• 제목/요약/키워드: normal distribution fit

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GPR탐사를 통한 NATM터널(무근)라이닝의 두께 분포 및 배면상태 평가 (Assessment of NATM tunnel lining thickness and its behind state utilizing GPR survey)

  • 추진호;유창균;오영철;이인모
    • 한국터널지하공간학회 논문집
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    • 제21권5호
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    • pp.717-733
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    • 2019
  • 본 연구에서는 3개의 공용중인 NATM터널에서 수행된 정밀안전진단 GPR탐사 결과로 라이닝 두께분포 및 배면상태 특성을 분석하였다. 라이닝 천장에서 실시한 GPR 자료분석으로 라이닝 콘크리트와 1차지보재 사이에 공간이 대부분 존재하는 것으로 분석되었다. 다수의 라이닝 종단탐사로 분석된 횡단 두께의 좌 우 불균형은 8.6~253.5 mm로 확인되었으며 급격한 두께편차 주변에서 종방향균열 발생을 확인하였다. 라이닝 천단 중앙에서 실시된 종단 두께 분포는 3개의 적합도 검증을 통해 터널별 최적의 분포함수가 선정되었다. 종방향 라이닝 두께의 평균이 설계기준 이상인 경우 정규분포 및 이와 유사한 분포 특성을 나타내고 있으며, 설계두께 이하의 터널에서는 Gamma, Inverse Gauss분포함수가 해당터널의 라이닝을 대표하기 위한 최적함수로 적합할 것으로 판단하였다. NATM터널(무근) 라이닝의 두께분포는 터널의 상태평가 및 안전성평가를 전반적으로 분석하기 위한 중요한 지표가 될 수 있으며, 향후 기존의 일정한 설계 두께를 적용하기 보다는 GPR탐사를 반영한 라이닝의 현실적인 평가 방법의 연구가 필요할 것으로 판단된다.

농촌 그린빌리지 계획을 위한 일별 풍력발전량의 적정확률분포형 추정 (Estimation of the optimal probability distribution for daily electricity generation by wind power in rural green-village planning)

  • 김대식;구승모;남상운
    • 한국농공학회논문집
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    • 제50권6호
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    • pp.27-35
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    • 2008
  • This study aims to estimate the optimal probability distribution of daily electricity generation by wind power, in order to contribute in rural green-village planning. Wind power generation is now being recognized as one of the most popular sources for renewable resources over the country. Although it is also being adapted to rural area for may reasons, it is important to estimate the magnitudes of power outputs with reliable statistical methodologies while applying historical daily wind data, for correct feasibility analysis. In this study, one of the well-known statistical methodology is employed to define the appropriate statistical distributions for monthly power outputs for specific rural areas. The results imply that the assumption of normal distributions for many cases may lead to incorrect decision-making and therefore lead to the unreliable feasibility analysis. Subjective methodology for testing goodness of fit for normal distributions on all the cases in this study, provides possibilities to consider the other various types of statistical distributions for more precise feasibility analysis.

A Jarque-Bera type test for multivariate normality based on second-power skewness and kurtosis

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
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    • 제28권5호
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    • pp.463-475
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    • 2021
  • Desgagné and de Micheaux (2018) proposed an alternative univariate normality test to the Jarque-Bera test. The proposed statistic is based on the sample second power skewness and kurtosis while the Jarque-Bera statistic uses sample Pearson's skewness and kurtosis that are the third and fourth standardized sample moments, respectively. In this paper, we generalize their statistic to a multivariate version based on orthogonalization or an empirical standardization of data. The proposed multivariate statistic follows chi-squared distribution approximately. A simulation study shows that the proposed statistic has good control of type I error even for a very small sample size when critical values from the approximate distribution are used. It has comparable power to the multivariate version of the Jarque-Bera test with exactly the same idea of the orthogonalization. It also shows much better power for some mixed normal alternatives.

Regional flood frequency analysis of extreme rainfall in Thailand, based on L-moments

  • Thanawan Prahadchai;Piyapatr Busababodhin;Jeong-Soo Park
    • Communications for Statistical Applications and Methods
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    • 제31권1호
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    • pp.37-53
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    • 2024
  • In this study, flood records from 79 sites across Thailand were analyzed to estimate flood indices using the regional frequency analysis based on the L-moments method. Observation sites were grouped into homogeneous regions using k-means and Ward's clustering techniques. Among various distributions evaluated, the generalized extreme value distribution emerged as the most appropriate for certain regions. Regional growth curves were subsequently established for each delineated region. Furthermore, 20- and 100-year return values were derived to illustrate the recurrence intervals of maximum rainfall across Thailand. The predicted return values tend to increase at each site, which is associated with growth curves that could describe an increasing long-term predictive pattern. The findings of this study hold significant implications for water management strategies and the design of flood mitigation structures in the country.

