• 제목/요약/키워드: L-kurtosis

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주파수-파선변수 영역에서 음원 및 수신기 고스트 제거를 통한 전통적인 해양 탄성파 자료의 광대역 자료처리 (Broadband Processing of Conventional Marine Seismic Data Through Source and Receiver Deghosting in Frequency-Ray Parameter Domain)

  • 김수민;구남형;이호영
    • 지구물리와물리탐사
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    • 제19권4호
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    • pp.220-227
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    • 2016
  • 해양 탄성파 탐사를 통해 취득한 자료에는 지하 매질에서 반사되어 오는 신호뿐만 아니라 해수면에서 되반사되어 발생하는 고스트가 존재한다. 고스트는 특정 주파수 성분을 약화시켜 탄성파 자료의 시간 해상도를 저하시킨다. 고스트를 효과적으로 제거하기 위해서는 정확한 고스트의 지연시간과 해수면의 반사계수가 요구된다. 고스트 지연시간은 해수면의 상하 움직임, 에어건과 스트리머의 움직임 및 벌림(offset) 거리 등에 의해 변하며, 해수면의 반사계수도 주파수, 평면파의 입사각 그리고 해상 상태에 따라 변한다. 이러한 영향을 고려한 고스트 지연시간을 추정하기 위하여 이 연구에서는 고스트 제거 트레이스 및 이의 자기상관 자료의 L-1 norm, L-2 norm 그리고 첨도(kurtosis)를 비교하였다. 자기상관자료의 L-1 norm을 계산하여 고스트 지연시간을 추정하는 것이 오차가 가장 적게 발생하였다. 현장자료의 파고를 고려하고 키르히호프 근사식을 이용하여 해수면의 반사계수를 계산하여 음원 및 수신기 고스트 제거에 적용하였다. 고스트를 제거함으로써 약화된 주파수 성분을 복원하였으며 시간 해상도가 향상된 구조보정 단면을 얻었다.

Use of beta-P distribution for modeling hydrologic events

  • Murshed, Md. Sharwar;Seo, Yun Am;Park, Jeong-Soo;Lee, Youngsaeng
    • Communications for Statistical Applications and Methods
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    • 제25권1호
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    • pp.15-27
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    • 2018
  • Parametric method of flood frequency analysis involves fitting of a probability distribution to observed flood data. When record length at a given site is relatively shorter and hard to apply the asymptotic theory, an alternative distribution to the generalized extreme value (GEV) distribution is often used. In this study, we consider the beta-P distribution (BPD) as an alternative to the GEV and other well-known distributions for modeling extreme events of small or moderate samples as well as highly skewed or heavy tailed data. The L-moments ratio diagram shows that special cases of the BPD include the generalized logistic, three-parameter log-normal, and GEV distributions. To estimate the parameters in the distribution, the method of moments, L-moments, and maximum likelihood estimation methods are considered. A Monte-Carlo study is then conducted to compare these three estimation methods. Our result suggests that the L-moments estimator works better than the other estimators for this model of small or moderate samples. Two applications to the annual maximum stream flow of Colorado and the rainfall data from cloud seeding experiments in Southern Florida are reported to show the usefulness of the BPD for modeling hydrologic events. In these examples, BPD turns out to work better than $beta-{\kappa}$, Gumbel, and GEV distributions.

L-모멘트 및 LH-모멘트 기법에 의한 적정 설계홍수량의 유도( I ) - L-모멘트법을 중심으로 - (Derivation of Optimal Design Flood by L-Moments and LB-Moments ( I ) - On the method of L-Moments -)

  • 이순혁;박명근;맹승진;정연수;김동주;류경식
    • 한국농공학회지
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    • 제40권4호
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    • pp.45-57
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    • 1998
  • This study was conducted to derive optimal design floods by Generalized Extreme Value (GEV) distribution for the annual maximum series at ten watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems. Adequacy for the analysis of flood data used in this study was established by the tests of Independence, Homogeneity, detection of Outliers. L-coefficient of variation, L-skewness and L-kurtosis were calculated by L-moment ratio respectively. Parameters were estimated by the Methods of Moments and L-Moments. Design floods obtained by Methods of Moments and L-Moments using different methods for plotting positions in GEV distribution were compared by the Relative Mean Errors(RME) and Relative Absolute Errors(RAE). The results were analyzed and summarized as follows. 1. Adequacy for the analysis of flood data was acknowledged by the tests of Independence, Homogeneity and detection of Outliers. 2. GEV distribution used in this study was found to be more suitable one than Pearson type 3 distribution by the goodness of fit test using Kolmogorov-Smirnov test and L-Moment ratios diagram in the applied watersheds. 3. Parameters for GEV distribution were estimated using Methods of Moments and L-Moments. 4. Design floods were calculated by Methods of Moments and L-Moments in GEV distribution. 5. It was found that design floods derived by the method of L-Moments using Weibull plotting position formula in GEV distribution are much closer to those of the observed data in comparison with those obtained by method of moments using different formulas for plotting positions from the viewpoint of Relative Mean Errors and Relative Absolute Errors.

