• 제목/요약/키워드: Log distribution

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

  • 정재운;최동호;윤광식
    • 환경영향평가
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    • 제23권4호
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    • pp.285-295
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    • 2014
  • 본 연구는 논으로부터 배출되는 오염물질항목별(COD, TOC, T-N, T-P, SS) 농도 분포에 적합한 확률분포모형을 분석하고 실측 평균 EMC와 확률분포 모형을 통해 추정된 중앙값 EMC(EMC50)값과 비교하였다. 이를 위해 2008년부터 2011년까지 전라남도 함평군에 위치한 논에서 모니터링을 수행하였다. 그 결과 COD는 3가지 확률분포모형(Normal, Log-Normal, Gamma), T-N은 4가지 확률분포모형(Normal, Log-Normal, Gamma, Weibull), T-P와 TOC는 3가 지 확 률 분 포 모 형 (Log-Normal, Gamma, Weibull), SS는 2가지 확률분포모형 (Log-Normal, Gamma)에서 적합한 것으로 나타났다. 특히, Log-Normal과 Gamma 확률분포모형은 모든 수질항목에 적합한 확률분포모형인 것으로 나타났다. 한편, 강우시 논 유출수의 수질항목별 평균값과 확률분포모형을 통해 추정된 EMC 중앙값과 비교한 결과 COD는 Gamma, TOC, T-N, T-P, SS는 Log-Normal 확률분포모형의 값과 비슷하게 나타났다.

Detection of Microbial Contamination in Commercial Berries

  • Cho, Kyu-Bong
    • 대한의생명과학회지
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    • 제23권4호
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    • pp.333-338
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    • 2017
  • This study was performed to assess microbial contamination of Aronia melanocarpa, blueberry, raspberry, and cranberry sold in several markets. We investigated total aerobic bacteria and detected foodborne bacteria by multiplex PCR from Aronia melanocarpa, blueberry, raspberry, and cranberry. Total aerobic bacteria of each sample showed mean 3.54 log CFU/g for Aronia melanocarpa, mean 1.90 log CFU/g for blueberry, and mean 1.40 log CFU/g for raspberry, but not detected in cranberry. Specially, Aronia melanocarpa contained high total aerobic bacteria contamination among various berries and contamination level reached 4.17 log CFU/g in sample 5. To evaluate the effect of distribution conditions, we also investigated total aerobic bacteria of various berries. Total aerobic bacteria showed mean 2.89 log CFU/g for berries in refrigerated distribution and 1.40 log CFU/g in frozen distribution, but not in dry distribution. For assessment of foodborne bacteria contamination, we conducted PCR with multiplex primers of E. coli O157, S. aureus, B. cereus, V. parahaemolyticus, L. monocytogenes, Y. enterocolitica, Salmonella spp., Shigella spp. Among these foodborne bacteria, B. cereus was amplified in Aronia melanocarpa in sample 4 and blueberry in sample 1, 2, 3, and 5. The result of quantitative analysis of B. cereus contamination showed 4.08 log CFU/g of Aronia melanocarpa in sample 4 and higher contamination rate 4.07 log CFU/g of blueberry in sample 3. These results suggest that strict food safety control in harvest and distribution of various berries is necessary to prevent foodborne disease and improve microbiological safety.

Likelihood based inference for the shape parameter of Pareto Distribution

  • Lee, Jae-Un;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • 제19권4호
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    • pp.1173-1181
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    • 2008
  • In this paper, when the parameter of interest is the shape parameter in Pareto distribution, we develop likelihood based inference for this parameter. Specially, we develop signed log-likelihood ratio statistic and the modified signed log-likelihood ratio statistic for the shape parameter. It is well-known that as sample size grows, the modified signed log-likelihood ratio statistic converges to standard normal distribution faster than the signed log-likelihood ratio statistic. But the computation of the modified signed log-likelihood statistic is hard or even impossible when the sufficient statistics and the ancillary statistics are not clear. In this case, one can consider an approximation to the modified signed log-likelihood statistic. Specially, when the parameter of interest is informationally orthogonal to the nuisance parameters, we propose the approximate modified signed log-likelihood statistic. Through simulation, we investigate the performances of the proposed statistics with the signed log-likelihood statistic.

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

  • 김경섭;안태진
    • 한국물환경학회지
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    • 제25권3호
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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).

신선 고추의 수확, 선별 및 유통 단계에서의 미생물 모니터링 및 미생물 오염 저감화 방법 모색 (Prevention of Microbial Contamination Through Monitoring of the Harvesting, Sorting, and Distribution Stages of Fresh Hot Pepper)

