• 제목/요약/키워드: Autoregressive Moving Average Model

검색결과 150건 처리시간 0.031초

Bayesian modeling of random effects precision/covariance matrix in cumulative logit random effects models

  • Kim, Jiyeong;Sohn, Insuk;Lee, Keunbaik
    • Communications for Statistical Applications and Methods
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    • 제24권1호
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    • pp.81-96
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    • 2017
  • Cumulative logit random effects models are typically used to analyze longitudinal ordinal data. The random effects covariance matrix is used in the models to demonstrate both subject-specific and time variations. The covariance matrix may also be homogeneous; however, the structure of the covariance matrix is assumed to be homoscedastic and restricted because the matrix is high-dimensional and should be positive definite. To satisfy these restrictions two Cholesky decomposition methods were proposed in linear (mixed) models for the random effects precision matrix and the random effects covariance matrix, respectively: modified Cholesky and moving average Cholesky decompositions. In this paper, we use these two methods to model the random effects precision matrix and the random effects covariance matrix in cumulative logit random effects models for longitudinal ordinal data. The methods are illustrated by a lung cancer data set.

Dynamic bivariate correlation methods comparison study in fMRI

  • Jaehee Kim
    • Communications for Statistical Applications and Methods
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    • 제31권1호
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    • pp.87-104
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    • 2024
  • Most functional magnetic resonance imaging (fMRI) studies in resting state have assumed that the functional connectivity (FC) between time series from distinct brain regions is constant. However, increased interest has recently been in quantifying possible dynamic changes in FC during fMRI experiments. FC study may provide insight into the fundamental workings of brain networks to brain activity. In this work, we focus on the specific problem of estimating the dynamic behavior of pairwise correlations between time courses extracted from two different brain regions. We compare the sliding-window techniques such as moving average (MA) and exponentially weighted moving average (EWMA), dynamic causality with vector autoregressive (VAR) model, dynamic conditional correlation (DCC) based on volatility, and the proposed alternative methods to use differencing and recursive residuals. We investigate the properties of those techniques in a series of simulation studies. We also provide an application with major depressive disorder (MDD) patient fMRI data to demonstrate studying dynamic correlations.

선형 영구자석 동기전동기의 최소자승법을 적용한 질량 추정 (Mass Estimation of a Permanent Magnet Linear Synchronous Motor by the Least-Squares Algorithm)

  • 이진우
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2005년도 전력전자학술대회 논문집
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    • pp.427-429
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    • 2005
  • In order to tune the speed controller in the linear servo applications the accurate information of a mover mass including a load mass is always required. This paper suggests the mass estimation method of a permanent magnet linear synchronous motor(PMLSM) by using the parameter estimation method of Least-Squares algorithm. First, the deterministic autoregressive moving average(DARMA) model of the mechanical dynamic system is derived. The application of the Least-Squares algorithm shows that the mass can be accurately estimated both in the simulation results and in the experimental results.

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Comparison study of SARIMA and ARGO models for in influenza epidemics prediction

  • Jung, Jihoon;Lee, Sangyeol
    • Journal of the Korean Data and Information Science Society
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    • 제27권4호
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    • pp.1075-1081
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    • 2016
  • The big data analysis has received much attention from the researchers working in various fields because the big data has a great potential in detecting or predicting future events such as epidemic outbreaks and changes in stock prices. Reflecting the current popularity of big data analysis, many authors have proposed methods tracking influenza epidemics based on internet-based information. The recently proposed 'autoregressive model using Google (ARGO) model' (Yang et al., 2015) is one of those influenza tracking models that harness search queries from Google as well as the reports from the Centers for Disease Control (CDC), and appears to outperform the existing method such as 'Google Flu Trends (GFT)'. Although the ARGO predicts well the outbreaks of influenza, this study demonstrates that a classical seasonal autoregressive integrated moving average (SARIMA) model can outperform the ARGO. The SARIMA model incorporates more accurate seasonality of the past influenza activities and takes less input variables into account. Our findings show that the SARIMA model is a functional tool for monitoring influenza epidemics.

계절성 ARIMA 모형을 이용한 항공화물 수요예측: 인천국제공항발 유럽항공노선을 중심으로 (Forecasting the Air Cargo Demand With Seasonal ARIMA Model: Focusing on ICN to EU Route)

  • 민경창;전영인;하헌구
    • 대한교통학회지
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    • 제31권3호
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    • pp.3-18
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    • 2013
  • 본 연구는 2000년 1사분기부터 2010년 4사분기 까지 인천국제공항에서 출발하여 유럽내 모든공항에 도착한 항공화물의 시계열 자료를 바탕으로 SARIMA 모형을 활용, 수요예측 모형을 구축하였다. 또한 SARIMA 모형을 활용하여 구축한 예측모형을 기존에 주로 활용되어진 ARIMA 모형과 그 예측정확성을 비교 분석함으로써 SARIMA 모형의 정확성을 확인하였다. 현재 국내교통수요를 예측하는 부문에 있어서 SARIMA 모형을 활용한 경우는 극히 드물다. 또한 공항의 총 여객수요나 화물량이 아닌 항공노선의 수요예측에 관한 연구 역시 찾아보기 힘들다. 이러한 상황 하에서, SARIMA 모형을 활용하여 인천국제공항 발 유럽노선의 항공화물 수요를 예측한 본 연구는 상당히 큰 의미가 있다고 생각된다.