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한국인과 코카시안 충수돌기염 환자에서 비모수적 기대최대치(NPEM) 연산방법에 의한 겐타마이신의 모집단 약물동태학 (Population Pharmacokinetics for Gentamicin in Korean and Caucasian Appendicitis Patients Using Nonparametric Expected Maximum (NPEM) Algorithm)

  • 범진필
    • 한국임상약학회지
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    • 제21권2호
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    • pp.74-80
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    • 2011
  • Population pharmacokinetics for gentamicin were compared with 20 Korean patients (14 male and 6 female) and 25 Caucasian appendicitis patients (16 male and 9 female). Two to six blood specimens were collected from all patients at the following times : just before a regularly scheduled infusion and at 0.5 hour after the end of a 0.5 hour infusion. Nonparametric expected maximum(NPEM) algorithm for population modeling was used. The estimated parameters were the elimination rate constant(K), the slope(KS) of the relationship between K versus creatinine clearance(Ccr), the apparent volume of distribution (V), the slope(VS) of the relationship between V versus weight, gentamicin clearance(CL) and the slope(CS) of the relationship between CL versus Ccr and the V. The output includes two marginal probability density function(PDF), means, medians, modes, variance, skewness, kurtosis, and CV%. The mean K(KS) were$0.402{\pm}0.129hr^{-1}$ ($0.00486{\pm}0.00197[hr{\cdot}mL/min/1.73m^2]^{-1}$) and $0.425{\pm}0.137hr^{-1}$($0.00432{\pm}0.00168[hr{\cdot}mL/min/1.73m^2]^{-1}$) for Korean and Caucasian populations, respectively. The mean V(VS) were not different at $14.3{\pm}3.69L$($0.241{\pm}0.0511L/kg$) and $15.8{\pm}4.81L$($0.236{\pm}0.0531L/kg$) for Korean and Caucasian populations, respectively (P>0.2). The mean CL(CS) were $5.68{\pm}1.69L/hr$ ($0.0714{\pm}0.0222L/kg[hr{\cdot}mL/min/1.73m^2]$) and $6.29{\pm}1.84L/hr$ ($0.0629{\pm}0.0189L/kg[hr{\cdot}mL/min/1.73m^2]$) for Korean and Caucasian populations, respectively. There are no differences in gentamicin pharmacokinetics between Korean and Caucasian appendicitis patients.

신갈나무 숲의 林木密度, 落葉量, 植物量 및 1次 純生産量의 經年 變化 (Secular chang of density, litterfall, phytomass and primary productivity in mongolian oak(quercus mongolica)forest)

  • Kwak, Toung-Se;Kim, Joon-Ho
    • The Korean Journal of Ecology
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    • 제15권1호
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    • pp.19-33
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    • 1992
  • The density, litterfall, phytomass, and primary productivity for 7 years in quercus mongolian forest locasted at mt. nambyengsan, pyeongchang-gun, gangwon provance in central part of korean peninsula were estimated quantitatively. at the first year in 1984, a stand had 1, 450 trees/ha in tree density, which was 0.67 of skewness and 0.54 of kurtosis in frequency distribution, however, at the 7th year in 1990, the stand had 1, 133 trees/ha in the density with 22%(or 316 tree/ha)in mortality, which was 1.16 of skewness and 1.89 of kurtosis in the frequency. annual mean litterfall was 5 ton DM/ha, which was composed of 68% of leaves, 17% of branches, 3% of bud scales, 9% of arcons and cups, 0.7% of flowers and others. the phytomass of tree layer for 7 years was gradually increased from 149.7 ton DM/ha at the first year to 188.5 ton DM/ha at the 7th year.annual net productivity for the tree layer studied ranged from 8.76 ton DM/ha.yr-1 to 11.62 ton DM/ha. yr-1 with heavy fluctuation year by year. average annual productivity of the stand of trunk, branches, leaves and roots for 7 years were 4.42, 0.67, 3.85 and 1.29 ton DM/ha.yr-1, respectively. turnover rate of the stand was 6.9% at the first year and 5.6% at the 7th year. such fluctuation of the productivity was caused by the chang of density, mortality, mortality and turnover rate.

