• Title/Summary/Keyword: ARIMA(Autoregressive Integrated Moving Average)

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Forecasting Internet Traffic by Using Seasonal GARCH Models

  • Kim, Sahm
    • Journal of Communications and Networks
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    • v.13 no.6
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    • pp.621-624
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    • 2011
  • With the rapid growth of internet traffic, accurate and reliable prediction of internet traffic has been a key issue in network management and planning. This paper proposes an autoregressive-generalized autoregressive conditional heteroscedasticity (AR-GARCH) error model for forecasting internet traffic and evaluates its performance by comparing it with seasonal autoregressive integrated moving average (ARIMA) models in terms of root mean square error (RMSE) criterion. The results indicated that the seasonal AR-GARCH models outperformed the seasonal ARIMA models in terms of forecasting accuracy with respect to the RMSE criterion.

Implementation of Integrated Control Chart Using Zone, Multivariate $T^2$ and ARIMA (Zone, 다변량 $T^2$, ARIMA를 이용한 통합관리도의 적용방안)

  • Choi, Sung-Woon
    • Proceedings of the Safety Management and Science Conference
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    • 2010.04a
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    • pp.259-265
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    • 2010
  • The research discusses the implementation of control charts tools of MINITAB which are classified according to the type of data and the existence of subgrouping, weight and multivariate covariance. The paper presents the three integrated models by the use of zone, multivariate $T^2$-GV(Generalized Variance) and ARIMA(Autoregressive Integrated Moving Average).

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Forecasting with a combined model of ETS and ARIMA

  • Jiu Oh;Byeongchan Seong
    • Communications for Statistical Applications and Methods
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    • v.31 no.1
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    • pp.143-154
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    • 2024
  • This paper considers a combined model of exponential smoothing (ETS) and autoregressive integrated moving average (ARIMA) models that are commonly used to forecast time series data. The combined model is constructed through an innovational state space model based on the level variable instead of the differenced variable, and the identifiability of the model is investigated. We consider the maximum likelihood estimation for the model parameters and suggest the model selection steps. The forecasting performance of the model is evaluated by two real time series data. We consider the three competing models; ETS, ARIMA and the trigonometric Box-Cox autoregressive and moving average trend seasonal (TBATS) models, and compare and evaluate their root mean squared errors and mean absolute percentage errors for accuracy. The results show that the combined model outperforms the competing models.

A Correction Technique of Missing Load Data Based on ARIMA Model (ARIMA 모형에 기초한 수요실적자료 보정기법 개발)

  • 박종배;이찬주;이재용;신중린;이창호
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.53 no.7
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    • pp.405-413
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    • 2004
  • Traditionally, electrical power systems had the vertically-integrated industry structures based on the economics of scale. However power systems have been recently reformed to increase the energy efficiency of the power system. According to these trends, Korean power industry has been partially restructured, and the competitive generation market was opened in 2001. In competitive electric markets, correct demand data are one of the most important issue to maintain the flexible electric markets as well as the reliable power systems. However, the measuring load data can have the uncertainty because of mechanical trouble, communication jamming, and other things. To obtain the reliable load data, an efficient evaluation technique to adust the missing load data is needed. This paper analyzes the load pattern of historical real data and then the turned ARIMA (Autoregressive Integrated Moving Average) model, PCHIP(Piecewise Cubic Interporation) and Branch & Bound method are applied to seek the missing parameters. The proposed method is tested under a variety of conditions and tested with historical measured data from the Korea Energy Management Corporation (KEMCO).

Performance comparison for automatic forecasting functions in R (R에서 자동화 예측 함수에 대한 성능 비교)

  • Oh, Jiu;Seong, Byeongchan
    • The Korean Journal of Applied Statistics
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    • v.35 no.5
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    • pp.645-655
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    • 2022
  • In this paper, we investigate automatic functions for time series forecasting in R system and compare their performances. For the exponential smoothing models and ARIMA (autoregressive integrated moving average) models, we focus on the representative time series forecasting functions in R: forecast::ets(), forecast::auto.arima(), smooth::es() and smooth::auto.ssarima(). In order to compare their forecast performances, we use M3-Competiti on data consisting of 3,003 time series and adopt 3 accuracy measures. It is confirmed that each of the four automatic forecasting functions has strengths and weaknesses in the flexibility and convenience for time series modeling, forecasting accuracy, and execution time.

