• Title/Summary/Keyword: moment fitting method

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Design wind speed prediction suitable for different parent sample distributions

  • Zhao, Lin;Hu, Xiaonong;Ge, Yaojun
    • Wind and Structures
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    • v.33 no.6
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    • pp.423-435
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    • 2021
  • Although existing algorithms can predict wind speed using historical observation data, for engineering feasibility, most use moment methods and probability density functions to estimate fitted parameters. However, extreme wind speed prediction accuracy for long-term return periods is not always dependent on how the optimized frequency distribution curves are obtained; long-term return periods emphasize general distribution effects rather than marginal distributions, which are closely related to potential extreme values. Moreover, there are different wind speed parent sample types; how to theoretically select the proper extreme value distribution is uncertain. The influence of different sampling time intervals has not been evaluated in the fitting process. To overcome these shortcomings, updated steps are introduced, involving parameter sensitivity analysis for different sampling time intervals. The extreme value prediction accuracy of unknown parent samples is also discussed. Probability analysis of mean wind is combined with estimation of the probability plot correlation coefficient and the maximum likelihood method; an iterative estimation algorithm is proposed. With the updated steps and comparison using a Monte Carlo simulation, a fitting policy suitable for different parent distributions is proposed; its feasibility is demonstrated in extreme wind speed evaluations at Longhua and Chuansha meteorological stations in Shanghai, China.

Data-Dependent Choice of Optimal Number of Lags in Variogram Estimation

  • Choi, Seung-Bae;Kang, Chang-Wan;Cho, Jang-Sik
    • The Korean Journal of Applied Statistics
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    • v.23 no.3
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    • pp.609-619
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    • 2010
  • Geostatistical data among spatial data is analyzed in three stages: (1) variogram estimation, (2) model fitting for the estimated variograms and (3) spatial prediction using the fitted variogram model. It is very important to estimate the variograms properly as the first stage(i.e., variogram estimation) affects the next two stages. In general, the variogram is estimated with the moment estimator. To estimate the variogram, we have to decide the 'lag increment' or the 'number of lags'. However, there is no established rule for selecting the number of lags in estimating the variogram. The present paper proposes a method of choosing the optimal number of lags based on the PRESS statistic. To show the usefulness of the proposed method, we perform a small simulation study and show an empirical example with with air pollution data from Korea.

An Alternative Point-Matching Technique for Fredholm Integral Equations of Second Kind (제2종 Rredholm 적분방정식의 새로운 수식해법)

  • 이직열;김정기
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.5
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    • pp.83-86
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    • 1985
  • An alternative technique (or the numerical solution of Fredholm integral equations of second kind is presented. The approximate solution is obtained by fitting the data in mixed form at knots in the region of the problem. To decrease the error in the numerical solution, cubic B-spline functions which are twice continuously differentiable at knots are employed as basis function. For a given example, the results of this technique are compared with those of Moment method employing pulse functions for basis function and delta functions for test function and found to br in good agreement.

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Cubic normal distribution and its significance in structural reliability

  • Zhao, Yan-Gang;Lu, Zhao-Hui
    • Structural Engineering and Mechanics
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    • v.28 no.3
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    • pp.263-280
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    • 2008
  • Information on the distribution of the basic random variable is essential for the accurate analysis of structural reliability. The usual method for determining the distributions is to fit a candidate distribution to the histogram of available statistical data of the variable and perform approximate goodness-of-fit tests. Generally, such candidate distribution would have parameters that may be evaluated from the statistical moments of the statistical data. In the present paper, a cubic normal distribution, whose parameters are determined using the first four moments of available sample data, is investigated. A parameter table based on the first four moments, which simplifies parameter estimation, is given. The simplicity, generality, flexibility and advantages of this distribution in statistical data analysis and its significance in structural reliability evaluation are discussed. Numerical examples are presented to demonstrate these advantages.

Estimation of Drought Rainfall by Regional Frequency Analysis using L and LH-Moments(I) - On the Method of L-Moments - (L 및 LH-모멘트법과 지역빈도분석에 의한 가뭄우량의 추정(I) - L-모멘트법을 중심으로 -)

