• 제목/요약/키워드: Kolmogorov-Smirnov

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3변수 확률분포에 의한 설계강우량 추정 (Estimation of Design Rainfall Using 3 Parameter Probability Distributions)

  • 이순혁;맹승진;류경식
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2004년도 학술발표회
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    • pp.595-598
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    • 2004
  • This research seeks to derive the design rainfalls through the L-moment with the test of homogeneity, independence and outlier of data on annual maximum daily rainfall at 38 rainfall stations in Korea. To select the appropriate distribution of annual maximum daily rainfall data by the rainfall stations, Generalized Extreme Value (GEV), Generalized Logistic (GLO), Generalized Pareto (GPA), Generalized Normal (GNO) and Pearson Type 3 (PT3) probability distributions were applied and their aptness were judged using an L-moment ratio diagram and the Kolmogorov-Smirnov (K-S) test. Parameters of appropriate distributions were estimated from the observed and simulated annual maximum daily rainfall using Monte Carlo techniques. Design rainfalls were finally derived by GEV distribution, which was proved to be more appropriate than the other distributions.

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Statistical Analysis of End-to-End Delay for VoIP Service in Mobile WiMAX Networks

  • Islam, Mohd. Noor;Jang, Yeong-Min
    • 한국통신학회논문지
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    • 제35권2A호
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    • pp.196-201
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    • 2010
  • Measurement of Quality of Service (QoS) parameters and its statistical analysis becomes a key issue for Mobile WiMAX service providers to manage the converged network efficiently and to support end-to-end QoS. In this paper, we investigate the population distribution of end-to-end one-way delay which is the most important QoS parameter in Mobile WiMAX networks. The samples are analyzed with Chi-Square Goodness-of-Fit test, Kolmogorov-Smirnov (K-S), and Anderson-Darling (A-D) test to verify the distribution of parent population. The relation with confidence level and the minimum number of sample size is also performed for logistic distribution. The statistical analysis is a promising approach for measuring the performance Mobile WiMAX networks.

LH-모멘트의 적정 차수 결정에 의한 설계홍수량 추정 ( I ) (Estimation of Design Flood by the Determination of Best Fitting Order of LH-Moments ( I ))

  • 맹승진;이순혁
    • 한국농공학회지
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    • 제44권6호
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    • pp.49-60
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    • 2002
  • This study was conducted to estimate the design flood by the determination of best fitting order of LH-moments of the annual maximum series at six and nine watersheds in Korea and Australia, respectively. Adequacy for flood flow data was confirmed by the tests of independence, homogeneity, and outliers. Gumbel (GUM), Generalized Extreme Value (GEV), Generalized Pareto (GPA), and Generalized Logistic (GLO) distributions were applied to get the best fitting frequency distribution for flood flow data. Theoretical bases of L, L1, L2, L3 and L4-moments were derived to estimate the parameters of 4 distributions. L, L1, L2, L3 and L4-moment ratio diagrams (LH-moments ratio diagram) were developed in this study. GEV distribution for the flood flow data of the applied watersheds was confirmed as the best one among others by the LH-moments ratio diagram and Kolmogorov-Smirnov test. Best fitting order of LH-moments will be derived by the confidence analysis of estimated design flood in the second report of this study.

상수사용량(上水使用量)의 확률분포(確率分布) 특성(特性) (Probability Distribution Characteristics of water Supply Demand)

  • 목동우;현인환
    • 상하수도학회지
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    • 제8권2호
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    • pp.35-42
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    • 1994
  • This study is to analyse probability distribution characteristics of water supply demand. Two cities located near Seoul were selected as study areas. In this study, two probalility distribution types were tested using the K-S(Kolmogorov-Smirnov) method. The K-S method was used to prove the goodness of the selected distribution type. And also, the goodness of maximum day demand to average day demand ratio which was obtained by field data was tested. Conclusions are as follows. 1.Bothl normal distribution type and lognormal distribution type are appropriate as the probalility distribution type for the water supply demand. 2. The probability distribution characteristics can be used to test the goodness of the maximum day to average day demand ratio.

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지리정보시스템과 토양수분모형을 이용한 농업가뭄분석 (Agricultural Drought Analysis using Soil Water Balance Model and Geographic Information System)

  • 배승종
    • 한국농공학회지
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    • 제41권6호
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    • pp.33-43
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    • 1999
  • Drought is a serious diaster in agriculutre, especially to upland crops. Hence, the Agricultural Drought Analysis Model (ADAM) that is integratable with GIS was applied to analyae agriculture drought in upland. ADAM is composed of two sub-models , one is a Soil Water Balance Model (SWBM) and the other is a Drougth Analysis Model (DAM) that is based on the Runs theory. The ADAM needs weather data, rainfall data and soil physical characteristics data as input and calculates daily soil moisture contents. GIS was integrated to the ADAM for the calculation of regional soil moisture using digitized landuse map, detaile dsoil map, thiessen network and district boundary . For the agriculutral drought analysis, the ADAM adapt the Runs theory for analyzing drought duration, severity and magnitude . Log-Pearson Type-III probability distribution function and Kolmogorov-Smirnov test were used to test the fitness of good of the model. The integration of ADAM with GIS was successfully implemented and would be operated effectively for the regional drought analysis.

