• 제목/요약/키워드: kolmogorov-smirnov test

검색결과 208건 처리시간 0.023초

New Family of the Exponential Distributions for Modeling Skewed Semicircular Data

  • Kim, Hyoung-Moon
    • 응용통계연구
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    • 제22권1호
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    • pp.205-220
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    • 2009
  • For modeling skewed semicircular data, we derive new family of the exponential distributions. We extend it to the l-axial exponential distribution by a transformation for modeling any arc of arbitrary length. It is straightforward to generate samples from the f-axial exponential distribution. Asymptotic result reveals two things. The first is that linear exponential distribution can be used to approximate the l-axial exponential distribution. The second is that the l-axial exponential distribution has the asymptotic memoryless property though it doesn't have strict memoryless property. Some trigonometric moments are also derived in closed forms. Maximum likelihood estimation is adopted to estimate model parameters. Some hypotheses tests and confidence intervals are also developed. The Kolmogorov-Smirnov test is adopted for goodness of fit test of the l-axial exponential distribution. We finally obtain a bivariate version of two kinds of the l-axial exponential distributions.

태백지역 석탄광업 굴진부서의 부유분진 농도 (Suspended Particulate Concentration at the Drilling Site of Underground Coal Mines in Taebaek Area)

  • 윤영노;김영식;이영신
    • 한국환경보건학회지
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    • 제17권1호
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    • pp.32-38
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    • 1991
  • Airborne suspended particulate concentration in drilling sites of underground coal mines in Taebaek area was evaluated. And respirable coal dust exposure level was evaluated. Airborne suspended particulate mass include total suspended particle(TSP) and thoracic particle(TPM). TSP (by open-face filter holder) and TPM(by elutriator) concentration were determined by low volume air samplers. Personal air samplers were attached to the coal workers including drillers, coal cutters, and their assistants. Normality and log-normality of TSP, TPM, and respirable dust(RPM) concentration were tested by Kolmogorov-Smirnov one-sample test. Differences of means of TSP, TPM, and RPM concentration were tested by paired t-test. Relation between TSP, TPM, and RPM with pairs were tested by regression test and Pearson's correlation.

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쪼갬인장 반복하중을 받는 콘크리트의 파괴확률 모델 (Failure Probability Models of Concrete Subjected to Split Tension Repeated- Loads)

  • 김동호;김경진;이봉학;윤경구
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2003년도 봄 학술발표회 논문집
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    • pp.311-314
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    • 2003
  • Concrete structures such as bridge, pavement, airfield, and offshore structure are normally subjected to repeated load. This paper proposes a failure probability models of concrete subjected to split tension repeated-loads, based on experimental results. The fatigue tests were performed at the stress ratio of 0.1, the loading shape of sine, the frequency of 20Hz, and the stress levels of 90, 80 and 70%. The fatigue test specimen was 150mm in diameter and 75mm in thickness. The fatigue analysis did not include which exceeded 0.9 of statistical coefficient of determination values or did not failure at 2$\times$$10^6$ cycles. The graphical method, the moment method, and maximum likelihood estimation method were used to obtain Weibull distribution parameters. The goodness-of-fit test by Kolmogorov-Smirnov test was acceptable 5% level of significance. As a result, the proposed failure probability model based on the two-parameter($\alpha and \mu$) Weibull distribution was good enough to estimate accurately the fatigue life subjected to tension mode.

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Mathematical representation to assess the wind resource by three parameter Weibull distribution

  • Sukkiramathi, K.;Rajkumar, R.;Seshaiah, C.V.
    • Wind and Structures
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    • 제31권5호
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    • pp.419-430
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    • 2020
  • Weibull distribution is a conspicuous distribution known for its accuracy and its usage for wind energy analysis. The two and three parameter Weibull distributions are adopted in this study to fit wind speed data. The daily mean wind speed data of Ennore, Tamil Nadu, India has been used to validate the procedure. The parameters are estimated using maximum likelihood method, least square method and moment method. Four statistical tests namely Root mean square error, R2 test, Kolmogorov-Smirnov test and Anderson-Darling test are employed to inspect the fitness of Weibull probability density functions. The value of shape factor, scale factor, wind speed and wind power are determined at a height of 100m using extrapolation of numerical equations. Also, the value of capacity factor is calculated mathematically. This study provides a way to evaluate feasible locations for wind energy assessment, which can be used at any windy site throughout the world.