기성복의 최적 사이즈 시스템 개발을 위한 연구 - 학령기 여아를 중심으로 - (A Study on Developing the Optimal Sizing System for Ready-to-wear - Based on Elementary School Girls -)

  • 김난도;이상열;김선영;남윤자
    • 한국의류학회지
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    • 제29권8호
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    • pp.1102-1113
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    • 2005
  • The propose of this study is to develop the optimal sizing system of ready-to-wear f3r elementary school girls using a newly invented statistical technique. The body measurements was classified by the method that equalizes the distribution of the subjects using the probability density function, to theoretically systemize a method to determine a size range of ready-to-wear for elementary school girls between 6 to 12 years old. The statistical method were 1) The total of 11 height groups, which size interval from one another is 6 cm that is an average height gap between each age. 2) In order to determine an approximate figure (m ${\times}$ n) to establish the appropriate sizes far each height group that fit to the combinations of bust and hip girth, which based on their means and standard deviations on the probability density curve to produce the standard normal distribution. 3) m and n were aligned by 4cm -the grading increments used for patterns making- and determined the size ranges by confirming the approximate figures of m and n. 4) The representative values were determined by an area ratio calculated by dividing the area determined from the range of bust and hip girth with the representative value. Considering the characteristics of subjects' distribution, the area ratios was used. 5) Weight was calculated by seeking a growth exponent for each age and multiplying it by the number of girls that fit to each size range. As sections that show the highest weight are more likely sought by the consumers, these sections were determined as the optimal size standards. 6) This optimal sizing system consists of sizes determined by the optimal size standards and its sizes are marked with height, bust and hip girth.

소형풍력발전 블레이드용 복합재료의 피로수명 분포에 대한 확률론적 평가 (Statistical Distribution of Fatigue Life of Composite Materials for Small Wind-Turbine Blades)

  • 강기원
    • 대한기계학회논문집A
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    • 제35권10호
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    • pp.1281-1289
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    • 2011
  • 본 논문에서는 소형풍력발전시스템 블레이드 제작에 사용되는 복합재료의 피로수명 데이터에 대한 통계적 해석을 위하여 다양한 확률분포 모델의 적합성에 대한 연구를 수행하였다. 이를 위하여 삼축 유리섬유강화 복합재료를 대상으로 0$^{\circ}C$, 45$^{\circ}C$ 및 90$^{\circ}C$ 의 하중방향에 대한 인장시험을 실시하였다. 또한 상기의 하중방향에 대하여 4 수준의 피로응력준에서의 피로시험을 수행하였다. 이를 통하여 획득한 피로수명 데이터를 대상으로 1) 전체 적합성, 2) 끝단 적합성 및 3) 피로물리 일치성의 기준을 이용하여 2 모수 Weibull, 3 모수 Weibull, 정규 및 대수정규분포의 적합성을 평가하였다. 또한 피로수명의 분산에 대한 하중방향 및 피로응력의 영향 역시 검토하였다.

하수처리수의 농업용수 재이용을 위한 관개수량 산정방법에 관한 연구 (A Study on the Estimation of Irrigation Water for Sewage Treated Water Reuse for Agriculture)

  • 조현경;김상민
    • 한국농공학회논문집
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    • 제61권2호
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    • pp.97-104
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    • 2019
  • The purpose of this study was to establish the estimation method of irrigation water amount for sewage treated water reuse for agricultural purpose. To calculate the irrigation water amount, we adopted Penman-Monteith for potential evapotranspiration estimation and applied crop coefficient and irrigation efficiency factor. We developed the irrigation water amount calculation program using C language in Xcode environment. The target district for calculation is having 259 ha of agricultural land located near the Jinyeong Clear Water Circulation Center in Hanrim-myeon, Gimhae city. The meteorological data of the study area were obtained from Changwon weather station from 1986 to 2017. Calculated average and maximum of annual mean potential evapotranspiration were 2.72 mm/day and 6.22 mm/day, respectively. We used K-S (Kolmogorov-Smirnov) for goodness-of-fit test to find optimal probability distribution of annual mean and maximum evapotranspiration. As a result, the normal distribution was selected for the appropriate distribution. The annual mean and maximum potential evapotranspiration for 10-year return period by applying normal distribution were 2.88 mm/day and 6.76 mm/day, respectively. Assuming that the irrigation efficiency is 80%, the irrigation water requirement was calculated as $36.05m^3/day/ha$ and $84.45m^3/day/ha$, respectively, when annual mean and maximum potential evapotranspiration were applied. The actual irrigation water amount can be calculated by applying the crop coefficient and cropping days for the study area based on the developed irrigation water amount estimation program in this study.