제주도에서의 ARMA 모델을 기반으로한 단기 풍속 예측 (SHORT-TERM WIND SPEED FORECAST BASED ON ARMA MODEL IN JEJU ISLAND)

  • 도응우엔대풍;임진택;이연찬;오웅진;최재석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2015년도 제46회 하계학술대회
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    • pp.329-330
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    • 2015
  • From the results of previous my paper [10] in 2015 year of economic and electrical power storage research conference in Naju, this paper describes an application of autoregressive and moving average (ARMA) model to forecast hourly average wind speed (HAWS) in Jeju island. The models are used to build up short-term forecast of hourly average wind speed by the weighted sum of previous wind speed values.

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ARMA Modeling for Nonstationary Time Series Data without Differencing

  • Shin, Dong-Wan;Park, You-Sung
    • Journal of the Korean Statistical Society
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    • 제28권3호
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    • pp.371-387
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    • 1999
  • For possibly nonstationary autoregressive moving average, modeling based on the original observations rather than the differenced observations is considered. Under this scheme, sample autocorrelation functions, parameter estimates, model diagnostic statistics, and prediction are all computed from the original data instead of the differenced data. The methods and results established under stationarity of data are shown to naturally extend to the nonstationarity of one autoregressive unit root. The sample ACF and PACF can be used for ARMA order determination. The BIC order is strongly consistent. The parameter estimates are asymptotically normal. The portmanteau statistic has chi-square distribution. The predictor is asymptotically equivalent to that based on the differenced data.

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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.

ARMA-GARCH 모형에 의한 중국 금 선물 시장 가격 변동에 대한 분석 및 예측 (Volatility analysis and Prediction Based on ARMA-GARCH-typeModels: Evidence from the Chinese Gold Futures Market)

  • 이몽화;김석태
    • 무역학회지
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    • 제47권3호
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    • pp.211-232
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    • 2022
  • Due to the impact of the public health event COVID-19 epidemic, the Chinese futures market showed "Black Swan". This has brought the unpredictable into the economic environment with many commodities falling by the daily limit, while gold performed well and closed in the sunshine(Yan-Li and Rui Qian-Wang, 2020). Volatility is integral part of financial market. As an emerging market and a special precious metal, it is important to forecast return of gold futures price. This study selected data of the SHFE gold futures returns and conducted an empirical analysis based on the generalised autoregressive conditional heteroskedasticity (GARCH)-type model. Comparing the statistics of AIC, SC and H-QC, ARMA (12,9) model was selected as the best model. But serial correlation in the squared returns suggests conditional heteroskedasticity. Next part we established the autoregressive moving average ARMA-GARCH-type model to analysis whether Volatility Clustering and the leverage effect exist in the Chinese gold futures market. we consider three different distributions of innovation to explain fat-tailed features of financial returns. Additionally, the error degree and prediction results of different models were evaluated in terms of mean squared error (MSE), mean absolute error (MAE), Theil inequality coefficient(TIC) and root mean-squared error (RMSE). The results show that the ARMA(12,9)-TGARCH(2,2) model under Student's t-distribution outperforms other models when predicting the Chinese gold futures return series.

버스정보기반 통행속도 추정에 관한 연구 (A Study on the Travel Speed Estimation Using Bus Information)

  • 빈미영;문주백;임승국
    • 한국ITS학회 논문지
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    • 제12권4호
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    • pp.1-10
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    • 2013
  • 본 연구는 버스정보가 도로의 통행속도 정보로 활용될 수 있는지를 검토하기 위한 연구이다. 도로통행속도를 파악하기 위해 설치된 지점검지기, 구간검지기로부터 수집되는 정보와 경기도에서 수집되는 버스정보를 속도정보로 가공하여 비교하였다. 버스정보가 교통정보 검지기의 기능을 할 수 있다면, 통행속도 정보를 제공할 수 있다. 이를 위해서는 도로구간의 교통류에 대한 패턴을 인식할 필요가 있다. 본 연구에서는 새로운 접근방법보다는 기존에 검증된 방법을 중심으로 버스정보를 이용한 교통류 패턴 인식 방법을 적용하여 버스정보의 활용 가능성을 제시하였다. 또한 버스정보를 이용하여 모형을 추정하였는데, 단순이동, 지수평활법과 이중이동, 이중지수평활법, ARIMA(p,d,q)모형을 적용하였다. 이 모형들은 평가지표인 100-MAPE, MAE, EC로 비교한 결과 상호 비슷한 결과를 나타냈으나, 단순평균이동법이 가장 우수한 결과를 나타냈다. 이로서 버스정보를 구간의 통행속도로 이용할 경우, 모형의 추정도 가능하다는 것을 확인하였다.