• Title/Summary/Keyword: lognormal

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Regression Analysis of the Log-Normally Distributed Data and Mean Field Bias Correction of Radar Rainfall (대수정규분포를 따르는 자료의 회귀분석과 레이더 강우의 편의 보정)

  • Yoo, Chul Sang;Park, Cheol Soon;Yoon, Jung Soo;Ha, Eun Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.5B
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    • pp.431-438
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    • 2011
  • This study investigated the problem of mean-field bias correction under the assumption that the radar and rain gauge rainfall data follow the log-normal distribution. Regression curves for the average, median and mode of the radar and rain gauge rainfall were derived and evaluated for their usefulness. Additionally, these regression curves were compared with those derived under the assumption that the radar and rain gauge data follow the normal distribution. This study investigated the regression results for the Typhoon Meami occurred in 2003 as an example. As results, three regression lines with the radar rainfall as the independent variable were found to underestimate the rainfall, while those with the rain gauge rainfall as the independent variable to overestimate. Among three types of regression curves considered, the result for the average was most appropriate. However this case was found to be inferior to the regression line passing the origin under the assumption of the normal distribution with the rain gauge rainfall as its independent variable. So it was hard to conclude that the consideration of the log-normality on the correction of radar rainfall is beneficial.

Demand analysis on new Mobile Telecommunication Terminal using Conjoint analysis and Mixed logit (컨조인트 분석과 혼합 로짓 모형을 이용한 차세대 무선 이동 통신 단말기의 수요 분석)

  • 김연배;이정동;고대영
    • Proceedings of the Korea Technology Innovation Society Conference
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    • 2003.11a
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    • pp.67-85
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    • 2003
  • 본 논문에서는 최근 통신 산업에서 중요한 쟁점으로 떠오르고 있는 단말기 무선이동 통신 단말기의 발전 방향을 소비자 선호에 기반하여 살펴보았다. 소비자 선호 정보를 얻기 위하여 컨조인트(conjoint) 분석 방법이 사용되었다. 컨조인트 방법은 가상의 대안들에 대한 응답자의 진술 선호에 기반을 두기 때문에 미래의 무선 이동통신 단말기에 대해 분석하는데 적합한 방법이다. 컨조인트 방법을 위한 설문은 대한민국 서울에서 445 명의 성인남녀를 대상으로 행해졌다. 소비자의 이질적인 선호를 알기 위해 혼합 로짓(mixed legit) 모형을 사용하였다. 추정은 최근 새로운 시뮬레이션 기법으로 떠오르고 있는 베이지안(Bayesian) 방법을 이용하였다. 선호의 분포 가정으로 기존의 일관적인 정규 분포 가정과 달리 가격 계수를 위하여 로그 정규(lognormal) 분포, 하이퀄리티 인터넷 특성과 PC 프로그램 호환 가능 여부의 계수들에 대해서 잘린 정규(censored normal) 분포를 가정 하였다. 추정 결과 무선 이동 통신 단말기의 각 속성들에 대한 응답자들간 선호가 크게 차이 나는 것을 알 수 있었다. 화면 크기의 경우에는 대부분의 소비자들이 현재 일반적인 핸드폰보다는 큰 화면을 선호한다는 것과 휴대성을 상당히 고려한다는 것을 간접적으로 알 수 있었다. 또한, 소비자들이 무선 이동 통신 단말기가 휴대 인터넷과 PC 프로그램 호환이 가능한지 여부에는 대부분 무관심하다는 것을 알 수 있었다. 본 논문의 결과는 차세대 무선 이동 통신 단말기의 속성 조합 시 고려해야 할 점과 휴대 인터넷 서비스의 방향에 대해 시사점을 줄 수 있을 것이다.각 73.44±0.87%, 72.88±0.25%의 함량이였다. 운동사육시간이 길어질수록 운동사육구에서는 수분함량이 운동5일째에는 73.56±0.22%였으며, 운동 20일에는 75.88±0.94%로 초기수분함량보다는 3%정도 증가하였다. 반면, 비운동사육구에서는 큰 변화를 나타내고 있지 않았다(p<0.05). 운동과 비운동시킨 참돔의 지질 함량의 변화는 운동시킨 참돔은 운동으로 인한 에너지 소비로 인하여 함량이 유의적으로 감소했으며(r=-0.35), 비운동사육구에서는 절식으로 인하여 지질함량이 감소하였다(r=-0.38). 파괴강도와 가장 밀접한 영향을 가지는 콜라겐은 운동과 비운동 모두 사육기간동안 큰 변화는 보이지 않았다. 초기의 파괴강도값은 1.45±0.02kg(운동사육구), 1.36±0.18kg(비운동사육구)이였으며 사육기간동안 운동사육구는 파괴강도값이 증가한 반면, 비운동수조에서는 참돔의 파괴강도는 사육기간동안 큰 유의차가 없었다. 각 성분간의 상관도를 살펴보면, 수분함량과 파괴강도는 상관성을 가졌으며, 지질함량과 파괴강도도 같은 경향은 나타내었다. 운동기간동안의 파괴강도와 콜라겐 사이에는 상관성의 거의 없었다. 이는 운동기간에 따른 파괴강도의 증가가 콜라겐의 함량의 증가보다는 지질함량의 감소와 수분함량의 증가와 같은 성분과의 상관성이 크다고 판단된다. 다음으로는, 운동횟수에 의한 영향으로써 운동시간을 1일 6시간으로 설정하여, 운동횟수를 결정하기 위하여 오전, 오후에 각 3시간씩 운동시키는 방법과 오전부터 6시간동안 운동시키는 두 방법을 이용하여 품질을 비교하였다. 각 조건에 따라 운동시킨 참돔의 수분함량을 나타낸 것으로, 2회(오전

