• Title/Summary/Keyword: 시계열 회귀모형

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Nonparametric Detection of a Discontinuity Point in the Variance Function with the Second Moment Function

  • Huh, Jib
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.3
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    • pp.591-601
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    • 2005
  • In this paper we consider detection of a discontinuity point in the variance function. When the mean function is discontinuous at a point, the variance function is usually discontinuous at the point. In this case, we had better estimate the location of the discontinuity point with the mean function rather than the variance function. On the other hand, the variance function only has a discontinuity point. The target function in order to estimate the location can be used the second moment function since the variance function and the second moment function have the same location and jump size of the discontinuity point. We propose a nonparametric detection method of the discontinuity point with the second moment function. We give the asymptotic results of these estimators. Computer simulation demonstrates the improved performance of the method over the existing ones.

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Development of Urban Flood Warning System Using Regression Analysis (회귀분석에 의한 도시홍수 예보시스템의 개발)

  • Lee, BeumHee
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.4B
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    • pp.347-359
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    • 2010
  • A simple web-based flood forecasting system using data from stage and rainfall monitoring stations was developed to solve the difficulty that real-time forecasting model could not get the reliabilities because of assumption of future rainfall duration and intensity. The regression model in this research could forecast future water level of maximum 2 hours after using data from stage and rainfall monitoring stations in Daejeon area. Real time stage and rainfall data were transformed from web-sites of Geum River Flood Control Office & Han River Flood Control Office based MS-Excel 2007. It showed stable forecasts by its maximum standard deviation of 5 cm, means of 1~4 cm and most of improved coefficient of determinations were over 0.95. It showed also more researches about the stationarity of watershed and time-series approach are necessary.

Procedure for monitoring special causes and readjustment in ARMA(1,1) noise model (자기회귀이동평균(1,1) 잡음모형에서 이상원인 탐지 및 재수정 절차)

  • Lee, Jae-Heon;Kim, Mi-Jung
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.5
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    • pp.841-852
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    • 2010
  • An integrated process control (IPC) procedure is a scheme which simultaneously applies the engineering control procedure (EPC) and statistical control procedure (SPC) techniques to reduce the variation of a process. In the IPC procedure, the observed deviations are monitored during the process where adjustments are repeatedly done by its controller. Because the effects of the noise, the special cause, and the adjustment are mixed, the use and properties of the SPC procedure for the out-of-control process are complicated. This paper considers efficiency of EWMA charts for detecting special causes in an ARMA(1,1) noise model with a minimum mean squared error adjustment policy. And we propose the readjustment procedure after having a true signal. This procedure can be considered when the elimination of the special cause is not practically possible.

Regression models based on cumulative data for forecasting of new product (신제품 수요예측을 위하여 누적자료를 활용한 회귀모형에 관한 연구)

  • Park, Sang-Gue;Oh, Jung-Hyun
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.1
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    • pp.117-124
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    • 2009
  • If time series data with seasonal effect exist, various statistical models like winters for successful forecasts could be used. But if the data are not enough to estimate seasonal effect, not much methods are available. This paper proposes the statistical forecasting method based on cumulative data when the data are not enough to estimate seasonal effect. We apply this method to real cosmetic sales data and show its better performance over moving average method.

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Nonlinear Autoregressive Modeling of Southern Oscillation Index (비선형 자기회귀모형을 이용한 남방진동지수 시계열 분석)

  • Kwon, Hyun-Han;Moon, Young-Il
    • Journal of Korea Water Resources Association
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    • v.39 no.12 s.173
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    • pp.997-1012
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    • 2006
  • We have presented a nonparametric stochastic approach for the SOI(Southern Oscillation Index) series that used nonlinear methodology called Nonlinear AutoRegressive(NAR) based on conditional kernel density function and CAFPE(Corrected Asymptotic Final Prediction Error) lag selection. The fitted linear AR model represents heteroscedasticity, and besides, a BDS(Brock - Dechert - Sheinkman) statistics is rejected. Hence, we applied NAR model to the SOI series. We can identify the lags 1, 2 and 4 are appropriate one, and estimated conditional mean function. There is no autocorrelation of residuals in the Portmanteau Test. However, the null hypothesis of normality and no heteroscedasticity is rejected in the Jarque-Bera Test and ARCH-LM Test, respectively. Moreover, the lag selection for conditional standard deviation function with CAFPE provides lags 3, 8 and 9. As the results of conditional standard deviation analysis, all I.I.D assumptions of the residuals are accepted. Particularly, the BDS statistics is accepted at the 95% and 99% significance level. Finally, we split the SOI set into a sample for estimating themodel and a sample for out-of-sample prediction, that is, we conduct the one-step ahead forecasts for the last 97 values (15%). The NAR model shows a MSEP of 0.5464 that is 7% lower than those of the linear model. Hence, the relevance of the NAR model may be proved in these results, and the nonparametric NAR model is encouraging rather than a linear one to reflect the nonlinearity of SOI series.

