• Title/Summary/Keyword: ARIMA

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Parameter Space Restriction in State-Space Model (상태 공간 모형에서의 모수 공간 제약)

  • Jeon, Deok-Bin;Kim, Dong-Su;Park, Seong-Ho
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.11a
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    • pp.169-172
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    • 2006
  • Most studies using state-space models have been conducted under the assumption of independently distributed noises in measurement and state equation without adequate verification of the assumption. To avoid the improper use of state-space model, testing the assumption prior to the parameter estimation of state-space model is very important. The purpose of this paper is to investigate the general relationship between parameters of state-space models and those of ARIMA processes. Under the assumption, we derive restricted parameter spaces of ARIMA(p,0,p-1) models with mutually different AR roots where $p\;{\le}\;5$. In addition, the results of ARIMA(p,0,p-1) case can be expanded to more general ARIMA models, such as ARIMA(p-1,0,p-1), ARIMA(p-1,1,p-1), ARIMA(p,0,p-2) and ARIMA(p-1,1,p-2).

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Stochastic Forecasting of Monthly River Flwos by Multiplicative ARIMA Model (Multiplicative ARIMA 모형에 의한 월유량의 추계학적 모의 예측)

  • 박무종;윤용남
    • Water for future
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    • v.22 no.3
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    • pp.331-339
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    • 1989
  • The monthly flows with periodicity and trend were forecasted by multiplicative ARIMA model and then the applicability of the model was tested based on 23 years of the historical monthly flow data at Jindong river stage gauging station in the Nakdong River Basin. The parameter estimation was made with 21 years of data and the remaining two years of monthly data were used to compare the forecasted flows by ARIMA (2,0,0)$\times$$(0,1,1)_{12}$ with the observed. The results of forecast showed a good agreement with the observed, implying the applicability of multiplicative ARIMA model for forecasting monthly river flows at the Jindong site.

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A Study on Dynamic Change of Transportation Demand Using Seasonal ARIMA Model (계절성을 감안한 ARIMA 모형을 이용한 교통수요 동태적 변화 연구)

  • Lee, Jae-Min;Gwon, Yong-Jae
    • Journal of Korean Society of Transportation
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    • v.29 no.5
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    • pp.139-155
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    • 2011
  • This study is to estimate the dynamic change of the regional railway passenger traffic and, based on the estimated, to forecast the future regional railway passenger traffic by using the Seasonal ARIMA model. The existing studies using ARIMA failed to consider seasonality nor the monthly or the quarterly data. It was attempted in this study to use the monthly regional railway passenger traffic data to propose a model that estimates dynamic change of demand. The authors employed the Seasonal ARIMA model previously developed and used (1) the numbers of monthly passenger data and (2) the monthly passenger-km data. The test results showed that the numbers of passengers in 2015 and 2020 would increase by 36% and 71%, respectively, compared to those in 2008. The numbers of passenger-kms in 2015 and 2020 would increase by 25% and 78%, respectively, compared to those in 2008.

A study on the forecast of port traffic using hybrid ARIMA-neural network model (하이브리드 ARIMA-신경망 모델을 통한 컨테이너물동량 예측에 관한 연구)

  • Shin, Chang-Hoon;Kang, Jeong-Sick;Park, Soo-Nam;Lee, Ji-Hoon
    • Journal of Navigation and Port Research
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    • v.32 no.1
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    • pp.81-88
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    • 2008
  • The forecast of a container traffic has been very important for port plan and development. Generally, statistic methods, such as regression analysis, ARIMA, have been much used for traffic forecasting. Recent research activities in forecasting with artificial neural networks(ANNs) suggest that ANNs can be a promising alternative to the traditional linear methods. In this paper, a hybrid methodology that combines both ARIMA and ANN models is proposed to take advantage of the unique strength of ARIMA and ANN models in linear and nonlinear modeling. The results with port traffic data indicate that effectiveness can differ according to the characteristics of ports.

A study on the forecast of container traffic using hybrid ARIMA-neural network model (하이브리드 ARIMA-신경망 모델을 통한 항만물동량 예측에 관한 연구)

  • Shin, Chang-Hoon;Kang, Jeong-Sick;Park, Soo-Nam;Lee, Ji-Hoon
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2007.12a
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    • pp.259-260
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    • 2007
  • The forecast of a container traffic has been very important for port plan and development Generally, statistic methods, such as regression analysis, ARIMA, have been much used for traffic forecasting. Recent research activities in forecasting with artificial neural networks(ANNs) suggest tint ANNs am be a promising alternative to the traditional linear methods. In this paper, a hybrid methodology that combines both ARIMA and ANN models is proposed to take advantage of the unique strength of ARIMA and ANN models in linear and nonlinear modeling. The results with port traffic data indicate tint effectiveness can differ according to the ch1racteristics of ports.