  • 이순혁;윤성수;맹승진;류경식;주호길
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.45 no.5
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    • pp.97-109
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    • 2003
  • This study is mainly conducted to derive the design drought rainfall by the consecutive duration using probability weighted moments with rainfall in the regional drought frequency analysis. It is anticipated to suggest optimal design drought rainfall of hydraulic structures for the water requirement and drought frequency of occurrence for the safety of water utilization through this study. Preferentially, this study was conducted to derive the optimal regionalization of the precipitation data that can be classified by the climatologically and geographically homogeneous regions all over the regions except Cheju and Ulreung islands in Korea. Five homogeneous regions in view of topographical and climatological aspects were accomplished by K-means clustering method. Using the L-moment ratio diagram and Kolmogorov-Smirnov test, generalized extreme value distribution was confirmed as the best fitting one among applied distributions. At-site and regional parameters of the generalized extreme value distribution were estimated by the method of L-moments. Design drought rainfalls using L-moments following the consecutive duration were derived by the at-site and regional analysis using the observed and simulated data resulted from Monte Carlo techniques. Relative root-mean-square error (RRMSE), relative bias (RBIAS) and relative reduction (RR) in RRMSE for the design drought rainfall derived by at-site and regional analysis in the observed an simulated data were computed and compared. In has shown that the regional frequency analysis procedure can substantially more reduce the RRMSE. RBIAS and RR in RRMSE than those of at-site analysis in the prediction of design drought rainfall. Consequently, optimal design drought rainfalls following the regions and consecutive durations were derived by the regional frequency analysis.

Effective width of steel-concrete composite beams under negative moments in service stages

  • Zhu, Li;Ma, Qi;Yan, Wu-Tong;Han, Bing;Liu, Wei
    • Steel and Composite Structures
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    • v.38 no.4
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    • pp.415-430
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    • 2021
  • The effective flange width was usually introduced into elementary beam theory to consider the shear lag effect in steel-concrete composite beams. Previous studies have primarily focused on the effective width under positive moments and elastic loading, whereas it is still not clear for negative moment cases in the normal service stages. To account for this problem, this paper proposed simplified formulas for the effective flange width and reinforcement stress of composite beams under negative moments in service stages. First, a 10-degree-of-freedom (DOF) fiber beam element considering the shear lag effect and interfacial slip effect was proposed, and a computational procedure was developed in the OpenSees software. The accuracy and applicability of the proposed model were verified through comparisons with experimental results. Second, a method was proposed for determining the effective width of composite beams under negative moments based on reinforcement stress. Employing the proposed model, the simplified formulas were proposed via numerical fitting for cases under uniform loading and centralized loading at the mid-span. Finally, based on the proposed formulas, a simplified calculation method for the reinforcement stress in service stages was established. Comparisons were made between the proposed formulas and design code. The results showed that the design code method greatly underestimated the contribution of concrete under negative moments, leading to notable overestimations in the reinforcement stress and crack width.

HI superprofiles of galaxies from THINGS and LITTLE THINGS

  • Kim, Minsu;Oh, Se-Heon
    • The Bulletin of The Korean Astronomical Society
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    • v.46 no.2
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    • pp.68.3-69
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    • 2021
  • We present a novel profile stacking technique based on optimal profile decomposition of a 3D spectral line data cube, and its performance test using the HI data cubes of sample galaxies from HI galaxy surveys, THINGS and LITTLE THINGS. Compared to the previous approach which aligns all the spectra of a cube using their central velocities derived from either moment analysis, single Gaussian or hermite h3 polynomial fitting, the new method makes a profile decomposition of the profiles from which an optimal number of single Gaussian components is derived for each profile. The so-called superprofile which is derived by co-adding all the aligned profiles from which the other Gaussian models are subtracted is found to have weaker wings compared to the ones constructed in a typical manner. This could be due to the reduced number of asymmetric profiles in the new method. A practical test made on the HI data cubes of the THINGS and LITTLE THINGS galaxies shows that our new method can extract more mass of kinematically cold HI components in the galaxies than the previous results. Additionally, we fit a double Gaussian model to the superprofiles whose S/N is boosted, and quantify not only their profile shapes but derive the ratio of the Gaussian model parameters, such as the intensity ratio and velocity dispersion ratio of the narrower and broader Gaussian components. We discuss how the superprofile properties of the sample galaxies are correlated with their other physical properties, including star formation rate, stellar mass, metallicity, and gas mass.

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Statistical Studies on the Derivation of Design Low Flows (I) (설계갈수량의 유도를 위한 수문통계학적 연구 (I))

  • 이순혁;박영근;박종근
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.34 no.3
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    • pp.43-52
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    • 1992
  • Design low flows were derived from the decision of a best fitting probability distribution and of an optimum transformation method can be contributed to the planning of water utilization and management of various hydraulic structures during dry season in the main river systems in Korea. The results were analyzed and summarized as follows. 1.Basic statistics for the selected watersheds were calculated as one of means for the analysis of extremal distribution. 2.Parameters for the different frequency distributions were calculated by the method of moment. 3.Type m extremal distribution was confirmed as a best one among others for the frequency distribution of the low flows by x$^2$ goodness of fit test. 4.Formulas for the design low flows of the Type m extremal distribution with two and three parameters were dervied for the selected watersheds. 5.Design low flows for the Type m extremal distribution when a minimum drought is zero or larger than zero were derived for the selected watersheds, respectively. 6.Design low flows of the Type m extremal distribution with two parameters are appeared to be reasonable when a minimum drought approaches to zero and the observed low flows varied within a relating small range while those with three parameters are seemed to be consistent with the probability distribution of low flows when a minimum drought is larger than zero and the observed low flows showed a wide range.