Estimation Model of Wind speed Based on Time series Analysis (시계열 자료 분석기법에 의한 풍속 예측 연구)

  • Kim, Keon-Hoon;Jung, Young-Seok;Ju, Young-Chul
    • 한국태양에너지학회:학술대회논문집
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    • 2008.11a
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    • pp.288-293
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    • 2008
  • A predictive model of wind speed in the wind farm has very important meanings. This paper presents an estimation model of wind speed based on time series analysis using the observed wind data at Hangyeong Wind Farm in Jeju island, and verification of the predictive model. In case of Hangyeong Wind Farm and Haengwon Wind Farm, The ARIMA(Autoregressive Integrated Moving Average) predictive model was appropriate, and the wind speed estimation model was developed by means of parametric estimation using Maximum likelihood Estimation.

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Development of System Marginal Price Forecasting Method Using ARIMA Model (ARIMA 모형을 이용한 계통한계가격 예측방법론 개발)

  • Kim Dae-Yong;Lee Chan-Joo;Jeong Yun-Won;Park Jong-Bae;Shin Joong-Rin
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.55 no.2
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    • pp.85-93
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    • 2006
  • Since the SMP(System Marginal Price) is a vital factor to the market participants who intend to maximize the their profit and to the ISO(Independent System Operator) who wish to operate the electricity market in a stable sense, the short-term marginal price forecasting should be performed correctly. In an electricity market the short-term market price affects considerably the short-term trading between the market entities. Therefore, the exact forecasting of SMP can influence on the profit of market participants. This paper presents a new methodology for a day-ahead SMP forecasting using ARIMA(Autoregressive Integrated Moving Average) model based on the time-series method. And also the correction algorithm is proposed to minimize the forecasting error in order to improve the efficiency and accuracy of the SMP forecasting. To show the efficiency and effectiveness of the proposed method, the case studies are performed using historical data of SMP in 2004 published by KPX(Korea Power Exchange).

Weekly Maximum Electric Load Forecasting for 104 Weeks by Seasonal ARIMA Model (계절 ARIMA 모형을 이용한 104주 주간 최대 전력수요예측)

  • Kim, Si-Yeon;Jung, Hyun-Woo;Park, Jeong-Do;Baek, Seung-Mook;Kim, Woo-Seon;Chon, Kyung-Hee;Song, Kyung-Bin
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.28 no.1
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    • pp.50-56
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    • 2014
  • Accurate midterm load forecasting is essential to preventive maintenance programs and reliable demand supply programs. This paper describes a midterm load forecasting method using autoregressive integrated moving average (ARIMA) model which has been widely used in time series forecasting due to its accuracy and predictability. The various ARIMA models are examined in order to find the optimal model having minimum error of the midterm load forecasting. The proposed method is applied to forecast 104-week load pattern using the historical data in Korea. The effectiveness of the proposed method is evaluated by forecasting 104-week load from 2011 to 2012 by using historical data from 2002 to 2010.

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

  • Min, Kyung-Chang;Jun, Young-In;Ha, Hun-Koo
    • Journal of Korean Society of Transportation
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    • v.31 no.3
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    • pp.3-18
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    • 2013
  • This study develops a forecasting method to estimate air cargo demand from ICN(Incheon International Airport) to all airports in EU with Seasonal Autoregressive Integrated Moving Average (SARIMA) Model using volumes from the first quarter of 2000 to the fourth quarter of 2009. This paper shows the superiority of SARIMA Model by comparing the forecasting accuracy of SARIMA with that of other ARIMA (Autoregressive Integrated Moving Average) models. Given that very few papers and researches focuses on air route, this paper will be helpful to researchers concerned with air cargo.

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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    • v.18 no.3
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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.