Orbit Determination Using SLR Data for STSAT-2C: Short-arc Analysis

  • Kim, Young-Rok;Park, Eunseo;Kucharski, Daniel;Lim, Hyung-Chul
    • Journal of Astronomy and Space Sciences
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    • 제32권3호
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    • pp.189-200
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    • 2015
  • In this study, we present the results of orbit determination (OD) using satellite laser ranging (SLR) data for the Science and Technology Satellite (STSAT)-2C by a short-arc analysis. For SLR data processing, the NASA/GSFC GEODYN II software with one year (2013/04 - 2014/04) of normal point observations is used. As there is only an extremely small quantity of SLR observations of STSAT-2C and they are sparsely distribution, the selection of the arc length and the estimation intervals for the atmospheric drag coefficients and the empirical acceleration parameters was made on an arc-to-arc basis. For orbit quality assessment, the post-fit residuals of each short-arc and orbit overlaps of arcs are investigated. The OD results show that the weighted root mean square post-fit residuals of short-arcs are less than 1 cm, and the average 1-day orbit overlaps are superior to 50/600/900 m for the radial/cross-track/along-track components. These results demonstrate that OD for STSAT-2C was successfully achieved with cm-level range precision. However its orbit quality did not reach the same level due to the availability of few and sparse measurement conditions. From a mission analysis viewpoint, obtaining the results of OD for STSAT-2C is significant for generating enhanced orbit predictions for more frequent tracking.

한반도 중서부 초본식생에 있어서의 최대현존량과 종밀도와의 관계에 대하여 (On Relationship between Maximum Standing Crop and Species Density in the Herbaceous Vegetaton of West Central Korea)

  • 오규칠
    • Journal of Plant Biology
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    • 제26권3호
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    • pp.161-171
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    • 1983
  • To test whether the Grime's model on relationship between maximum standing crop plus litter (350~750g/$m^2$) and species density (10~30/0.25$m^2$) fit well or not, a total of 52 samples, with 4 replicate plots (0.5m$\times$0.5m each) per sample, was collected from various forests, grass lands and coastal salt marshes in midwestern part of central Korean peninsula from September to October in 1982. The result agrees well with the model for grass lands salt marshes, that is, shape of curve for the maximum standing crop (minus litter) against species density indicates normal distribution. The number of species was 11 for the grassland and 7 for the salt marshes within the range of 300g to 700g per square meter for the maximum standing crop. In forest stands, however, as the maximum standing crop of herbs increased the species density decreased. The Grime's model does not seem to fit with the resutls on forest stands of this study. It is examined further the relationships among the maximum standing crop, species density and eleven soil properties, and the possible cause of this discrepancy was disscused.

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기상예보를 고려한 관개용 저수지의 최적 조작 모형(I) -일강수량.일증발량 자료발생- (Optimal Reservoir Operation Models for Paddy Rice Irrigation with Weather Forecasts (I) - Generating Daily Rainfall and Evaporation Data-)

  • 김병진;박승우
    • 한국농공학회지
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    • 제36권1호
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    • pp.63-72
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    • 1994
  • The objective of the study is to develop weather generators for daily rainfall and small pan evaporation and to test the applicability with recorded data. Daily rainfall forecasting model(DRFM) was developed that uses a first order Markov chain to describe rainfall seque- nces and applies an incomplete Gamma function to predict the amount of precipitation. Daily evaporation forecasting model(DEFM) that adopts a normal distribution function to generate the evaporation for dry and wet days was also formulated. DRFM and DEFM were tested with twenty year weather data from eleven stations using Chi-square and Kolmogorov and Smirnov goodness of fit tests. The test results showed that the generated sequences of rainfall occurrence, amount of rainfall, and pan evaporation were statistically fit to recorded data from eleven, seven, and seven stations at the 5% level of significance. Generated rainfall data from DRFM were very close in frequency distri- bution patterns to records for stations all over the country. Pan evaporation for rainy days generated were less accurate than that for dry days. And the proposed models may be used as tools to provide many mathematical models with long-term daily rainfall and small pan evaporation data. An example is an irrigation scheduling model, which will be further detailed in the paper.

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