• 제목/요약/키워드: Vector Autoregressive Model

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Cointegration Analysis with Mixed-Frequency Data of Quarterly GDP and Monthly Coincident Indicators

  • Seong, Byeongchan
    • 응용통계연구
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    • 제25권6호
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    • pp.925-932
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    • 2012
  • The article introduces a method to estimate a cointegrated vector autoregressive model, using mixed-frequency data, in terms of a state-space representation of the vector error correction(VECM) of the model. The method directly estimates the parameters of the model, in a state-space form of its VECM representation, using the available data in its mixed-frequency form. Then it allows one to compute in-sample smoothed estimates and out-of-sample forecasts at their high-frequency intervals using the estimated model. The method is applied to a mixed-frequency data set that consists of the quarterly real gross domestic product and three monthly coincident indicators. The result shows that the method produces accurate smoothed and forecasted estimates in comparison to a method based on single-frequency data.

구조적 오차수정모형을 이용한 한국노동시장 자료분석 (Structural Vector Error Correction Model for Korean Labor Market Data)

  • 성병찬;정효상
    • 응용통계연구
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    • 제26권6호
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    • pp.1043-1051
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    • 2013
  • 본 논문에서는, 구조적 오차수정모형을 한국의 노동시장 자료에 적용함으로써, 실업률에 미치는 구조적 충격의 영향을 분석한다. 이를 위하여 기술력, 노동수요, 노동공급, 임금 부문에서의 충격을 정의하였으며, 이를 각각 노동생산성, 취업자 수, 실업률, 실질임금과 연결하였다. 그 결과로서, 노동수요 및 노동공급 충격이 각각 장기적 및 단기적으로 실업률에 유의한 영향을 미치는 것으로 나타났다.

A Cointegration Test Based on Weighted Symmetric Estimator

  • Son Bu-Il;Shin Key-Il
    • Communications for Statistical Applications and Methods
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    • 제12권3호
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    • pp.797-805
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    • 2005
  • Multivariate unit root tests for the VAR(p) model have been commonly used in time series analysis. Several unit root tests were developed and recently Shin(2004) suggested a cointegration test based on weighted symmetric estimator. In this paper, we suggest a multivariate unit root test statistic based on the weighted symmetric estimator. Using a small simulation study, we compare the powers of the new test statistic with the statistics suggested in Shin(2004) and Fuller(1996).

Diagnostics for Regression with Finite-Order Autoregressive Disturbances

  • Lee, Young-Hoon;Jeong, Dong-Bin;Kim, Soon-Kwi
    • Journal of the Korean Statistical Society
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    • 제31권2호
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    • pp.237-250
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    • 2002
  • Motivated by Cook's (1986) assessment of local influence by investigating the curvature of a surface associated with the overall discrepancy measure, this paper extends this idea to the linear regression model with AR(p) disturbances. Diagnostic for the linear regression models with AR(p) disturbances are discussed when simultaneous perturbations of the response vector are allowed. For the derived criterion, numerical studies demonstrate routine application of this work.

A Hilbert-Huang Transform Approach Combined with PCA for Predicting a Time Series

  • Park, Min-Jeong
    • 응용통계연구
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    • 제24권6호
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    • pp.995-1006
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    • 2011
  • A time series can be decomposed into simple components with a multiscale method. Empirical mode decomposition(EMD) is a recently invented multiscale method in Huang et al. (1998). It is natural to apply a classical prediction method such a vector autoregressive(AR) model to the obtained simple components instead of the original time series; in addition, a prediction procedure combining a classical prediction model to EMD and Hilbert spectrum is proposed in Kim et al. (2008). In this paper, we suggest to adopt principal component analysis(PCA) to the prediction procedure that enables the efficient selection of input variables among obtained components by EMD. We discuss the utility of adopting PCA in the prediction procedure based on EMD and Hilbert spectrum and analyze the daily worm account data by the proposed PCA adopted prediction method.

GMM Estimation for Seasonal Cointegration

  • Park, Suk-Kyung;Cho, Sin-Sup;Seon, Byeong-Chan
    • 응용통계연구
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    • 제24권2호
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    • pp.227-237
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    • 2011
  • This paper considers a generalized method of moments(GMM) estimation for seasonal cointegration as the extension of Kleibergen (1999). We propose two iterative methods for the estimation according to whether parameters in the model are simultaneously estimated or not. It is shown that the GMM estimator coincides in form to a maximum likelihood estimator or a feasible two-step estimator. In addition, we derive its asymptotic distribution that takes the same form as that in Ahn and Reinsel (1994).

