• 제목/요약/키워드: autoregressive model

검색결과 745건 처리시간 0.038초

Stochastic Simulation Model for non-stationary time series using Wavelet AutoRegressive Model

  • Moon, Young-Il;Kwon, Hyun-Han
    • 한국수자원학회:학술대회논문집
    • /
    • 한국수자원학회 2007년도 학술발표회 논문집
    • /
    • pp.1437-1440
    • /
    • 2007
  • Many hydroclimatic time series are marked by interannual and longer quasi-period features that are associated with narrow band oscillatory climate modes. A time series modeling approach that directly considers such structures is developed and presented. The essence of the approach is to first develop a wavelet decomposition of the time series that retains only the statistically significant wavelet components, and to then model each such component and the residual time series as univariate autoregressive processes. The efficacy of this approach is demonstrated through the simulation of observed and paleo reconstructions of climate indices related to ENSO and AMO, tree ring and rainfall time series. Long ensemble simulations that preserve the spectral attributes of the time series in each ensemble member can be generated. The usual low order statistics are preserved by the proposed model, and its long memory performance is superior to the direction application of an autoregressive model.

  • PDF

Development of Dam Inflow Simulation Method Based on Bayesian Autoregressive Exogenous Stochastic Volatility (ARXSV) model

  • 파멜라 파비안;김호준;김기철;권현한
    • 한국수자원학회:학술대회논문집
    • /
    • 한국수자원학회 2022년도 학술발표회
    • /
    • pp.437-437
    • /
    • 2022
  • The prediction of dam inflow rate is crucial for the management of the largest multi-purpose dam in South Korea, the Soyang Dam. The main issue associated with the management of water resources is the stochastic nature of the reservoir inflow leading to an increase in uncertainty associated with the inflow prediction. The Autoregressive (AR) model is commonly used to provide the simulation and forecast of hydrometeorological data. However, because its estimation is based solely on the time-series data, it has the disadvantage of being unable to account for external variables such as climate information. This study proposes the use of the Autoregressive Exogenous Stochastic Volatility (ARXSV) model within a Bayesian modeling framework for increased predictability of the monthly dam inflow by addressing the exogenous and stochastic factors. This study analyzes 45 years of hydrological input data of the Soyang Dam from the year 1974 to 2019. The result of this study will be beneficial to strengthen the potential use of data-driven models for accurate inflow predictions and better reservoir management.

  • PDF

자기회귀 잡음모델을 가진 플랜트의 일반화 최소분산제어 (Generalized minimum variance control of plant with autoregressive noise model)

  • 박정일;최계근
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1986년도 한국자동제어학술회의논문집; 한국과학기술대학, 충남; 17-18 Oct. 1986
    • /
    • pp.370-372
    • /
    • 1986
  • In this paper we propose a Generalized Minimum Variance Self-tuning Control of the system with an autoregressive noise model. To establish a Generalized Minimum Variance Control, the control input is also included in a cost function and a novel identity is introduced. The effectiveness of this algorithm is demonstrated by the computer simulation.

  • PDF

Hourly Average Wind Speed Simulation and Forecast Based on ARMA Model in Jeju Island, Korea

  • Do, Duy-Phuong N.;Lee, Yeonchan;Choi, Jaeseok
    • Journal of Electrical Engineering and Technology
    • /
    • 제11권6호
    • /
    • pp.1548-1555
    • /
    • 2016
  • This paper presents an application of time series analysis in hourly wind speed simulation and forecast in Jeju Island, Korea. Autoregressive - moving average (ARMA) model, which is well in description of random data characteristics, is used to analyze historical wind speed data (from year of 2010 to 2012). The ARMA model requires stationary variables of data is satisfied by power law transformation and standardization. In this study, the autocorrelation analysis, Bayesian information criterion and general least squares algorithm is implemented to identify and estimate parameters of wind speed model. The ARMA (2,1) models, fitted to the wind speed data, simulate reference year and forecast hourly wind speed in Jeju Island.

