• Title/Summary/Keyword: ARIMA(0,1,1)

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Forecasting the Container Throughput of the Busan Port using a Seasonal Multiplicative ARIMA Model (승법계절 ARIMA 모형에 의한 부산항 컨테이너 물동량 추정과 예측)

  • Yi, Ghae-Deug
    • Journal of Korea Port Economic Association
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    • v.29 no.3
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    • pp.1-23
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    • 2013
  • This paper estimates and forecasts the container throughput of Busan port using the monthly data for years 1992-2011. To do this, this paper uses the several seasonal multiplicative ARIMA models. Among several ARIMA models, the seasonal multiplicative ARIMA model $(1,0,1){\times}(1,0,1)_{12}$ is selected as the best model by AIC, SC and Hannan-Quin information criteria. According to the forecasting values of the selected seasonal multiplicative ARIMA model $(1,0,1){\times}(1,0,1)_{12}$, the container throughput of Busan port for 2013-2020 will increase steadily annually, but there will be some volatile variations monthly due to the seasonality and other factors. Thus, to forecast the future container throughput of Busan port and to develop the Busan port efficiently, we need to use and analyze the seasonal multiplicative ARIMA model $(1,0,1){\times}(1,0,1)_{12}$.

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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Forecasting the Seaborne Trade Volume using Intervention Multiplicative Seasonal ARIMA and Artificial Neural Network Model (개입 승법계절 ARIMA와 인공신경망모형을 이용한 해상운송 물동량의 예측)

  • Kim, Chang-Beom
    • Journal of Korea Port Economic Association
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    • v.31 no.1
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    • pp.69-84
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    • 2015
  • The purpose of this study is to forecast the seaborne trade volume during January 1994 to December 2014 using the multiplicative seasonal autoregressive integrated moving average (ARIMA) along with intervention factors and an artificial neural network (ANN) model. Diagnostic checks of the ARIMA model were conducted using the Ljung-Box Q and Jarque-Bera statistics. All types of ARIMA process satisfied the basic assumption of residuals. The ARIMA(2,1,0) $(1,0,1)_{12}$ model showed the lowest forecast error. In addition, the prediction error of the artificial neural network indicated a level of 5.9% on hidden layer 5, which suggests a relatively accurate forecasts. Furthermore, the ex-ante predicted values based on the ARIMA model and ANN model are presented. The result shows that the seaborne trade volume increases very slowly.

A Study on Forecasting Visit Demands of Korea National Park Using Seasonal ARIMA Model (계절 ARIMA 모형을 이용한 국립공원 탐방수요 예측)

  • Sim, Kyu-Won;Kwon, Heon-Gyo
    • Journal of Korean Society of Forest Science
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    • v.100 no.1
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    • pp.124-130
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    • 2011
  • This study was conducted to find out appropriate model and forecast visit demand of korea national parks using seasonal ARIMA model. Data of monthly visitors uses of 18 korea national parks from January, 2003 to December, 2010 was used to analyze. The result showed that $ARIMA(1,0,0)(1,1,0)_{12}$ model was selected as a appropriate model to forecast visit demand of korea national parks and the result of post evaluation used by index of mean absolute percentage error was accurate. Therefore, the result of this study will enhance reliability and validity of forecasting technique and contribute to management strategy of korea national park.

Estimating the Growth Rate of Inbound Air Travelers to Jeju with ARIMA Time-Series - Using Golf Course Visitor Data - (ARIMA 시계열 모형을 이용한 제주도 인바운드 항공여객 증가율 예측 연구 - 제주지역 골프장 내장객 현황 데이터를 활용하여 -)

  • Gun-Hee Sohn;Kee-Woong Kim;Ri-Hyun Shin;Su-Mi Lee
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.31 no.1
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    • pp.92-98
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    • 2023
  • This paper used the golf course visitors' data in Jeju region to forecast the growth of inbound air traveler to Jeju. This is because the golf course visitors were proven to bring the highest economic and production inducement effect to the Jeju region. Based on such a data, this paper forecast the short-term growth rate of inbound air traveler using ARIMA to the Jeju until December 2025. According to ARIMA (0,1,0) (0,1,1) model, it was analyzed that the monthly number of golf course visitors to Jeju has been increasing steadily even since COVID-19 pandemic and the number is expected to grow until the end of 2025. Applying the same parameters of ARIMA (0,1,0) (0,1,1) to inbound air travel data, it was found the growth rate of inbound air travelers would be higher than the growth rate of 2019 shortly without moderate variation even though the monthly number of inbound travelers to Jeju had been dropped during COVID-19 pandemic.

