• 제목/요약/키워드: Anderson Darling estimation

검색결과 13건 처리시간 0.016초

Evaluation of wind loads and the potential of Turkey's south west region by using log-normal and gamma distributions

  • Ozkan, Ramazan;Sen, Faruk;Balli, Serkan
    • Wind and Structures
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    • 제31권4호
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    • pp.299-309
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    • 2020
  • In this study, wind data such as speeds, loads and potential of Muğla which is located in the southwest of Turkey were statistically analyzed. The wind data which consists of hourly wind speed between 2010 and 2013 years, was measured at the 10-meters height in four different ground stations (Datça, Fethiye, Marmaris, Köyceğiz). These stations are operated by The Turkish State Meteorological Service (T.S.M.S). Furthermore, wind data was analyzed by using Log-Normal and Gamma distributions, since these distributions fit better than Weibull, Normal, Exponential and Logistic distributions. Root Mean Squared Error (RMSE) and the coefficients of the goodness of fit (R2) were also determined by using statistical analysis. According to the results, extreme wind speed in the research area was 33 m/s at the Datça station. The effective wind load at this speed is 0.68 kN/㎡. The highest mean power densities for Datça, Fethiye, Marmaris and Köyceğiz were found to be 46.2, 1.6, 6.5 and 2.2 W/㎡, respectively. Also, although Log-normal distribution exhibited a good performance i.e., lower AD (Anderson - Darling statistic (AD) values) values, Gamma distribution was found more suitable in the estimation of wind speed and power of the region.

와이블 분포함수를 이용한 하수관로 노후도 추정 (Estimation of sewer deterioration by Weibull distribution function)

  • 강병준;유순유;박규홍
    • 상하수도학회지
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    • 제34권4호
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    • pp.251-258
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    • 2020
  • Sewer deterioration models are needed to forecast the remaining life expectancy of sewer networks by assessing their conditions. In this study, the serious defect (or condition state 3) occurrence probability, at which sewer rehabilitation program should be implemented, was evaluated using four probability distribution functions such as normal, lognormal, exponential, and Weibull distribution. A sample of 252 km of CCTV-inspected sewer pipe data in city Z was collected in the first place. Then the effective data (284 sewer sections of 8.15 km) with reliable information were extracted and classified into 3 groups considering the sub-catchment area, sewer material, and sewer pipe size. Anderson-Darling test was conducted to select the most fitted probability distribution of sewer defect occurrence as Weibull distribution. The shape parameters (β) and scale parameters (η) of Weibull distribution were estimated from the data set of 3 classified groups, including standard errors, 95% confidence intervals, and log-likelihood values. The plot of probability density function and cumulative distribution function were obtained using the estimated parameter values, which could be used to indicate the quantitative level of risk on occurrence of CS3. It was estimated that sewer data group 1, group 2, and group 3 has CS3 occurrence probability exceeding 50% at 13th-year, 11th-year, and 16th-year after the installation, respectively. For every data groups, the time exceeding the CS3 occurrence probability of 90% was also predicted to be 27th- to 30th-year after the installation.

확률분포 특성을 이용한 탱커부두에서의 선박접안속도 예측값 추정 (Estimation of Berthing Velocity Using Probability Distribution Characteristics in Tanker Terminal)

  • 이상원;조장원;조익순
    • 한국항해항만학회지
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    • 제43권3호
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    • pp.186-196
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    • 2019
  • 선박의 접안과정 중 발생하는 접안에너지는 접안속도와 밀접한 관계가 있다. 접안속도가 과다할 경우 선박 및 부두에 손상이 발생하는 접안사고로 이어질 수 있으므로 적절한 접안속도를 설계하는 것이 중요하다. 선박접안속도의 경우, 일반적으로 대수정규분포를 따른다고 가정하고 있으나 국내에서는 이에 대한 검증이나 연구가 없어 해외의 사례를 바탕으로 설계접안속도를 설정하고 있는 상황이다. 이에 본 연구에서는 부두의 선박접안속도 분석을 통계학적으로 접근하여 실측데이터와 확률분포를 비교하여 가장 적합한 확률분포를 찾고자 하였다. 적합도 검정으로는 K-S(Kolmogorov-Smirnov) 검정, A-D(Anderson-Darling) 검정, Q-Q(Quantile-Quantile) 플롯 등을 이용하여 접안속도 실측치 분포에 적합한 확률분포를 확인하였다. 분석 결과, 접안속도의 빈도분포는 선박의 재화상태에 따라 만재 시, 대수정규분포, 경하 시에는 와이블분포와 적합함을 확인하였다. 또한 적합도 검정 결과를 이용하여 초과확률에 해당하는 접안속도 예측치를 산출하였다. 이 예측값과 해당 부두의 설계접안속도와 비교 해본 결과, 예측값이 설계값을 크게 초과함을 확인하였다. 이를 통해 설계 시의 접안속도가 현실과 맞지 않게 다소 낮게 설정되어 있음을 알 수 있으며, 이 결과를 바탕으로 적정 설계접안속도 산정법 개선에 기여할 수 있을 것으로 기대된다.