• Title/Summary/Keyword: 자기회귀이동평균

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Prediction of Covid-19 confirmed number of cases using ARIMA model (ARIMA모형을 이용한 코로나19 확진자수 예측)

  • Kim, Jae-Ho;Kim, Jang-Young
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.25 no.12
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    • pp.1756-1761
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    • 2021
  • Although the COVID-19 outbreak that occurred in Wuhan, Hubei around December 2019, seemed to be gradually decreasing, it was gradually increasing as of November 2020 and June 2021, and estimated confirmed cases were 192 million worldwide and approximately 184 thousand in South Korea. The Central Disaster and Safety Countermeasures Headquarters have been taking strong countermeasures by implementing level 4 social distancing. However, as the highly infectious COVID-19 variants, such as Delta mutation, have been on the rise, the number of daily confirmed cases in Korea has increased to 1,800. Therefore, the number of cumulative confirmed COVID-19 cases is predicted using ARIMA algorithms to emphasize the severity of COVID-19. In the process, differences are used to remove trends and seasonality, and p, d, and q values are determined and forecasted in ARIMA using MA, AR, autocorrelation functions, and partial autocorrelation functions. Finally, forecast and actual values are compared to evaluate how well it was forecasted.

Model selection for unstable AR process via the adaptive LASSO (비정상 자기회귀모형에서의 벌점화 추정 기법에 대한 연구)

  • Na, Okyoung
    • The Korean Journal of Applied Statistics
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    • v.32 no.6
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    • pp.909-922
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    • 2019
  • In this paper, we study the adaptive least absolute shrinkage and selection operator (LASSO) for the unstable autoregressive (AR) model. To identify the existence of the unit root, we apply the adaptive LASSO to the augmented Dickey-Fuller regression model, not the original AR model. We illustrate our method with simulations and a real data analysis. Simulation results show that the adaptive LASSO obtained by minimizing the Bayesian information criterion selects the order of the autoregressive model as well as the degree of differencing with high accuracy.

Estimation of Prediction Values in ARMA Models via the Transformation and Back-Transformation Method (변환-역변환을 통한 자기회귀이동평균모형에서의 예측값 추정)

  • Yeo, In-Kwon;Cho, Hye-Min
    • The Korean Journal of Applied Statistics
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    • v.21 no.3
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    • pp.537-546
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    • 2008
  • One of main goals of time series analysis is to estimate prediction of future values. In this paper, we investigate the bias problem when the transformation and back- transformation approach is applied in ARMA models and introduce a modified smearing estimation to reduce the bias. An empirical study on the returns of KOSDAQ index via Yeo-Johnson transformation was executed to compare the performance of existing methods and proposed methods and showed that proposed approaches provide a bias-reduced estimation of the prediction value.

Autocovariance based estimation in the linear regression model (선형회귀 모형에서 자기공분산 기반 추정)

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.5
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    • pp.839-847
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    • 2011
  • In this study, we derive an estimator based on autocovariance for the regression coefficients vector in the multiple linear regression model. This method is suggested by Park (2009), and although this method does not seem to be intuitively attractive, this estimator is unbiased for the regression coefficients vector. When the vectors of exploratory variables satisfy some regularity conditions, under mild conditions which are satisfied when errors are from autoregressive and moving average models, this estimator has asymptotically the same distribution as the least squares estimator and also converges in probability to the regression coefficients vector. Finally we provide a simulation study that the forementioned theoretical results hold for small sample cases.

A Comparison of Autoregressive Integrated Moving Average and Artificial Neural Network for Time Series Prediction (자기회귀누적이동평균모형과 신경망모형을 이용한 시계열예측의 비교)

  • Yoon, YeoChang
    • Proceedings of the Korea Information Processing Society Conference
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    • 2011.11a
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    • pp.1516-1519
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    • 2011
  • 예측에 필요한 중요한 자료에는 비선형 자료와 시계열과 같은 선형 자료 등이 있다. 이들 자료는 그 함축적인 관계가 매우 복잡하여 전통적인 통계분석 도구로 식별하는데 어려움이 많다. 신경망 분석은 비모수적 문제나 비선형 곡선 적합능력의 우수성 때문에 현실세계에서의 고유한 복잡성을 다루는 많은 경제 응용 분야에서 널리 이용되고 있다. 신경망은 또한 경제 시계열자료의 예측분야에서도 여러 연구에서 훌륭한 도구로서 적용되고 있다. 전통적으로 우리나라에서 시계열자료의 예측은 선형 자료적 분석을 중심으로 하는 분석도구인 자기회귀누적이동평균(ARIMA)모형을 이용한 시계열분석이 일반적이다. 이 연구에서는 신경망과 ARIMA 모형을 이용하여 한국의 주가변동 자료 및 자동차등록 현황 자료등과 같은 시계열자료를 이용한 예측결과를 비교한다. 연구의 결과는 신경망을 이용한 예측 방법들이 ARIMA 예측 결과보다 통계적으로 작은 오차를 주는 보다 효율적인 방법임을 보여주고 있다.

Prediction Interval Estimation in Ttansformed ARMA Models (변환된 자기회귀이동평균 모형에서의 예측구간추정)

  • Cho, Hye-Min;Oh, Sung-Un;Yeo, In-Kwon
    • The Korean Journal of Applied Statistics
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    • v.20 no.3
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    • pp.541-550
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    • 2007
  • One of main aspects of time series analysis is to forecast future values of series based on values up to a given time. The prediction interval for future values is usually obtained under the normality assumption. When the assumption is seriously violated, a transformation of data may permit the valid use of the normal theory. We investigate the prediction problem for future values in the original scale when transformations are applied in ARMA models. In this paper, we introduce the methodology based on Yeo-Johnson transformation to solve the problem of skewed data whose modelling is relatively difficult in the analysis of time series. Simulation studies show that the coverage probabilities of proposed intervals are closer to the nominal level than those of usual intervals.

An estimation method based on autocovariance in the simple linear regression model (단순 선형회귀 모형에서 자기공분산에 근거한 최적 추정 방법)

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.2
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    • pp.251-260
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    • 2009
  • In this study, we propose a new estimation method based on autocovariance for selecting optimal estimators of the regression coefficients in the simple linear regression model. Although this method does not seem to be intuitively attractive, these estimators are unbiased for the corresponding regression coefficients. When the exploratory variable takes the equally spaced values between 0 and 1, under mild conditions which are satisfied when errors follow an autoregressive moving average model, we show that these estimators have asymptotically the same distributions as the least squares estimators. Additionally, under the same conditions as before, we provide a self-contained proof that these estimators converge in probability to the corresponding regression coefficients.

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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.

Time series analysis for the amount of medicine from the Korea Consumer Agency (한국 소비자원 의료분야 처리금액에 대한 시계열 분석)

  • Hee Song Kang;Sukhui Kwon;SungDuck Lee
    • The Korean Journal of Applied Statistics
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    • v.36 no.1
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    • pp.21-32
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    • 2023
  • The amount of money processed in medicine from the Korea Consumer Agency was studied by the various time series models. The medical data set from the Korea Consumer Agency were consisted of counseling, damage relief and conciliation. For the analysis of time series, autoregressive moving average model, vector autoregressive model and the transfer function model were used. We considered the stationarity and cross correlation function for the identification and fitting. As a result, the transfer function model showed a better prediction. Whereas, the vector autoregressive model also provided good information for the degree and duration of the influence of variables.