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Likelihood ratio in estimating gamma distribution parameters

  • Rahman, Mezbahur;Muraduzzaman, S. M.
    • Journal of the Korean Data and Information Science Society
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    • 제21권2호
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    • pp.345-354
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    • 2010
  • The Gamma Distribution is widely used in Engineering and Industrial applications. Estimation of parameters is revisited in the two-parameter Gamma distribution. The parameters are estimated by minimizing the likelihood ratios. A comparative study between the method of moments, the maximum likelihood method, the method of product spacings, and minimization of three different likelihood ratios is performed using simulation. For the scale parameter, the maximum likelihood estimate performs better and for the shape parameter, the product spacings estimate performs better. Among the three likelihood ratio statistics considered, the Anderson-Darling statistic has inferior performance compared to the Cramer-von-Misses statistic and the Kolmogorov-Smirnov statistic.

Comprehensive comparison of normality tests: Empirical study using many different types of data

  • Lee, Chanmi;Park, Suhwi;Jeong, Jaesik
    • Journal of the Korean Data and Information Science Society
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    • 제27권5호
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    • pp.1399-1412
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    • 2016
  • We compare many normality tests consisting of different sources of information extracted from the given data: Anderson-Darling test, Kolmogorov-Smirnov test, Cramervon Mises test, Shapiro-Wilk test, Shaprio-Francia test, Lilliefors, Jarque-Bera test, D'Agostino' D, Doornik-Hansen test, Energy test and Martinzez-Iglewicz test. For the purpose of comparison, those tests are applied to the various types of data generated from skewed distribution, unsymmetric distribution, and distribution with different length of support. We then summarize comparison results in terms of two things: type I error control and power. The selection of the best test depends on the shape of the distribution of the data, implying that there is no test which is the most powerful for all distributions.

손등의 정맥패턴 인식을 위한 원형정합방법의 비교 연구 (A Study on the Template Matching Methods for Hand Vein Pattern Recognition)

  • 최환수;박성혁;정동철
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 G
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    • pp.2231-2233
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    • 1998
  • 본 논문은 손등의 정맥패턴을 이용한 개인식별을 위해 개발된 3가지의 알고리즘에 관해 각각의 성능을 비교한 결과를 제시한다. 세가지 방법은 각각 Unsharp Masking을 이용한 이치화 후 정맥과 손등 배경의 면적을 이용한 가중치를 적용한 원형정합 알고리즘[1]과 Kolmogorov Smirnov(KS) statistic[2]을 이용한 매칭 알고리즘을 개선한 방식, 그리고 정맥의 세선화 처리 후 분기점의 좌표, 정맥의 길이, 정맥 가지 사이의 분기각도 등의 특징벡터를 이용한 방법 등이다. 본 연구에서는 전처리 과정에 있어서, 원시영상의 혈관부위와 배경부위의 gray scale 분포가 겹친 상태에서 Unsharp Masking 필터링을 적용한 결과가 기타 다른 전처리 방식보다 우수하게 영상을 강화시킬 수 있음을 확인하였고, 가중치를 이용한 매칭방식이 다른 매칭방식보다 우수함을 확인하였다.

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Length-biased Rayleigh distribution: reliability analysis, estimation of the parameter, and applications

  • Kayid, M.;Alshingiti, Arwa M.;Aldossary, H.
    • International Journal of Reliability and Applications
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    • 제14권1호
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    • pp.27-39
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    • 2013
  • In this article, a new model based on the Rayleigh distribution is introduced. This model is useful and practical in physics, reliability, and life testing. The statistical and reliability properties of this model are presented, including moments, the hazard rate, the reversed hazard rate, and mean residual life functions, among others. In addition, it is shown that the distributions of the new model are ordered regarding the strongest likelihood ratio ordering. Four estimating methods, namely, method of moment, maximum likelihood method, Bayes estimation, and uniformly minimum variance unbiased, are used to estimate the parameters of this model. Simulation is used to calculate the estimates and to study their properties. Finally, the appropriateness of this model for real data sets is shown by using the chi-square goodness of fit test and the Kolmogorov-Smirnov statistic.

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Crack growth life model for fatigue susceptible structural components in aging aircraft

  • Chou, Karen C.;Cox, Glenn C.;Lockwood, Allison M.
    • Structural Engineering and Mechanics
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    • 제17권1호
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    • pp.29-50
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    • 2004
  • A total life model was developed to assess the service life of aging aircraft. The primary focus of this paper is the development of crack growth life projection using the response surface method. Crack growth life projection is a necessary component of the total life model. The study showed that the number of load cycles N needed for a crack to propagate to a specified size can be linearly related to the geometric parameter, material, and stress level of the component considered when all the variables are transformed to logarithmic values. By the Central Limit theorem, the ln N was approximated by Gaussian distribution. This Gaussian model compared well with the histograms of the number of load cycles generated from simulated crack growth curves. The outcome of this study will aid engineers in designing their crack growth experiments to develop the stochastic crack growth models for service life assessments.