외환위기(外換危機) 이후(以後) 환율안정화(換率安定化)에 대한 통화정책(通貨政策)의 효과(效果) -우리나라의 일별자료(日別資料)를 중심으로-

  • Jo, Dong-Cheol;West, Kenneth D.;Hong, Seong-Cheol
    • KDI Journal of Economic Policy
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    • v.21 no.3_4
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    • pp.63-104
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    • 1999
  • 본 연구는 외환위기 발생 이후 취해진 고금리정책이 이후의 환율안정에 기여하였는가를 살펴보고 있다. 완전 변동환율제도로 이행된 1997년 12월 이후의 일별자료를 대상으로 표준적인 시계열모형을 사용하여 분석한 주요 결과는 금리상승이 환율의 평가절상을 유도하였다는 것이다. 축약형모형(reduced form regression)에서 나타난 환율의 금리에 대한 탄력성은, 부도율과 같은 위험(risk)변수를 통제한 단순회귀방정식뿐 아니라 VAR모형에서도 1을 소폭 상회하는 정도의 추정치를 얻을 수 있었다. 이러한 결과는 비록 외환위기 이후 환율안정화의 가장 큰 원동력이 외환유동성의 회복이었음에도 불구하고, 외환유동성이 회복될 때까지 단기적으로는 고금리정책이 환율안정화를 위하여 부분적으로 기여하였음을 시사한다고 할 수 있을 것이다.

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Testing the Existence of a Discontinuity Point in the Variance Function

  • Huh, Jib
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.3
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    • pp.707-716
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    • 2006
  • When the regression function is discontinuous at a point, the variance function is usually discontinuous at the point. In this case, we had better propose a test for the existence of a discontinuity point with the regression function rather than the variance function. In this paper we consider that the variance function only has a discontinuity point. We propose a nonparametric test for the existence of a discontinuity point with the second moment function since the variance function and the second moment function have the same location and jump size of the discontinuity point. The proposed method is based on the asymptotic distribution of the estimated jump size.

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Investigation on Granger Causality between Economic Growth and Demand for Electricity in Korea: Using Quarterly Data (한국의 경제성장과 전력수요간의 인과성에 관한 연구: 분기별 자료를 이용하여)

  • Baek, Moon-Young;Kim, Woo-Hwan
    • The Korean Journal of Applied Statistics
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    • v.25 no.1
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    • pp.89-99
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    • 2012
  • This study investigates the Granger-causality between economic growth and demand for electricity in Korea, using two quarterly time-series data (real GDP and electricity consumption) for 1970:Q1 through 2009:Q4. We apply Hsiao's sequential procedure to identify a vector autoregressive model to a decision of the optimal lags in the vector error-correction model because the two time-series data contain unit roots respectively and they are cointegrated. According to the empirical results in this study, we find that Hsiao's approach to the Granger-causality indicates a bidirectional causal relation between economic growth and demand for electricity in Korea. Following the Granger and Engle's approach, we also find the statistical evidence on (1) short-run bidirectional causality between real GDP and electricity consumption, (2) bidirectional strong causality between them, and (3) long-run unidirectional causality running from demand for electricity to economic growth. Our results show an inconsistency with the existing studies on Korea's case; however, the results appear to provide more meaningful policy implications for the Korean economy and its strategy of sustainable growth.

Predicting claim size in the auto insurance with relative error: a panel data approach (상대오차예측을 이용한 자동차 보험의 손해액 예측: 패널자료를 이용한 연구)

  • Park, Heungsun
    • The Korean Journal of Applied Statistics
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    • v.34 no.5
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    • pp.697-710
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    • 2021
  • Relative error prediction is preferred over ordinary prediction methods when relative/percentile errors are regarded as important, especially in econometrics, software engineering and government official statistics. The relative error prediction techniques have been developed in linear/nonlinear regression, nonparametric regression using kernel regression smoother, and stationary time series models. However, random effect models have not been used in relative error prediction. The purpose of this article is to extend relative error prediction to some of generalized linear mixed model (GLMM) with panel data, which is the random effect models based on gamma, lognormal, or inverse gaussian distribution. For better understanding, the real auto insurance data is used to predict the claim size, and the best predictor and the best relative error predictor are comparatively illustrated.

Statistical methods for modelling functional neuro-connectivity (뇌기능 연결성 모델링을 위한 통계적 방법)

  • Kim, Sung-Ho;Park, Chang-Hyun
    • The Korean Journal of Applied Statistics
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    • v.29 no.6
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    • pp.1129-1145
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    • 2016
  • Functional neuro-connectivity is one of the main issues in brain science in the sense that it is closely related to neurodynamics in the brain. In the paper, we choose fMRI as a main form of response data to brain activity due to its high resolution. We review methods for analyzing functional neuro-connectivity assuming that measurements are made on physiological responses to neuron activation. This means that we deal with a state-space and measurement model, where the state-space model is assumed to represent neurodynamics. Analysis methods and their interpretation should vary subject to what was measured. We included analysis results of real fMRI data by applying a high-dimensional autoregressive model, which indicated that different neurodynamics were required for solving different types of geometric problems.