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Comparison of Unit Load from Paddy Field by Various Estimation Methods (산정방법에 따른 논 원단위 비교)

  • Choi, Dongho;Jung, Jaewoon;Yoon, Kwangsik;Choi, Woojung;Cho, Sohyun;Beom, Jina;Yoo, Seungwha
    • Journal of Environmental Impact Assessment
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    • v.24 no.5
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    • pp.407-419
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    • 2015
  • The unit load of paddy field was estimated by several methods and compared in this study. Four year field study was conducted at the paddy fields located in Yeongsan river and Sumjin river basins. The unit load was estimated by four methods; (1) averaging field monitored load; (2) NIER (National Institute of Environmental Research) method which use EMC(Event Mean Concentration) and runoff ratio of rainfall groups with rainfall weighting factors; (3)method using EMC determined by best fit probability distribution; (4)method using arithmetic mean EMC and runoff ratio. The result of this study showed that the unit loads of water quality constituents by field monitoring was similar to those of NIER method whereas those by probability distribution(log-normal, gamma) method were less than unit loads of NIER method. The unit loads by arithmetic mean EMC and runoff ratio were larger than those by NIER method. The unit load by NIER method showed higher BOD, COD, SS, lesser T-N, and similar T-P values when compared to unit loads determined by MOE in 1995.

Variation of Soil Characteristics in Mountain-foot Slope (산록경사지(山麓傾斜地)에 분포(分布)한 토양특성(土壤特性)의 변이분석(變異分析))

  • Park, Chang-Seo;Um, Ki-Tae;Jung, Seogn-Jae;Choi, Seon-Sik;Park, Byeong-Sik
    • Korean Journal of Soil Science and Fertilizer
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    • v.18 no.3
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    • pp.254-259
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    • 1985
  • Variability of soil characteristics and purity were statistically summarized within mapping units and estimates were given for sample sizes required to reach predetermined levels of accuracy in mountain-foot slope soils. Total variances within mapped soil series (expressed as CV): 12-44% for pH, CEC, and particle size distribution was relatively unaffected and 56-196% for OM, ext.-cations, and available $P_2O_5$, affected by management. Means of some chemical properties were estimated on the assumption of lognormal distribution. These soils were correctly classified with regard to order at 52.2%, to great group 53.7%, and to series 39.7%. respectively. Approximate sample sizes required to detect the difference of 10 and 20% of the true mean with 0.95 confidence level were presented.