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The skew-t censored regression model: parameter estimation via an EM-type algorithm

  • Lachos, Victor H.;Bazan, Jorge L.;Castro, Luis M.;Park, Jiwon
    • Communications for Statistical Applications and Methods
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    • 제29권3호
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    • pp.333-351
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    • 2022
  • The skew-t distribution is an attractive family of asymmetrical heavy-tailed densities that includes the normal, skew-normal and Student's-t distributions as special cases. In this work, we propose an EM-type algorithm for computing the maximum likelihood estimates for skew-t linear regression models with censored response. In contrast with previous proposals, this algorithm uses analytical expressions at the E-step, as opposed to Monte Carlo simulations. These expressions rely on formulas for the mean and variance of a truncated skew-t distribution, and can be computed using the R library MomTrunc. The standard errors, the prediction of unobserved values of the response and the log-likelihood function are obtained as a by-product. The proposed methodology is illustrated through the analyses of simulated and a real data application on Letter-Name Fluency test in Peruvian students.

비모수적 기대최대치(NPEM)연산방법에 의한 미국인과 재미동포 충수돌기염 환자에게 겐타마이신의 모집단 약물동태학 (Population Pharmacokinetics for Gentamicin in American and Korean-American Appendicitis Patients Using Nonparametric Expected Maximum(NPEM) Algorithm)

  • 범진필;최준식
    • 약학회지
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    • 제39권2호
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    • pp.103-112
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    • 1995
  • Population pharmacokinetics for gentamicin were compared with 24 American patients (16 male and 8 female) and 16 Korean-American appendicitis patients(12 male and 4 female). Two to six blood specimens were collected from all patients at the following times: just before a regularly scheduled infusion and at 1/2 hour after the end of a 1/2 hour infusion. Nonparametric expected maximum(NPEM) algorithm for population modeling was used. The estimated parameters were the elimination rate constant(K), the slope of the relationship between K versus creatinine clearance(KS), the apparent volume of distribution(V), the slope of the relationship between V versus weight(VS), gentamicin clearance(CL) and the slope of the relationship between CL versus creatinine clearance and the VS(CS). The output includes a 3-dimensional plot of the joint probability density function(PDF), two marginal PDF, means, medians, modes, variance, skewness, kurtosis, and CV%. The mean K(KS) were 0.424$\pm$0.139(0.00429$\pm$0.00164) and 0.411$\pm$0.135 hr$^{-1}$ (0.00475$\pm$0.00180[hr.mL/min/1.73m$^{2}]^{-1}$) for American and Korean-American populations, respectively. The mean V(VS) were not different at 15.6$\pm$4.77(0.233$\pm$0.0526) and 15.1$\pm$3.84L(0.239$\pm$0.0492 L/kg) for American and Korean-American populations, respectively (P>0.2). The mean CL (CS) were 6.28$\pm$1.85(0.0634$\pm$0.0191) and 5.70$\pm$1.77 L/hr(0.0701$\pm$0.0215 L/kg[hr.mL/min/1.73m$^{2}$)] for American and Korean-American populations, respectively. There are no differences in gentamicin pharmacokinetics between American and Korean-American Appendicitis patients.

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Non-Gaussian features of dynamic wind loads on a long-span roof in boundary layer turbulences with different integral-scales

  • Yang, Xiongwei;Zhou, Qiang;Lei, Yongfu;Yang, Yang;Li, Mingshui
    • Wind and Structures
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    • 제34권5호
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    • pp.421-435
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    • 2022
  • To investigate the non-Gaussian properties of fluctuating wind pressures and the error margin of extreme wind loads on a long-span curved roof with matching and mismatching ratios of turbulence integral scales to depth (Lux/D), a series of synchronized pressure tests on the rigid model of the complex curved roof were conducted. The regions of Gaussian distribution and non-Gaussian distribution were identified by two criteria, which were based on the cumulative probabilities of higher-order statistical moments (skewness and kurtosis coefficients, Sk and Ku) and spatial correlation of fluctuating wind pressures, respectively. Then the characteristics of fluctuating wind-loads in the non-Gaussian region were analyzed in detail in order to understand the effects of turbulence integral-scale. Results showed that the fluctuating pressures with obvious negative-skewness appear in the area near the leading edge, which is categorized as the non-Gaussian region by both two identification criteria. Comparing with those in the wind field with matching Lux/D, the range of non-Gaussian region almost unchanged with a smaller Lux/D, while the non-Gaussian features become more evident, leading to higher values of Sk, Ku and peak factor. On contrary, the values of fluctuating pressures become lower in the wind field with a smaller Lux/D, eventually resulting in underestimation of extreme wind loads. Hence, the matching relationship of turbulence integral scale to depth should be carefully considered as estimating the extreme wind loads of long-span roof by wind tunnel tests.

