• Title/Summary/Keyword: 정상계열

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Analysis and Forecast of Non-Stationary Monthly Steam Flow (비정상 월유량 시계열의 해석과 예측)

  • 이재형;선우중호
    • Water for future
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    • v.11 no.2
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    • pp.54-61
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    • 1978
  • An attemption of synthesizing and forecasting of monthly river flow has been made by employing a linear stochastic difference equation model. As one of the linear stochestic difference equation model, an ARIMA Type is tested to find the suitability of the model to the monthly river flows. On the assumption of the stationary covariacne of differenced monthly river flows the model is identrfield and is evaluated so that the residuale have the minimum variance. Finally a test is performed to finld the residerals beings White noise. Monthly river flows at six stations in Han River Basin are applied for case studies. It was found that the difference operator is a good measure of forecasting the monthly river flow.

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Non-stationarity Analysis with Trend and Climate Variability for Annual Maximum of Hourly Rainfall in Miho watershed (미호천 유역의 시단위 연최대치 강우계열의 경향성 및 기후변동을 고려한 비정상성 빈도분석)

  • Lee, Jung-Ki;Kim, Byung-Sik;Kim, Hung-Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.345-345
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    • 2012
  • 정상성 기반의 전통적 극한치 이론은 기후변화 및 변동에 의한 외부변화 요인을 반영하기에는 한계가 있음이 지적되어왔다. 따라서 강우의 빈도분석 시 매개변수의 시간에 따른 변화를 반영한 비정상성 빈도분석 방법이 필요하다. 본 연구에서는 미호천 유역의 강우관측소 중 기상청에서 관리하는 청주 관측소 및 국토해양부에서 관리하는 가덕, 병천, 증평, 진천 관측소의 24시간 연최대치 강우자료를 대상으로 시간에 따른 경향성 분석을 하였다. 또한 자료의 경향성을 고려하여 비정상성 빈도분석을 하였고 외부상관기상변수로써 ENSO(El Nino Southern Oscillation)를 이용하여 비정상성 빈도분석을 실시하였다.

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Comparative Analysis of Body Dysmorphic Disorder and Depressive Disorder between Health and Non-Health related Majors (보건계열과 비보건계열 학생의 신체이형장애와 자가우울에 대한 비교분석)

  • Oh, Na-Rae;Jeong, Seon-A;Jeong, Mi-Ae
    • The Journal of the Korea Contents Association
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    • v.13 no.3
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    • pp.211-217
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    • 2013
  • A body dysmorphic disorder refers to a state that individuals whose external appearance is normal consider their appearance to be meta-morphosed, or think there's something wrong with it, or view a trifle deficiency as severely disfigured. The purpose of this study was to examine the body dysmorphic disorder and depression of health-related and health-unrelated majors in an effort to compare the two groups. And it's also meant to investigate the relationship between body dysmorphic disorder and depression. The subjects in this study were 400 students at K college located in Gangwon Province. Out of them, the major of the 200 students belonged to the health science track, and that of the 200 students didn't. After a self-administered survey was conducted, the answer sheets from 319 respondents were analyzed. As a result, there appeared no differences between the health-related majors and the health-unrelated majors in body dysmorphic disorder. Although there might be various factors to concern body dysmorphic disorder, both groups found themselves to suffer from more depression when they had a severer body dysmorphic disorder, and their body dysmorphic disorder exerted a statistically significant influence on their self-rated depression. Therefore the careful management of body dysmorphic disorder was required, and it's especially needed to make research in that of health-related majors. At the same time, more detailed clinical research efforts should be directed into body dysmorphic disorder and self-rated depression.

On the Stationarity of Rainfall Quantiles: 1. Application and Evaluation of Conventional Methodologies (확률강우량의 정상성 판단: 1. 기존 방법의 적용 및 평가)

  • Jung, Sung-In;Yoo, Chul-Sang;Yoon, Yong-Nam
    • Journal of the Korean Society of Hazard Mitigation
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    • v.7 no.5
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    • pp.79-88
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    • 2007
  • This study evaluated the statistical stationarity of rainfall quantiles as well as the rainfall itself. The conventional methodologies like the Cox-Stuart test for trend and Dickey-Fuller test for a unit root used for testing the stationarity of a time series were applied and evaluated their application to the rainfall quantiles. As results, first, no obvious increasing or decreasing trend was found for the rainfall in Seoul, which was also found to be a stationary time series based on the Dickey-Fuller test. However, the Cox-Stuart test for the rainfall quantiles show some trends but not in consistent ways of increasing or decreasing. Also, the Dickey-Fuller test for a unit root shows that the rainfall quantiles are non-stationary. This result is mainly due to the difference between the rainfall data and rainfall quantiles. That is, the rainfall is a random variable without any trend or non-stationarity. On the other hand, the rainfall quantiles are estimated by considering all the data to result in high correlation between their consecutive estimates. That is, as the rainfall quantiles are estimated by adding a stationary rainfall data continuously, it becomes possible for their consecutive estimates to become highly correlated. Thus, it is natural for the rainfall quantiles to be decided non-stationary if considering the methodology used in this study.