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Study on Variability of WTP Estimates by the Estimation Methods using Dichotomous Choice Contingent Valuation Data (양분선택형 조건부가치측정(CV) 자료의 추정방법에 따른 지불의사금액의 변동성 연구)

  • Shin, Youngchul
    • Environmental and Resource Economics Review
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    • v.25 no.1
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    • pp.1-25
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    • 2016
  • This study investigated the variability of WTP estimates(i.e. mean or median) with ad hoc assumptions of specific parametric probability distributions(i.e. normal, logistic, lognormal, and exponential distribution) to estimate WTP function using dichotomous choice CV data on mortality risk reduction. From the perspective of policy decision, the variability of these WTP estimates are intolerable in comparison with those of Turnbull nonparametric estimation method which is free from ad hoc distribution assumptions. The Turnbull nonparametric estimation can avoid a kind of misspecification bias due to ad hoc assumption of specific parametric distributions. Furthermore, the WTP estimates by Turnbull nonparametric estimation are robust because the similar estimates are elicited from a dichotomous choice or double dichotomous choice CV data, and the statistically significant WTP estimates can be obtained even though it is not possible by parametric estimation methods. If there are considerable variability among those WTP estimates by parametric estimation methods in condition with no criteria of model adequacy, the mean WTPs from Turnbull nonparametric estimation can be the robust estimates without ad hoc assumptions, which can avoid controversial issues in the perspective of policy decisions.

The Determination of Probability Distributions of Annual, Seasonal and Monthly Precipitation in Korea (우리나라의 연 강수량, 계절 강수량 및 월 강수량의 확률분포형 결정)

  • Kim, Dong-Yeob;Lee, Sang-Ho;Hong, Young-Joo;Lee, Eun-Jai;Im, Sang-Jun
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.12 no.2
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    • pp.83-94
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    • 2010
  • The objective of this study was to determine the best probability distributions of annual, seasonal and monthly precipitation in Korea. Data observed at 32 stations in Korea were analyzed using the L-moment ratio diagram and the average weighted distance (AWD) to identify the best probability distributions of each precipitation. The probability distribution was best represented by 3-parameter Weibull distribution (W3) for the annual precipitation, 3-parameter lognormal distribution (LN3) for spring and autumn seasons, and generalized extreme value distribution (GEV) for summer and winter seasons. The best probability distribution models for monthly precipitation were LN3 for January, W3 for February and July, 2-parameter Weibull distribution (W2) for March, generalized Pareto distribution (GPA) for April, September, October and November, GEV for May and June, and log-Pearson type III (LP3) for August and December. However, from the goodness-of-fit test for the best probability distributions of the best fit, GPA for April, September, October and November, and LN3 for January showed considerably high reject rates due to computational errors in estimation of the probability distribution parameters and relatively higher AWD values. Meanwhile, analyses using data from 55 stations including additional 23 stations indicated insignificant differences to those using original data. Further studies using more long-term data are needed to identify more optimal probability distributions for each precipitation.

A probabilistic fragility evaluation method of a RC box tunnel subjected to earthquake loadings (지진하중을 받는 RC 박스터널의 확률론적 취약도 평가기법)

  • Huh, Jungwon;Le, Thai Son;Kang, Choonghyun;Kwak, Kiseok;Park, Inn-Joon
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.19 no.2
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    • pp.143-159
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    • 2017
  • A probabilistic fragility assessment procedure is developed in this paper to predict risks of damage arising from seismic loading to the two-cell RC box tunnel. Especially, the paper focuses on establishing a simplified methodology to derive fragility curves which are an indispensable ingredient of seismic fragility assessment. In consideration of soil-structure interaction (SSI) effect, the ground response acceleration method for buried structure (GRAMBS) is used in the proposed approach to estimate the dynamic response behavior of the structures. In addition, the damage states of tunnels are identified by conducting the pushover analyses and Latin Hypercube sampling (LHS) technique is employed to consider the uncertainties associated with design variables. To illustrate the concepts described, a numerical analysis is conducted and fragility curves are developed for a large set of artificially generated ground motions satisfying a design spectrum. The seismic fragility curves are represented by two-parameter lognormal distribution function and its two parameters, namely the median and log-standard deviation, are estimated using the maximum likelihood estimates (MLE) method.