Analysis and Prediction of Anchovy Fisheries in Korea ARIMA Model and Spectrum Analysis (한국 멸치어업의 어획량 분석과 예측 ARIMA 모델 및 스펙트럼 해석)

  • PARK Hae-Hoon;YOON Gab-Dong
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.29 no.2
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    • pp.143-149
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    • 1996
  • Forecasts of the monthly catches of anchovy in Korea were carried out by the seasonal Autoregressive Integrated Moving Average (ARIMA) model and spectral analysis. The seasonal ARIMA model is as follows: $$(1-0.431B)(1-B^{12})Z_t=(1-0.882B^{12})e_t$$ where: $Z_t=value$ at month $t;\;B^{p}$ is a backward shift operator, that is, $B^pZ_t=Z_{t-p};$ and $e_t=error$ term at month t, which is to forecast 24 months ahead the anchovy catches in Korea. The prediction error by the Box-Cox transformation on monthly anchovy catches in Korea was less than that by the logarithmic transformation. The equation of the Box-Cox transformation was $Y'=(Y^{0.58}-1)/0.58$. Forecasts of the monthly anchovy catches for $1991\~1992$, which were compared with the actual catches, had an absolute percentage error (APE) range of $1.0\~63.2\%$. Total observed annual catches in 1991 and 1992 were 170,293 M/T and 168,234 M/T respectively, while the predicted catches were 148,201 M/T and 148,834 M/T $(API\;13.0\%\;and\;11.5\%,\;respectively)$. The spectrum analysis of the monthly catches of anchovy showed some dominant fluctuations in the periods of 2.2, 6.1, 10.2 12.0 and 14.7 months. The spectrum analysis was also useful for selecting the ARIMA model.

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A Markov Chain Representation of Statistical Process Monitoring Procedure under an ARIMA(0,1,1) Model (ARIMA(0,1,1)모형에서 통계적 공정탐색절차의 MARKOV연쇄 표현)

  • 박창순
    • The Korean Journal of Applied Statistics
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    • v.16 no.1
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    • pp.71-85
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    • 2003
  • In the economic design of the process control procedure, where quality is measured at certain time intervals, its properties are difficult to derive due to the discreteness of the measurement intervals. In this paper a Markov chain representation of the process monitoring procedure is developed and used to derive its properties when the process follows an ARIMA(0,1,1) model, which is designed to describe the effect of the noise and the special cause in the process cycle. The properties of the Markov chain depend on the transition matrix, which is determined by the control procedure and the process distribution. The derived representation of the Markov chain can be adapted to most different types of control procedures and different kinds of process distributions by obtaining the corresponding transition matrix.

A Study on the Demand Forecasting and Efficient Operation of Jeju National Airport using seasonal ARIMA model (계절 ARIMA 모형을 이용한 제주공항 여객 수요예측 및 효율적 운영에 관한 연구)

  • Kim, Kyung-Bum;Hwang, Kyung-Soo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.8
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    • pp.3381-3388
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    • 2012
  • This research is to find out the method appropriate for the forecasting of passennger demand using seasonal ARIMA model and efficient operation in Jeju National Airport. Time series monthly data for the investigation were collected ranging from January 2003 to December 2011. A total of 108 observations were used for data analysis. Research findings showed that the multiplicative seasonal ARIMA(0.1.2)(0.1.1)12 model is appropriate model. The number of passengers in Jeju National Airport will continue to rise, it was expected to surpass 20 million people.

A Study on the Demand Forecasting of Healthcare Technology from a Consumer Perspective : Using Social Data and ARIMA Model Approach (소셜데이터 및 ARIMA 분석을 활용한 소비자 관점의 헬스케어 기술수요 예측 연구)

  • Yang, Dong Won;Lee, Zoon Ky
    • Journal of Information Technology Services
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    • v.19 no.4
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    • pp.49-61
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    • 2020
  • Prior studies on technology predictions attempted to predict the emergence and spread of emerging technologies through the analysis of correlations and changes between data using objective data such as patents and research papers. Most of the previous studies predicted future technologies only from the viewpoint of technology development. Therefore, this study intends to conduct technical forecasting from the perspective of the consumer by using keyword search frequency of search portals such as NAVER before and after the introduction of emerging technologies. In this study, we analyzed healthcare technologies into three types : measurement technology, platform technology, and remote service technology. And for the keyword analysis on the healthcare, we converted the classification of technology perspective into the keyword classification of consumer perspective. (Blood pressure and blood sugar, healthcare diagnosis, appointment and prescription, and remote diagnosis and prescription) Naver Trend is used to analyze keyword trends from a consumer perspective. We also used the ARIMA model as a technology prediction model. Analyzing the search frequency (Naver trend) over 44 months, the final ARIMA models that can predict three types of healthcare technology keyword trends were estimated as "ARIMA (1,2,1) (1,0,0)", "ARIMA (0,1,0) (1,0,0)", "ARIMA (1,1,0) (0,0,0)". In addition, it was confirmed that the values predicted by the time series prediction model and the actual values for 44 months were moving in almost similar patterns in all intervals. Therefore, we can confirm that this time series prediction model for healthcare technology is very suitable.