness of fit, $x^2-test$ shows that probability of $x^2-valus$ in Log-normal 3-parameter distribution is nearly more than 90%. But in the Simirnov-Kolmogorov test, hypotheses for the probability distributions cannot be rejected at significance level 5% & 1%. (4) Among 7 gauging stations, Dongchon & Koryung-Bridge's records show lower fitness to the theoretical probability functions than other 5 gauging station's

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The Calculation of Cell Radius for CDMA PCS System on the presumption of Log-normal Distribution with The Hata Path Loss Model (Hata Path Loss Model에서 Log-normal Distribution을 가정한 CDMA PCS 시스템의 Cell반경 산출)

  • 이명국;이호경
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.9A
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    • pp.1306-1313
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    • 1999
  • In this paper, we propose the signal strength path loss model (modified Hata path loss Model) and the signal strength distribution model (log-normal distribution) for the cell design of the land mobile communication system. We applied the measured experimental data at Soosungdon and Sanjuckdong in Daeku, to this model and calculate the fraction of total area above threshold.

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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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Characteristics of Probability Distribution of BOD Concentration in Anseong Stream Watershed (안성천 유역의 BOD농도 확률분포 특성)

  • Kim, Kyung Sub;Ahn, Taejin
    • Journal of Korean Society on Water Environment
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    • v.25 no.3
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    • pp.425-431
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    • 2009
  • It is very important to know the probability distribution of water-quality constituents for water-quality control and management of rivers and reservoirs effectively. The probability distribution of BOD in Anseong Stream was analyzed in this paper using Kolmogorov-Smirnov test which is widely used goodness-of-fit method. It was known that the distribution of BOD in Anseong Stream is closer to Log-normal, Gamma and Weibull distributions than Normal distribution. Normal distribution can be partially applied depending on significance level, but Log-normal, Gamma and Weibull distributions can be used in any significance level. Also the estimated Log-normal distribution of BOD at Jinwi3 station was to be compared with the measured in 2001, 2002 and 2003 years. It was revealed that the estimated probability distribution of BOD at Jinwi3 follows a theoretical distribution very well. The applicable probability distribution of BOD can be used to explain more rigorously and scientifically the achievement or violation of target concentration in TMDL(Total Maximum Daily Load).

Evaluation of wind loads and the potential of Turkey's south west region by using log-normal and gamma distributions

  • Ozkan, Ramazan;Sen, Faruk;Balli, Serkan
    • Wind and Structures
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    • v.31 no.4
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    • pp.299-309
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    • 2020
  • In this study, wind data such as speeds, loads and potential of Muğla which is located in the southwest of Turkey were statistically analyzed. The wind data which consists of hourly wind speed between 2010 and 2013 years, was measured at the 10-meters height in four different ground stations (Datça, Fethiye, Marmaris, Köyceğiz). These stations are operated by The Turkish State Meteorological Service (T.S.M.S). Furthermore, wind data was analyzed by using Log-Normal and Gamma distributions, since these distributions fit better than Weibull, Normal, Exponential and Logistic distributions. Root Mean Squared Error (RMSE) and the coefficients of the goodness of fit (R2) were also determined by using statistical analysis. According to the results, extreme wind speed in the research area was 33 m/s at the Datça station. The effective wind load at this speed is 0.68 kN/㎡. The highest mean power densities for Datça, Fethiye, Marmaris and Köyceğiz were found to be 46.2, 1.6, 6.5 and 2.2 W/㎡, respectively. Also, although Log-normal distribution exhibited a good performance i.e., lower AD (Anderson - Darling statistic (AD) values) values, Gamma distribution was found more suitable in the estimation of wind speed and power of the region.