Median Control Chart for Nonnormally Distributed Processes (비정규분포공정에서 메디안특수관리도 통용모형설정에 관한 실증적 연구(요약))

  • 신용백
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.10 no.16
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    • pp.101-106
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    • 1987
  • Statistical control charts are useful tools to monitor and control the manufacturing processes and are widely used in most Korean industries. Many Korean companies, however, do not always obtain desired results from the traditional control charts by Shewhart such as the $\bar{X}$-chart, $\bar{X}$-chart, $\bar{X}$-chart, etc. This is partly because the quality charterstics of the process are not distributed normally but are skewed due to the intermittent production, small lot size, etc. In Shewhart $\bar{X}$-chart. which is the most widely used one in Kora, such skewed distributions make the plots to be inclined below or above the central line or outside the control limits although no assignable causes can be found. To overcome such shortcomings in nonnormally distributed processes, a distribution-free type of confidence interval can be used, which should be based on order statistics. This thesis is concerned with the design of control chart based on a sample median which is easy to use in practical situation and therefore properties for nonnormal distributions may be easily analyzed. Control limits and central lines are given for the more famous nonnormal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, Truncated-normal distributions. Robustness of the proposed median control chart is compared with that of the $\bar{X}$-chart; the former tends to be superior to the latter as the probability distribution of the process becomes more skewed. The average run length to detect the assignable cause is also compared when the process has a Normal or a Gamma distribution for which the properties of X are easy to verify, the proposed chart is slightly worse than the $\bar{X}$-chart for the normally distributed product but much better for Gamma-distributed products. Average Run Lengths of the other distributions are also computed. To use the proposed control chart, the probability distribution of the process should be known or estimated. If it is not possible, the results of comparison of the robustness force us to use the proposed median control chart based oh a normal distribution. To estimate the distribution of the process, Sturge's formula is used to graph the histogram and the method of probability plotting, $\chi$$^2$-goodness of fit test and Kolmogorov-Smirnov test, are discussed with real case examples. A comparison of the proposed median chart and the $\bar{X}$ chart was also performed with these examples and the median chart turned out to be superior to the $\bar{X}$-chart.

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An Analysis of Historical Precipitation data for Water Resources Planning (수자원 계획을 위한 과거 강수량자료의 분석)

  • 이동률;홍일표
    • Water for future
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    • v.27 no.3
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    • pp.71-82
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    • 1994
  • A statistical characteristics, relations of calendar and water year, and frequencies of precipitaion which are necessary for water resources planning were analyzed with long historical data(1905-1991 years). And the analysis of precipitation of the drought periods in 1967-1968 years was carried out. The study basins are the five major rivers in Korea. As a results of this study, annual precipitation shows an increasing trend but its variation has no statistical significance. The rellations of calendar and water year precipitation is presented, it shows that there are little difference of the total precipitation between them. The annual minimum series of total precipitation for the periods of 3, 6, 9, and 12 months by water year are constructed, and frequency precipitation for each periods using 2-parameter lognormal distribution is presented. The analysis of the precipitation in 1967-1968 years shows in a natural river basins that it would be a moderate drought, if dry seasons(Oct-May) or wet seasons(Jun-Sep) has 75 percents of historical mean precipitation of the same periods. And if it has less than 60 percents of historical mean precipitation, it would be a severe drought.

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Regional Rainfall Frequency Analysis by Multivariate Techniques (다변량 분석 기법을 활용한 강우 지역빈도해석)

  • Nam, Woo-Sung;Kim, Tae-Soon;Shin, Ju-Young;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.41 no.5
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    • pp.517-525
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    • 2008
  • Regional rainfall quantile depends on the identification of hydrologically homogeneous regions. Various variables relevant to precipitation can be used to form regions. Since the type and number of variables may lead to improve the efficiency of partitioning, it is important to select those precipitation related variables, which represent most of the information from all candidate variables. Multivariate analysis techniques can be used for this purpose. Procrustes analysis which can decrease the dimension of variables based on their correlations, are applied in this study. 42 rainfall related variables are decreased into 21 ones by Procrustes analysis. Factor analysis is applied to those selected variables and then 5 factors are extracted. Fuzzy-c means technique classifies 68 stations into 6 regions. As a result, the GEV distributions are fitted to 6 regions while the lognormal and generalized logistic distributions are fitted to 5 regions. For the comparison purpose with previous results, rainfall quantiles based on generalized logistic distribution are estimated by at-site frequency analysis, index flood method, and regional shape estimation method.