원예활동프로그램이 간호대학생의 정서지능과 스트레스 대처에 미치는 효과 (The Effect of Horticultural Activities Program on Emotional Intelligence and Stress Coping in Nursing College Student)

  • 양경미;박현정
    • 한국융합학회논문지
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    • 제9권2호
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    • pp.267-276
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    • 2018
  • 본 연구의 목적은 원예활동프로그램이 4학년 간호대학생의 정서지능과 스트레스 대처에 미치는 효과를 검증하고자 하였다. 연구방법은 비동등성 대조군 전후 설계의 유사실험연구(Non-equivalent control group pretest-posttest design)이다. 연구대상은 G지역의 2개 대학의 4학년 간호대학생으로 실험군 29명, 대조군 30명이었다. 프로그램은 1회당 80분, 주 2회씩, 5주간 총 10회기로 운영하였다. 사전 사후조사는 동일하게 구조화된 설문지를 사용하여 정서지능, 스트레스 대처를 측정하였다. 자료분석은 SPSS WIN 21.0 프로그램을 이용하여 빈도분석(Frequency analysis), 기술통계(Descriptive statistics), ${\chi}^2-test$, t-test, Fisher's exact test, Kolmogorov-Smirnov, independent t-test, paired t-test를 이용하였다. 연구결과는 원예활동프로그램을 적용 후 정서지능(t=-3.33, p=.002)과 스트레스 대처(t=-2.35, p=.023)는 두 집단 간에 유의한 차이가 있었다. 이 연구 결과를 통해 원예활동프로그램은 4학년 간호대학생의 정서지능과 스트레스 대처 향상에 효과가 있음을 확인하였다.

주변값이 주어진 이원분할표에 대한 카이제곱 검정통계량의 소표본 분포 및 대표본 분포와의 일치성 연구 (On the Small Sample Distribution and its Consistency with the Large Sample Distribution of the Chi-Squared Test Statistic for a Two-Way Contigency Table with Fixed Margins)

  • 박철용;최재성;김용곤
    • Journal of the Korean Data and Information Science Society
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    • 제11권1호
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    • pp.83-90
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    • 2000
  • 이원분할표의 두 범주형 변수에 대한 독립성을 검정할 때 흔히 카이제곱 검정통계량이 사용된다. 표본추출 모형이 다항이나 곱다항인 경우 이 검정통계량이 독립성 가정하에서 근사적으로 카이제곱 분포를 따르게 되는 것은 잘 알려진 사실이다. 두 주변값이 모두 주어진 경우 독립성 가정하에서 표본추출 모형은 다중 초기하분포가 되며 앞의 모형과 마찬가지로 카이제곱 통계량에 근거한 검정을 사용할 수 있다. 이 연구에서는 주변값이 주어진 경우에 카이제곱 통계량의 소표본 분포를 대표본 분포인 카이제곱 분포와 비교하고자 한다. 표본크기가 작은 몇 개의 경우에 대해 카이제곱 통계량의 소표본 분포를 직접 계산해보았다. 표본크기가 큰 몇 개의 경우는 간단한 몬테칼로 알고리듬을 통해 소표본 분포를 생성하고 카이제곱 확률도와 콜모고로브-스미노브 단일표본 검정을 이용하여 대표본 분포와의 일치성을 알아보았다.

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L-모멘트법에 의한 극치강우의 빈도분석 (Frequency Analysis of Extreme Rainfall by L-Moments)

  • 맹승진;이순혁;김병준
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2002년도 학술발표회 발표논문집
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    • pp.225-228
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    • 2002
  • 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 in 38 Korean rainfall stations. To select the fit appropriate distribution of annual maximum daily rainfall data according to rainfall stations, applied were Generalized Extreme Value (GEV), Generalized Logistic (GLO) and Generalized Pareto (GPA) probability distributions were applied. and their aptness was judged Dusing an L-moment ratio diagram and the Kolmogorov-Smirnov (K-S) test, the aptitude was judged of applied distributions such as GEV, GLO and GPA. The GEV and GLO distributions were selected as the appropriate distributions. Their parameters were estimated Targetingfrom the observed and simulated annual maximum daily rainfalls and using Monte Carlo techniques, the parameters of GEV and GLO selected as suitable distributions were estimated and. dDesign rainfallss were then derived, using the L-moment. Appropriate design rainfalls were suggested by doing a comparative analysis of design rainfall from the GEV and GLO distributions according to rainfall stations.

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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.