Concept of Seasonality Analysis of Hydrologic Extreme Variables and Effective Design Rainfall Estimation Using Nonstationary Frequency Analysis (극치수문자료의 계절성 분석 개념 및 비정상성 빈도해석을 이용한 유효확률강수량 해석)

  • Kwon, Hyun-Han;Lee, Jeong-Ju;Lee, Dong-Ryul
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.1434-1438
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    • 2010
  • 수문자료의 계절성은 수자원관리의 관점에서 매우 중요한 요소로서 계절성의 변동은 댐의 운영, 홍수조절, 관계용수 관리 등 다양한 분야와 밀접한 관계를 가지고 있다. 그러나 지금까지의 수문 자료의 계절성 평가는 주로 이수과점에서 이루어지고 있으며 치수관점에서 극치수문량의 계절성을 평가하는 연구는 미진한 실정이다. 이는 극치수문량을 해석하는 방법론으로서 연최대치계열(annual maxima) 즉, Block Maxima가 이용됨에 따라 나타나는 문제점이다. 그러나 부분기간치계열(partial duration series)을 활용하게 되면 자료의 확충뿐만 아니라 자연적으로 극치수문량의 계절성에 대한 평가 또한 가능하다. 이러한 분석과정을 POT(peak over threshold)분석이라 하며 일정 기준값(threshold) 이상의 자료를 모두 취하여 빈도해석에 이용하는 방법으로서 기존 방법의 경우 연최대값이 일반적으로 7월과 8월에만 존재하게 되지만 POT 분석의 경우 여러 달에 걸쳐 빈도해석을 위한 자료가 구성되게 된다. 이를 빈도해석으로 연계시키기 위해서는 계절성을 비정상성으로 고려하여 모형화 할 수 있는 방법론의 개발이 필요하다. 본 연구에서는 이러한 목적을 위해서 계절성을 고려할 수 있는 비정상성빈도해석 기법의 개념을 제시하고 모형으로 개발하고자 한다. GEV 또는 Gumbel 분포의 매개변수와 계절성을 연계시키기 위해서 Fourier 급수가 활용되며 매개변수는 Bayesian 기법을 통해 최적화 된다. 이를 통하여 설계강수량의 계절적 분포를 정량적으로 해석할 수 있으며 미래의 극치강수량에 대한 분포특성 또한 확률적으로 해석이 가능하다. 본 연구에서 제안된 방법은 국내외 시간강수량자료에 적용되어 적합성과 적용성이 평가된다.

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A Study on the Development and Application of Cryptography Teaching Program for Vocational High School Mathematics (상업 정보 계열 고등학교 암호 교육 프로그램 개발 및 적용에 관한 연구)

  • Park, Joong-Soo;Chung, Sang-Cho
    • Journal of the Korean School Mathematics Society
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    • v.12 no.3
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    • pp.231-245
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    • 2009
  • The purpose of this study is to develop a contents when we are going to introduce cryptography and information security for vocational high school students. For this we do a survey of the students' level for understanding of information security and the 7th curriculum for school mathematics, 2007 revised curriculum for school mathematics, the curriculum for vocational high school, and we search for the material that connects between mathematics subjects and vocational subjects. We develop a text book that introduces information security and cryptography. After we teach vocational high school students by using this developed book, we get the result that learning cryptography with computer programming makes a good motivation of learning mathematics and roles a parameter between mathematics curriculum and vocational curriculum. As a result we propose that the developed contents can be used in 'Practical Mathematics' in the 7th curriculum for school mathematics or 'Application of Mathematics' in 2007 revised curriculum for school mathematics.

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Analysis of Generalized Extreme Value Distribution to Estimate Storm Sewer Capacity Under Climate Change (기후변화에 따른 하수관거시설의 계획우수량 산정을 위한 일반극치분포 분석)

  • Lee, Hak-Pyo;Ryu, Jae-Na;Yu, Soon-Yu;Park, Kyoo-Hong
    • Journal of Korean Society of Water and Wastewater
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    • v.26 no.2
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    • pp.321-329
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    • 2012
  • In this study, statistical analysis under both stationary and non-stationary climate was conducted for rainfall data measured in Seoul. Generalised Extreme Value (GEV) distribution and Gumbel distribution were used for the analysis. Rainfall changes under the non-stationary climate were estimated by applying time variable (t) to location parameter (${\xi}$). Rainfall depths calculated in non-stationary climate increased by 1.1 to 6.2mm and 1.0 to 4.6mm for the GEV distribution and gumbel distribution respectively from those stationary forms. Changes in annual maximum rainfall were estimated with rate of change in the location parameter (${\xi}1{\cdot}t$), and temporal changes of return period were predicted. This was also available for re-evaluating the current sewer design return period. Design criteria of sewer system was newly suggested considering life expectance of the system as well as temporal changes in the return period.