Stationary bootstrapping for structural break tests for a heterogeneous autoregressive model

  • Hwang, Eunju;Shin, Dong Wan
    • Communications for Statistical Applications and Methods
    • /
    • 제24권4호
    • /
    • pp.367-382
    • /
    • 2017
  • We consider an infinite-order long-memory heterogeneous autoregressive (HAR) model, which is motivated by a long-memory property of realized volatilities (RVs), as an extension of the finite order HAR-RV model. We develop bootstrap tests for structural mean or variance changes in the infinite-order HAR model via stationary bootstrapping. A functional central limit theorem is proved for stationary bootstrap sample, which enables us to develop stationary bootstrap cumulative sum (CUSUM) tests: a bootstrap test for mean break and a bootstrap test for variance break. Consistencies of the bootstrap null distributions of the CUSUM tests are proved. Consistencies of the bootstrap CUSUM tests are also proved under alternative hypotheses of mean or variance changes. A Monte-Carlo simulation shows that stationary bootstrapping improves the sizes of existing tests.

AR(1)모형에서 자기회귀계수의 다중검정을 위한 베이지안방법 (Bayesian Method for the Multiple Test of an Autoregressive Parameter in Stationary AR(L) Model)

  • 김경숙;손영숙
    • 응용통계연구
    • /
    • 제16권1호
    • /
    • pp.141-150
    • /
    • 2003
  • 본 논문은 베이즈인자(Bayes factor)를 이용하여 정상(stationary) AR(1)모형의 자기회귀계수에 대해 다중검정하는 방법을 제시한다. 모수들에 대한 사전분포로는 무정보 사전분포(noninformative prior distribution)를 가정한다. 이러한 경우에 통상적으로 사용되는 베이즈인자를 근사없이 정확히 계산하여 각 모형에 대한 사후확률(posterior probability)을 얻는다. 최종적으로 모의실험 자료 및 실제 자료에 적용하여 이론의 결과가 잘 부합되는지를 검토한다.

자기회귀 벡터모델을 이용한 정면밀링의 동절삭력 모델해석 (An Analysis of Dynamic Cutting Force Model for Face Milling Using Modified Autoregressive Vector Model)

  • 백대균;김정현;김희술
    • 대한기계학회논문집
    • /
    • 제17권12호
    • /
    • pp.2949-2961
    • /
    • 1993
  • Dynamic cutting process can be represented by a closed-loop0 system consisted of machine tool structure and pure cutting process. On this paper, cutting system is modeled as a six degrees of freedom system using MARV(Modified Autoregressive Vector) model in face milling, and the modeled dynamic cutting process is used to predict dynamic cutting force component. Based on the double modulation principle, a dynamic cutting force model is developed. From the simulated relative displacements between tool and workpiece the dynamic force domponents can be calculated, and the dynamic force can be obtained by superposition of the static force and dynamic force components. The simulated dynamic cutting forces have a good agreement with the measured cutting force.

자기회귀 모델을 이용한 팔 운동 근전신호의 기능분리 (Functional Separation of Myoelectric Signal of Human Arm Movements using Autoregressive Model)

  • 홍성우;손재현;서상민;이은철;이규영;남문현
    • 전자공학회논문지B
    • /
    • 제30B권4호
    • /
    • pp.76-84
    • /
    • 1993
  • In this thesis, general method using autoregressive model in the functional separation of the myoelectric signal of human arm movements are suggested. 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 squares error. With the error signals of autoregressive(AR) model, the result showed that the highest success, rate was abtained in the case of 4th order, and success rate was decreased with increase of order. This technique might be applied to biomedical-and rehabilitation-engi-neering.

  • PDF

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

  • Chae, Jongchul;Kim, Yeon Han
    • 천문학회지
    • /
    • 제50권2호
    • /
    • pp.21-27
    • /
    • 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.

Sparse vector heterogeneous autoregressive model with nonconvex penalties

  • Shin, Andrew Jaeho;Park, Minsu;Baek, Changryong
    • Communications for Statistical Applications and Methods
    • /
    • 제29권1호
    • /
    • pp.53-64
    • /
    • 2022
  • High dimensional time series is gaining considerable attention in recent years. The sparse vector heterogeneous autoregressive (VHAR) model proposed by Baek and Park (2020) uses adaptive lasso and debiasing procedure in estimation, and showed superb forecasting performance in realized volatilities. This paper extends the sparse VHAR model by considering non-convex penalties such as SCAD and MCP for possible bias reduction from their penalty design. Finite sample performances of three estimation methods are compared through Monte Carlo simulation. Our study shows first that taking into cross-sectional correlations reduces bias. Second, nonconvex penalties performs better when the sample size is small. On the other hand, the adaptive lasso with debiasing performs well as sample size increases. Also, empirical analysis based on 20 multinational realized volatilities is provided.