• Title/Summary/Keyword: error bound (confidence interval)

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Relationship Analysis on the Monitoring Period and Parameter Estimation Error of the Coastal Wave Climate Data (연안 파랑 관측기간과 모수추정 오차 관계분석)

  • Cho, Hongyeon;Jeong, Weon-Mu;Jun, Ki Cheon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.25 no.1
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    • pp.34-39
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    • 2013
  • In this study, the quantitative analysis and pattern analysis of the error bounds with respect to recording period were carried out using the wave climate data from coastal areas. Arbitrary recording periods were randomly sampled from one month to six years using the bootstrap method. Based on the analysis, for recording periods less than one year, it was found that the error bounds decreased rapidly as the recording period increased. Meanwhile, the error bounds were found to decrease more slowly for recording periods longer than one year. Assuming the absolute estimate error to be around 10% (${\pm}0.1m$) for an one meter significant wave height condition, the minimum recording period for reaching the estimate error for Sokcho and Geoje-Hongdo stations satisfied this condition with over two years of data, while Anmado station was found to satisfy this condition when using observational data of over three years. The confidence intervals of the significant wave height clearly show an increasing pattern when the percentile value of the wave height increases. Whereas, the confidence intervals of the mean wave period are nearly constant, at around 0.5 seconds except for the tail regions, i.e., 2.5- and 97.5-percentile values. The error bounds for 97.5-percentile values of the wave height necessary for harbor tranquility analysis were found to be 0.75 m, 0.5 m, and 1.2 m in Sokcho, Geoje-Hongdo, and Anmado, respectively.

A Study on the Statistical Representativeness of Samples taken from Radioactive Soil (방사성 토양폐기물 시료의 통계적 대표성에 관한 연구)

  • Cho Han-Seok;Kim T.K.;Lee K.M.;Ahn S.J.;Shon J.S.
    • Proceedings of the Korean Radioactive Waste Society Conference
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    • 2005.06a
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    • pp.151-157
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    • 2005
  • For the treatment of regulatory clearance of the soils, a procedure for the radionuclides and radioactivity concentration analysis is under development. A strategy for soil sampling including random sampling after homogenization and standardization was set up. Statistical representativeness is considered for not only sampling strategy but also sample size. In this study, designed sample size was designed with confidence interval and error bound of soil using the pilot samples which were taken following the sampling strategy.

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A Statistical Methodology to Estimate the Economical Replacement Time of Water Pipes (상수관로의 경제적 교체시기를 산정하기 위한 통계적 방법론)

  • Park, Su-Wan
    • Journal of Korea Water Resources Association
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    • v.42 no.6
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    • pp.457-464
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    • 2009
  • This paper proposes methodologies for analyzing the accuracy of the proportional hazards model in predicting consecutive break times of water mains and estimating the time interval for economical water main replacement. By using the survival functions that are based on the proportional hazards models a criterion for the prediction of the consecutive pipe breaks is determined so that the prediction errors are minimized. The criterion to predict pipe break times are determined as the survival probability of 0.70 and only the models for the third through the seventh break are analyzed to be reliable for predicting break times for the case study pipes. Subsequently, the criterion and the estimated lower and upper bound survival functions of consecutive breaks are used in predicting the lower and upper bounds of the 95% confidence interval of future break times of an example water main. Two General Pipe Break Prediction Models(GPBMs) are estimated for an example pipe using the two series of recorded and predicted lower and upper bound break times. The threshold break rate is coupled with the two GPBMs and solved for time to obtain the economical replacement time interval.