On the Optimal Adaptive Estimation in the Semiparametric Non-linear Autoregressive Time Series Model

  • So, Beong-Soo
    • Journal of the Korean Statistical Society
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    • 제24권1호
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    • pp.149-160
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    • 1995
  • We consider the problem of optimal adaptive estiamtion of the euclidean parameter vector $\theta$ of the univariate non-linerar autogressive time series model ${X_t}$ which is defined by the following system of stochastic difference equations ; $X_t = \sum^p_{i=1} \theta_i \cdot T_i(X_{t-1})+e_t, t=1, \cdots, n$, where $\theta$ is the unknown parameter vector which descrives the deterministic dynamics of the stochastic process ${X_t}$ and ${e_t}$ is the sequence of white noises with unknown density $f(\cdot)$. Under some general growth conditions on $T_i(\cdot)$ which guarantee ergodicity of the process, we construct a sequence of adaptive estimatros which is locally asymptotic minimax (LAM) efficient and also attains the least possible covariance matrix among all regular estimators for arbitrary symmetric density.

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Causality of Forest Inventory and Roundwood Supply in Korea

  • Kim, Dong-Jun;Kim, Eui-Gyeong
    • 한국산림과학회지
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    • 제95권5호
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    • pp.539-542
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    • 2006
  • This study confirmed econometrically the causality of forest inventory and roundwood supply using Korean data. In general, forest inventory is included as explanatory variable in roundwood supply function. We checked whether each series is stationary or not before using it in the model, and determined whether the combination of the series is comtegrated. The relationship between forest inventory and roundwood supply was represented by bivariate vector autoregressive model. The causality of forest evidence of the causal relationship between change in forest inventory and change in roundwood supply in Korea. That is, change in forest inventory does not cause change in roundwood supply in Korea. It seems reasonable not to include forest inventory as explanatory variable in roundwood supply function in Korea.

ARIMA와 VAR·VEC 모형에 의한 부산항 물동량 예측과 관련성연구 (Study on the Forecasting and Relationship of Busan Cargo by ARIMA and VAR·VEC)

  • 이성윤;안기명
    • 한국항해항만학회지
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    • 제44권1호
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    • pp.44-52
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    • 2020
  • 세계적인 장기경기침체 속에서 보다 정확한 물동량 예측은 항만정책 수행에 중요하다. 따라서, 본 연구에서는 부산항 컨테이너 물동량(수출입화물과 환적화물)을 단변량 모형인 ARIMA 뿐만 아니라 인과관계가 있을 것으로 예상되는 경제규모(한국, 중국, 미국의 국내총생산), 금리수준 그리고 경기변동을 고려한 벡터자기회귀모형과 벡터오차수정모형을 활용하여 추정하고 비교하였다. 측정자료는 2014년 1월부터 2019년 8월까지 월별 부산항 컨테이너 물동량이다. 분석결과에 의하면, 수출입물동량 시계열은 비교적 안정적(stationary)이어서 VAR에 의해 추정하였고 환적화물은 불안정적(non-stationary)하지만, 경제규모, 금리 및 경기변동과 공적분(장기적인 균형관계)를 띠고 있어 VEC모형으로 추정하였다. 추정결과, 안정적인 수출입화물 추정에서는 단변량 모형인 ARIMA가 우수하고 추세가 있는 환적화물은 다변량모형인 VEC모형이 보다 예측력이 우수한 것으로 나타나고 있다. 특히 수출입화물은 우리나라 경제규모와 관련이 있고, 환적화물은 중국과 미국 경제규모와 밀접한 관련이 있다. 또한 중국 경제규모가 미국에 비하여 더 밀접하게 나타나고 있어 환적화물 증대전략에 시사점을 주고 있다.

Application of time series based damage detection algorithms to the benchmark experiment at the National Center for Research on Earthquake Engineering (NCREE) in Taipei, Taiwan

  • Noh, Hae Young;Nair, Krishnan K.;Kiremidjian, Anne S.;Loh, C.H.
    • Smart Structures and Systems
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    • 제5권1호
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    • pp.95-117
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    • 2009
  • In this paper, the time series based damage detection algorithms developed by Nair, et al. (2006) and Nair and Kiremidjian (2007) are applied to the benchmark experimental data from the National Center for Research on Earthquake Engineering (NCREE) in Taipei, Taiwan. Both acceleration and strain data are analyzed. The data are modeled as autoregressive (AR) processes, and damage sensitive features (DSF) and feature vectors are defined in terms of the first three AR coefficients. In the first algorithm developed by Nair, et al. (2006), hypothesis tests using the t-statistic are applied to evaluate the damaged state. A damage measure (DM) is defined to measure the damage extent. The results show that the DSF's from the acceleration data can detect damage while the DSF from the strain data can be used to localize the damage. The DM can be used for damage quantification. In the second algorithm developed by Nair and Kiremidjian (2007) a Gaussian Mixture Model (GMM) is used to model the feature vector, and the Mahalanobis distance is defined to measure damage extent. Additional distance measures are defined and applied in this paper to quantify damage. The results show that damage measures can be used to detect, quantify, and localize the damage for the high intensity and the bidirectional loading cases.