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A Study on Modern Changes in European Clothing - with an emphasis on the effect of industrial revolution - (서구복식(西歐服飾)의 근대적(近代的) 변천(變遷)에 대한 연구(硏究) - 산업혁명(産業革命)의 영향(影響)을 중심(中心)으로 -)

  • Choo, Hi-Kyung;Im, Weon-Ja
    • Journal of the Korean Society of Costume
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    • v.6
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    • pp.7-26
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    • 1982
  • Investigation for industrial revolution has been recognized as an important issue of historical science, since industrial revolution itself was a historical moment in modern economic society and in the forming of modern capitalistic culture. If clothing culture had been developed in close relation to social culture. industrial revolution which gave a base for modern capitalistic culture, would be a birth of modern clothing as well as a moment for modernization of western clothing. As it takes for granted that industrial revolution, historical phenomenon is a developmental base of modern clothing culture. This study tried to enlighten the origin of modern clothing culture phenomenon with investigation of industrial revolution as a historical moment in modern clothing culture through documental study. Historian's point of view and method of studying are important when we investigate the clothing phenomenon. Although culture phenomenon of industrial revolution has been evaluated usually through socialogical aspect, studying for clothing culture phenomenon must be carried out on aethetical as well as well as sociological aspect, on account of dualism of clothing, as it is social and artistic nature. In 19th century, there were technical improvement, changing patterns of production, changing social relation and beginning of mass culture. At the same time clothing culture phenomenon was changed in relation to modern capitalistic society. The findings of the study could be summarized as follows. 1. Technical improvement in textile industry and fitting process brought about mechanization of clothing industry. 2. Appearance of popular clothing culture made it easy to spread to various classes of society. 3. Development of transportation system and communication channel made it internationalization of western clothing. 4. Recognition of importance in functional style of clothing. 5. The pursuit of modern aesthetics made rapid changing mode of clothing. Above distinctive features of modern clothing culture were derived from by-product of machinary culture, mass culture, internationalism, rapidly changing mode of various culture during industrial revolution. Industrial revolution was a change of the material world as well as in industry owing to machine advent, then the culture part that displayed directly these changes was the plastic arts of living that mould the material. The problem of clothing construction caused by industrial revolution was solved by pursuing the functional aesthetics. Clothing phenomenon as a process of value transfer participates mass culture in closs relation to general change of various culture caused by industrial revolution. Therefore western clothing gained the qualities of modern culture, condensed as function, and popularity in the process of modernization.

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A first-principles theoretical investigation of the structural, electronic and magnetic properties of cubic thorium carbonitrides ThCxN(1-x)

  • Siddique, Muhammad;Rahman, Amin Ur;Iqbal, Azmat;Azam, Sikander
    • Nuclear Engineering and Technology
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    • v.51 no.5
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    • pp.1373-1380
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    • 2019
  • Besides promising implications as fertile nuclear materials, thorium carbonitrides are of great interest owing to their peculiar physical and chemical properties, such as high density, high melting point, good thermal conductivity. This paper reports first-principles simulation results on the structural, electronic and magnetic properties of cubic thorium carbonitrides $ThC_xN_{(1-x)}$ (X = 0.03125, 0.0625, 0.09375, 0.125, 0.15625) employing formalism of density-functional-theory. For the simulation of physical properties, we incorporated full-potential linearized augmented plane-wave (FPLAPW) method while the exchange-correlation potential terms in Kohn-Sham Equation (KSE) are treated within Generalized-Gradient-Approximation (GGA) in conjunction with Perdew-Bruke-Ernzerhof (PBE) correction. The structural parameters were calculated by fitting total energy into the Murnaghan's equation of state. The lattice constants, bulk moduli, total energy, electronic band structure and spin magnetic moments of the compounds show dependence on the C/N concentration ratio. The electronic and magnetic properties have revealed non-magnetic but metallic character of the compounds. The main contribution to density of states at the Fermi level stems from the comparable spectral intensity of Th (6d+5f) and (C+N) 2p states. In comparison with spin magnetic moments of ThSb and ThBi calculated earlier with LDA+U approach, we observed an enhancement in the spin magnetic moments after carbon-doping into ThN monopnictide.