• 제목/요약/키워드: autoregressive error model

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Extending the Scope of Automatic Time Series Model Selection: The Package autots for R

  • Jang, Dong-Ik;Oh, Hee-Seok;Kim, Dong-Hoh
    • Communications for Statistical Applications and Methods
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    • 제18권3호
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    • pp.319-331
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    • 2011
  • In this paper, we propose automatic procedures for the model selection of various univariate time series data. Automatic model selection is important, especially in data mining with large number of time series, for example, the number (in thousands) of signals accessing a web server during a specific time period. Several methods have been proposed for automatic model selection of time series. However, most existing methods focus on linear time series models such as exponential smoothing and autoregressive integrated moving average(ARIMA) models. The key feature that distinguishes the proposed procedures from previous approaches is that the former can be used for both linear time series models and nonlinear time series models such as threshold autoregressive(TAR) models and autoregressive moving average-generalized autoregressive conditional heteroscedasticity(ARMA-GARCH) models. The proposed methods select a model from among the various models in the prediction error sense. We also provide an R package autots that implements the proposed automatic model selection procedures. In this paper, we illustrate these algorithms with the artificial and real data, and describe the implementation of the autots package for R.

시계열 해석을 이용한 팔운동 근전신호의 기능분리 (Functional Separation of Myoelectric Signal of Human Arm Movements Using Time Series Analysis)

  • 홍성우;남문현
    • 대한전기학회논문지
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    • 제41권9호
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    • pp.1051-1059
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    • 1992
  • In this paper, two general methods using time-series analysis in the functional separation of the myoelectric signal of human arm movements are developed. Autocorrelation, covariance method and sequential least squares algorithm were used to determine the model parameters and the order of signal model to describe six arm movement patterns` the forearm flexion and extension, the wrist pronation and supination, rotation-in and rotation-out. The confidence interval to classify the functions of arm movement was defined by the mean and standard deviation of total squared error. With the error signals of autoregressive(AR) model, the result showed that the highest success rate was obtained in the case of 4th order, and success rate was decreased with increase of order. Autocorrelation was the method of choice for better success rate. This technique might be applied to biomedical and rehabilitation engineering.

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충청남도 서산시 기온의 통계적 모형 연구 (Analysis of statistical models on temperature at the Seosan city in Korea)

  • 이훈자
    • Journal of the Korean Data and Information Science Society
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    • 제25권6호
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    • pp.1293-1300
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    • 2014
  • 기온의 변화는 국가 정책에 여러 가지 영향을 준다. 본 연구에서는 충청남도 서산시 2003년 ~ 2012년 기온을 주위에서 쉽게 구할 수 있는 기상자료, 온실가스자료, 대기자료를 이용하여 자기회귀오차 (autoregressive error)모형으로 월별과 계절별로 분석하였다. 기온을 위한 기상자료로는, 풍속, 강수량, 일사량, 운량, 습도를 사용했고, 온실가스자료는 이산화탄소 ($CO_2$), 메탄 ($CH_4$), 아산화질소 ($N_2O$), 염화불화탄소 ($CFC_{11}$), 대기자료는 미세먼지 ($PM_{10}$), 이산화황 ($SO_2$), 이산화질소 ($NO_2$), 오존 ($O_3$), 일산화탄소 (CO)를 사용하였다. 분석 결과, 자기회귀오차모형으로 월별 기온을 39%-63% 정도 설명할 수 있다.

EFFICIENT ESTIMATION OF THE COINTEGRATING VECTOR IN ERROR CORRECTION MODELS WITH STATIONARY COVARIATES

  • Seo, Byeong-Seon
    • Journal of the Korean Statistical Society
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    • 제34권4호
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    • pp.345-366
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    • 2005
  • This paper considers the cointegrating vector estimator in the error correction model with stationary covariates, which combines the stationary vector autoregressive model and the nonstationary error correction model. The cointegrating vector estimator is shown to follow the locally asymptotically mixed normal distribution. The variance of the estimator depends on the co­variate effect of stationary regressors, and the asymptotic efficiency improves as the magnitude of the covariate effect increases. An economic application of the money demand equation is provided.

시공간자기회귀(STAR)모형을 이용한 부동산 가격 추정에 관한 연구 (An Empirical Study on the Estimation of Housing Sales Price using Spatiotemporal Autoregressive Model)

  • 전해정;박헌수
    • 부동산연구
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    • 제24권1호
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    • pp.7-14
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    • 2014
  • 본 연구는 2006년 1월부터 2013년 6월까지의 서울시 아파트 개별 실거래가격에 대한 시공간 자료로 시공간자기상관의 문제를 헤도닉가격결정모형에 의한 통상최소자승법(OLS), 시간효과를 고려한 시간자기회귀모형(TAR), 공간효과를 고려한 공간자기회귀모형(SAR)과 시공간자기회귀모형(STAR)을 이용해 아파트 가격 추정결과를 비교분석하였다. 실증분석결과, STAR모형이 기존의 OLS에 비해 수정결정계수가 약 10% 증가하였으며, 추정오차는 약 18% 감소한 것으로 나타나 시공간효과를 고려했을 때 아파트 가격 추정이 기존모형에 비해 정확함을 알 수가 있었다. STAR모형 분석결과, 아파트 매매가격에 전용면적(-), 아파트연수(-), 저층더미(-), 개별난방(-), 도시가스(-), 재건축더미(+), 계단식(+), 단지규모(+)등이 영향을 주는 것으로 나타났으며 다른 분석방법론과도 대부분 같은 부호를 나타냈다. 시공간자기회귀모형을 이용해 부동산 가격을 추정시 정부 당국자는 부동산시장의 동향을 정확히 파악해 정책을 수립 집행해 정책효율을 높을 수 있고 투자자의 입장에서는 객관적인 정보를 바탕으로 합리적 투자를 할 수 있다.