우리나라 연최대강우량의 지형학적 특성 및 이에 근거한 최적확률밀도함수의 산정 (Geographical Impact on the Annual Maximum Rainfall in Korean Peninsula and Determination of the Optimal Probability Density Function)

  • 남윤수;김동균
    • 한국습지학회지
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    • 제17권3호
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    • pp.251-263
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    • 2015
  • 본 연구에서는 L-moment ratio diagram 기법과 지형정보시스템(GIS)을 동시에 활용하여 우리나라의 지속기간별 연 최대강우량의 최적확률밀도함수를 판별하는 새로운 기법을 제안하고, 결과 도출과정에 있어 발견된 연최대강우량의 통계값의 흥미로운 지형학적 특성을 살펴보았다. 이를 위하여 우리나라 기상청에서 운영하는 67개의 강우관측지점에서 관측된 강우자료의 연최대강우량을 1시간, 3시간, 6시간, 12시간, 24시간 누적시간에 대하여 산출하고, L-moment ratio diagram 기법을 활용하여 이들에 대한 최적확률밀도함수를 구한 후, 이를 관측지점에 해당하는 티센 다각형에 다른 색상으로 표현하여 그 공간적 분포를 살펴보았다. 또한, 각 후보 확률밀도함수의 적합도에 대한 지도를 작성하였다. 본 연구의 결과를 요약하면 다음과 같다: (1) 강우의 극한값의 특성을 대표할 수 있는 통계값인 L-skewness와 L-kurtosis는 뚜렷한 공간적 경향을 띠고 있다. 특히 산맥을 포함한 우리나라의 지형적 특성에 큰 영향을 받았다. 이는 발생빈도가 높고 강도가 낮은 평상시의 강우사상뿐 만 아니라, 연최대강우량 또한 지형의 영향을 크게 받는다는 것을 의미한다; (2) 우리나라의 산악지역에서는 연최대강우량의 통계적 특성에 대한 고도의 영향이 비산악지역보다 더 크며, 고도가 높은 지역일수록 발생 빈도가 낮고 강도가 강한 강우사상이 더 자주 발생하며, 강우의 누적기간이 증가할수록 이러한 경향은 작아졌다; (3) 우리나라의 연최대강우량을 가장 잘 대변할 수 있는 확률밀도함수는 Generalized Extreme Value (GEV) 분포와 Generalized Logistic (GLO) 분포이다. 단, 남해안의 중앙지역에 대해서는 Generalized Pareto (GPA) 분포가 가장 적합한 것으로 나타났다.

서울지역의 지하수 수질특성에 관한 연구 (A Study on the Charateristic of the Groundwater Quality in Seoul)

  • 김익수;이재영;최상일
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제9권2호
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    • pp.54-63
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    • 2004
  • 서울의 지하수는 토양법이나 지하수법이 제정되기 전에 이미 오염물질의 토양 무단투기, 주유소나 유류의 지하저장 탱크 등이 들어서면서 오염에 노출되었으나 최근에 지하수에 관심이 많아지고 지하수 오염방지 계획에 따라 주기적이고 지역적인 검사가 이루어져 지하수 행정에 반명되고 있다. 서울시 소재 지하수 관정 1,352개소의 수질을 분석하여 먹는물중 적합은 52.6%,부적합은 47.4%로 나타났고 생활ㆍ농ㆍ공업용수로 적합은 91.9%인 8.1%가 부적합으로 나타났고 pH는 왜도와 첨도가 0.022와 -0.524인데 반하여 일반세균, 색도, 탁도, 암모니아성 질소, 질산성 질소, 철, 망간이 각각 11.641과 174.324, 8.501과 80.260, 5.675와 32.821, 가 19.507과 380.994, 가 3.323과 17.436, 10.544와 134.093, 5.979와 39.124로 나타났고, 지하수 먹는물 비상급수에서 설치년도, 심도 및 양수량은 수질의 적부에 영향을 미치지 않는 것으로 나타났고 관정 설치 해와 심도, 양수량은 각각 0.381, -0.169로 나타나 시간이 지날수록 지하수 관정의 굴착깊이는 깊어지고 양수량은 적어지는 것으로 나타났으며 심도와 질산성질소, 불소의 상관 계수는 -0.171, 0.332로 나타났다.