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Prediction of Energy Consumption in a Smart Home Using Coherent Weighted K-Means Clustering ARIMA Model

  • Magdalene, J. Jasmine Christina;Zoraida, B.S.E.
    • International Journal of Computer Science & Network Security
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    • v.22 no.10
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    • pp.177-182
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    • 2022
  • Technology is progressing with every passing day and the enormous usage of electricity is becoming a necessity. One of the techniques to enjoy the assistances in a smart home is the efficiency to manage the electric energy. When electric energy is managed in an appropriate way, it drastically saves sufficient power even to be spent during hard time as when hit by natural calamities. To accomplish this, prediction of energy consumption plays a very important role. This proposed prediction model Coherent Weighted K-Means Clustering ARIMA (CWKMCA) enhances the weighted k-means clustering technique by adding weights to the cluster points. Forecasting is done using the ARIMA model based on the centroid of the clusters produced. The dataset for this proposed work is taken from the Pecan Project in Texas, USA. The level of accuracy of this model is compared with the traditional ARIMA model and the Weighted K-Means Clustering ARIMA Model. When predicting,errors such as RMSE, MAPE, AIC and AICC are analysed, the results of this suggested work reveal lower values than the ARIMA and Weighted K-Means Clustering ARIMA models. This model also has a greater loglikelihood, demonstrating that this model outperforms the ARIMA model for time series forecasting.

A Korean Seasonal Adjustment Program BOK-X-12-ARIMA (한국형 계절변동조정 프로그램 BOK-X-12-ARIMA)

  • 이긍희
    • The Korean Journal of Applied Statistics
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    • v.13 no.2
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    • pp.225-236
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    • 2000
  • To compile seasonally-adjusted statistics for Korean economic statistics accurately. it is necessary to develop a Korean seasonal adjustment program. In this paper. the Korean seasonal adjustment program BOK-X-12-ARIMA, developed through modification of the US. Bureau of the Census's X-12-ARIT\IA, is explained in detail.

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Comparison of the BOD Forecasting Ability of the ARIMA model and the Artificial Neural Network Model (ARIMA 모형과 인공신경망모형의 BOD예측력 비교)

  • 정효준;이홍근
    • Journal of Environmental Health Sciences
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    • v.28 no.3
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    • pp.19-25
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    • 2002
  • In this paper, the water quality forecast was performed on the BOD of the Chungju Dam using the ARIMA model, which is a nonlinear statistics model, and the artificial neural network model. The monthly data of water quality were collected from 1991 to 2000. The most appropriate ARIMA model for Chungju dam was found to be the multiplicative seasonal ARIMA(1,0,1)(1,0,1)$_{12}$, model. While the artificial neural network model, which is used relatively often in recent days, forecasts new data by the strength of a learned matrix like human neurons. The BOD values were forecasted using the back-propagation algorithm of multi-layer perceptrons in this paper. Artificial neural network model was com- posed of two hidden layers and the node number of each hidden layer was designed fifteen. It was demonstrated that the ARIMA model was more appropriate in terms of changes around the overall average, but the artificial neural net-work model was more appropriate in terms of reflecting the minimum and the maximum values.s.

Modified ARIMA-based Distance Learning Learner Preprocessing Study (수정된 ARIMA 기반 원격교육 학습자 전처리 연구)

  • Min, Youn A;Baek, YeongTae
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2022.07a
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    • pp.535-536
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    • 2022
  • 본 논문 원격교육환경에서 학습자가 남긴 개별 데이터에 대한 장기적 관리 및 효율적 학습자 관리를 위한 데이터 전처리 방법으로 전통적인 ARIMA를 수정하여 연구하였다. ARIMA는 과거시점 데이터에 대한 회귀식과 변화율을 현 시점 데이터에 반영하는 방식이며 본 연구에서는 ARIMA 처리과정에서 딥러닝 알고리즘인 RNN의 변형방법인 LSTM을 적용하여 부분 데이터셋의 전처리과정에 대한 정확성과 재현율을 높이도록 하였다. 본 연구의 결과 전통적인 ARIMA 적용시와 대비하여 7~9%의 성능향상을 확인하였다.

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CONVERGENCE AND POWER SPECTRUM DENSITY OF ARIMA MODEL AND BINARY SIGNAL

  • Kim, Joo-Mok
    • Korean Journal of Mathematics
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    • v.17 no.4
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    • pp.399-409
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    • 2009
  • We study the weak convergence of various models to Fractional Brownian motion. First, we consider arima process and ON/OFF source model which allows for long packet trains and long inter-train distances. Finally, we figure out power spectrum density as a Fourier transform of autocorrelation function of arima model and binary signal model.

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