Modeling and Forecasting Saudi Stock Market Volatility Using Wavelet Methods

  • ALSHAMMARI, Tariq S.;ISMAIL, Mohd T.;AL-WADI, Sadam;SALEH, Mohammad H.;JABER, Jamil J.
    • The Journal of Asian Finance, Economics and Business
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    • 제7권11호
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    • pp.83-93
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    • 2020
  • This empirical research aims to modeling and improving the forecasting accuracy of the volatility pattern by employing the Saudi Arabia stock market (Tadawul)by studying daily closed price index data from October 2011 to December 2019 with a number of observations being 2048. In order to achieve significant results, this study employs many mathematical functions which are non-linear spectral model Maximum overlapping Discrete Wavelet Transform (MODWT) based on the best localized function (Bl14), autoregressive integrated moving average (ARIMA) model and generalized autoregressive conditional heteroskedasticity (GARCH) models. Therefore, the major findings of this study show that all the previous events during the mentioned period of time will be explained and a new forecasting model will be suggested by combining the best MODWT function (Bl14 function) and the fitted GARCH model. Therefore, the results show that the ability of MODWT in decomposition the stock market data, highlighting the significant events which have the most highly volatile data and improving the forecasting accuracy will be showed based on some mathematical criteria such as Mean Absolute Percentage Error (MAPE), Mean Absolute Scaled Error (MASE), Root Means Squared Error (RMSE), Akaike information criterion. These results will be implemented using MATLAB software and R- software.

PERFORMANCE OF THE AUTOREGRESSIVE METHOD IN LONG-TERM PREDICTION OF SUNSPOT NUMBER

  • Chae, Jongchul;Kim, Yeon Han
    • 천문학회지
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    • 제50권2호
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    • pp.21-27
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    • 2017
  • The autoregressive method provides a univariate procedure to predict the future sunspot number (SSN) based on past record. The strength of this method lies in the possibility that from past data it yields the SSN in the future as a function of time. On the other hand, its major limitation comes from the intrinsic complexity of solar magnetic activity that may deviate from the linear stationary process assumption that is the basis of the autoregressive model. By analyzing the residual errors produced by the method, we have obtained the following conclusions: (1) the optimal duration of the past time for the forecast is found to be 8.5 years; (2) the standard error increases with prediction horizon and the errors are mostly systematic ones resulting from the incompleteness of the autoregressive model; (3) there is a tendency that the predicted value is underestimated in the activity rising phase, while it is overestimated in the declining phase; (5) the model prediction of a new Solar Cycle is fairly good when it is similar to the previous one, but is bad when the new cycle is much different from the previous one; (6) a reasonably good prediction of a new cycle can be made using the AR model 1.5 years after the start of the cycle. In addition, we predict the next cycle (Solar Cycle 25) will reach the peak in 2024 at the activity level similar to the current cycle.

순차적 예측오차 방법에 의한 구조물의 모우드 계수 추정 (IDENTIFICATION OF MODAL PARAMETERS BY SEQUENTIAL PREDICTION ERROR METHOD)

  • Lee, Chang-Guen;Yun, Chung-Bang
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1990년도 가을 학술발표회 논문집
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    • pp.79-84
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    • 1990
  • The modal parameter estimations of linear multi-degree-of-freedom structural dynamic systems are carried out in time domain. For this purpose, the equation of motion is transformed into the autoregressive and moving average model with auxiliary stochastic input (ARMAX) model. The parameters of the ARMAX model are estimated by using the sequential prediction error method. Then, the modal parameters of the system are obtained thereafter. Experimental results are given for a 3-story building model subject to ground exitations.

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Predicting the Unemployment Rate Using Social Media Analysis

  • Ryu, Pum-Mo
    • Journal of Information Processing Systems
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    • 제14권4호
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    • pp.904-915
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    • 2018
  • We demonstrate how social media content can be used to predict the unemployment rate, a real-world indicator. We present a novel method for predicting the unemployment rate using social media analysis based on natural language processing and statistical modeling. The system collects social media contents including news articles, blogs, and tweets written in Korean, and then extracts data for modeling using part-of-speech tagging and sentiment analysis techniques. The autoregressive integrated moving average with exogenous variables (ARIMAX) and autoregressive with exogenous variables (ARX) models for unemployment rate prediction are fit using the analyzed data. The proposed method quantifies the social moods expressed in social media contents, whereas the existing methods simply present social tendencies. Our model derived a 27.9% improvement in error reduction compared to a Google Index-based model in the mean absolute percentage error metric.

Effects of Temporal Aggregation on Hannan-Rissanen Procedure

  • Shin, Dong-Wan;Lee, Jong-Hyup
    • Journal of the Korean Statistical Society
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    • 제23권2호
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    • pp.325-340
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    • 1994
  • Effects of temporal aggregation on estimation for ARMA models are studied by investigating the Hannan & Rissanen (1982)'s procedure. The temporal aggregation of autoregressive process has a representation of an autoregressive moving average. The characteristic polynomials associated with autoregressive part and moving average part tend to have roots close to zero or almost identical. This caused a numerical problem in the Hannan & Rissanen procedure for identifying and estimating the temporally aggregated autoregressive model. A Monte-Carlo simulation is conducted to show the effects of temporal aggregation in predicting one period ahead realization.

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