  • 김솔아;이정은;박현진;이상대;문효영;심원보
    • 한국식품위생안전성학회지
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    • 제35권1호
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    • pp.60-67
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    • 2020
  • 본 연구에서는 고추의 수확 및 유통 단계에서 미생물 오염 수준과 그 발생원인을 확인하였고, 이를 바탕으로 수온도는 냉장 보관 보다 상온 보관일 때 미생물 오염 수준이 더 높은 것으로 나타나 냉장 보관이 미생물 오염 예방에 더 효과적인 것으로 나타났다. 추가로 소형 플라즈마를 이용하였을 때 초기 균 수 대비 5일차에서 일반세균 3.0 log CFU/g 감소, 대장균군, 효모/곰팡이는 불검출로 나타났고 플라즈마 발생장치 없는 경우 5일차에 대장균군이 2.1 log CFU/g 수준으로 검출되어 소형 플라즈마 발생장치가 보관 및 유통과정 중의 미생물의 저감에 효과적일 것으로 판단되었다. 이상의 결과로 볼 때 수확단계에서 미생물학적 위해요소 발생원인 중 하나인 작업자의 장갑을 주기적으로 교체하고 현장에서 쉽게 수행 가능한 냉장 유통 방법과 신선 고추의 수확 후 보관 및 유통 중에 소형플라즈마 장치를 이용한다면 고추의 미생물 오염을 감소시키는데 효과적인 것을 확인할 수 있었다. 또한 고추 이외에도 다른 신선농산물의 수확, 선별 단계나 유통단계에 미생물의 오염을 예방 또는 저감화 하는데 이용이 가능할 것으로 생각된다.

Bayesian and maximum likelihood estimations from exponentiated log-logistic distribution based on progressive type-II censoring under balanced loss functions

  • Chung, Younshik;Oh, Yeongju
    • Communications for Statistical Applications and Methods
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    • 제28권5호
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    • pp.425-445
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    • 2021
  • A generalization of the log-logistic (LL) distribution called exponentiated log-logistic (ELL) distribution on lines of exponentiated Weibull distribution is considered. In this paper, based on progressive type-II censored samples, we have derived the maximum likelihood estimators and Bayes estimators for three parameters, the survival function and hazard function of the ELL distribution. Then, under the balanced squared error loss (BSEL) and the balanced linex loss (BLEL) functions, their corresponding Bayes estimators are obtained using Lindley's approximation (see Jung and Chung, 2018; Lindley, 1980), Tierney-Kadane approximation (see Tierney and Kadane, 1986) and Markov Chain Monte Carlo methods (see Hastings, 1970; Gelfand and Smith, 1990). Here, to check the convergence of MCMC chains, the Gelman and Rubin diagnostic (see Gelman and Rubin, 1992; Brooks and Gelman, 1997) was used. On the basis of their risks, the performances of their Bayes estimators are compared with maximum likelihood estimators in the simulation studies. In this paper, research supports the conclusion that ELL distribution is an efficient distribution to modeling data in the analysis of survival data. On top of that, Bayes estimators under various loss functions are useful for many estimation problems.

대수(對數)-Gumbel 확률분포함수(確率分布函數)의 매개변수(媒介變數) 추정(推定)과 신뢰한계(信賴限界) 유도(誘導) (Parameter Estimation and Confidence Limits for the Log-Gumbel Distribution)

  • 허준행
    • 대한토목학회논문집
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    • 제13권4호
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    • pp.151-161
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    • 1993
  • 본 연구에서는 기존의 대수(對數)형태인 대수(對數)-Gumbel 확률분포함수를 변환하여 새로운 형태의 대수(對數)-Gumbel 확률분포함수를 정립하였다. 이 분포함수를 이용하여 모멘트법, 최우도법, 확률가중모멘트법(Probability weighted moments)에 기초한 매개변수 추정과정을 유도하였으며, 또한 재현기간별 신뢰한계를 구하기 위하여 각각의 매개변수 추정법에 대한 점근분산식(漸近分散式)을 유도하였다. 아울러 유도된 식들을 실제 자료에 적용하였다.

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Notes on the Ratio and the Right-Tail Probability in a Log-Laplace Distribution

  • Woo, Jung-Soo
    • Journal of the Korean Data and Information Science Society
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    • 제18권4호
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    • pp.1171-1177
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    • 2007
  • We consider estimation of the right-tail probability in a log-Laplace random variable, As we derive the density of ratio of two independent log-Laplace random variables, the k-th moment of the ratio is represented by a special mathematical function. and hence variance of the ratio can be represented by a psi-function.

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강우자료의 분리효과 (Separation Effect Analysis for Rainfall Data)

  • 김양수;허준행
    • 물과 미래
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    • 제26권4호
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    • pp.73-83
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    • 1993
  • 본 연구에서는 우리나라 강우자료에 대한 분리효과를 검토하였다. 2변수 대수정규분포, 3변수 대수정규분포등, TYPE-극치분포, 2변수 Gamma 분포, 3변수 Gamma 분포, Log-Pearson Type-분포, GEV분포 등 7개 분포함수를 선정하고, Monte C미개 실험을 이용하여 과거 강우기록 자료로부터 얻은 왜곡도의 평균과 표준편차와 각 분포형들로부터 모의된 왜곡도의 평균과 표준편차와 차이를 분석하였다. 그 결과 우리나라 강우자료는 3변수 Gamma 분포를 제외한 나머지 6개 분포형에서 분리현상을 보였다.

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

  • 조규상;이순탁
    • 물과 미래
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    • 제7권2호
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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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