• Title/Summary/Keyword: Box-Jenkins time series model

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Impact of District Medical Insurance Plan on Number of Hospital Patients: Using Box-Jenkins Time Series Analysis (Box-Jenkins 시계열 분석을 이용한 지역의료보험 실시가 병원 환자 수에 미친 영향)

  • Kim, Yong-Jun;Chun, Ki-Hong
    • Journal of Preventive Medicine and Public Health
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    • v.22 no.2 s.26
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    • pp.189-196
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    • 1989
  • In January 1988, district medical insurance plan was executed on a national scale in Korea. We conducted an evaluation of the impact of execution of district medical insurance plan on number of hospital patients: number of outpatients; and occupancy rate. This study was carried out by Box-Jenkins time series analysis. We tested the statistical significance with intervention component added to ARIMA model. Results of our time series analysis showed that district medical insurance plan had a significant effect on the number of outpatients and occupancy rate. Due to this plan the number of outpatients had increased by 925 patients every month which is equivalent to 8.3 percents of average monthly insurance outpatients in 1987, and occupancy rate had also increased by 0.12 which is equivalent to 16 percents of that in 1987.

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A New Algorithm for Automated Modeling of Seasonal Time Series Using Box-Jenkins Techniques

  • Song, Qiang;Esogbue, Augustine O.
    • Industrial Engineering and Management Systems
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    • v.7 no.1
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    • pp.9-22
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    • 2008
  • As an extension of a previous work by the authors (Song and Esogbue, 2006), a new algorithm for automated modeling of nonstationary seasonal time series is presented in this paper. Issues relative to the methodology for building automatically seasonal time series models and periodic time series models are addressed. This is achieved by inspecting the trend, estimating the seasonality, determining the orders of the model, and estimating the parameters. As in our previous work, the major instruments used in the model identification process are correlograms of the modeling errors while the least square method is used for parameter estimation. We provide numerical illustrations of the performance of the new algorithms with respect to building both seasonal time series and periodic time series models. Additionally, we consider forecasting and exercise the models on some sample time series problems found in the literature as well as real life problems drawn from the retail industry. In each instance, the models are built automatically avoiding the necessity of any human intervention.

Prediction of Water Quality in Miho River Watershed using Water Quality Models (모형을 이용한 미호천 유역의 하천수질 예측)

  • Jeong, Sang-Man;Park, Jeong-Kyoo;Park, Young-Kee;Kim, Lee-Hyung
    • Journal of Korean Society on Water Environment
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    • v.20 no.3
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    • pp.223-230
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    • 2004
  • The QUAL2E and Box-Jenkins time series model were applied to the Miho river, a main tributary of the Geum river, to predict water quality. The models are widely used to predict water quality in rivers and watersheds because of its accuracy. As results of the study, we concluded as follows: Pollutant loadings in upper stream of Miho river were determined to 57,811 kgBOD/d, 19,350 kgTN/d, and 5,013 kgTP/d. The loading of TN in Mushim river was 19,450 kgTN/d, respectively. As the mass loadings were compared with pollutant sources, it concluded that the farming livestock contributed highly to mass emissions of BOD and TP and the population contributed to TN mass loading. The observed water quality values were applied to the models to verify and the models were used to predict the water quality. The QUAL2E Model predicted the concentrations of DO, BOD, TN and TP with high accuracy, but not for E-Coli. The Box-Jenkins time series model also showed high prediction for DO, BOD and TN. However, the concentrations of TP and E-Coli were poorly predicted. The result shows that the QUAL2E model is more applicable in Miho basin for prediction of water quality compared to Box-Jenkins time series model.

COMPARATIVE ANALYSIS ON TIME SERIES MODELS FOR THE NUMBER OF REPORTED DEATH CLAIMS IN KOREAN COMPULSORY AUTOMOBILE INSURANCE

  • Lee, Kang-Sup;Kim, Young-Ja
    • The Pure and Applied Mathematics
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    • v.11 no.4
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    • pp.275-285
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    • 2004
  • In this paper, the time series models for the number of reported death claims of compulsory automobile liability insurance in Korea are studied. We found that IMA${(0, 1, 1)}\;{\times}\;{(0, 1, 1)}_{12}$ would the most appropriate model for the number of reported claims by the Box-Jenkins method.

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Prediction of Oak Mushroom Prices Using Box-Jenkins Methodology (Box-Jenkins 모형을 이용한 표고버섯 가격예측)

  • Min, Kyung-Taek
    • Journal of Korean Society of Forest Science
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    • v.95 no.6
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    • pp.778-783
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    • 2006
  • Price prediction is essential to decisions of investment and shipment in oak mushroom cultivation. But predicting the prices of oak mushroom is very difficult because there are so many uncertain factors affecting the demand and the supply in the market. The Box-Jenkins methodology is one of strong tools in price prediction especially for the short-term using historical observations of time series. In this paper, the Box-Jenkins methodology is applied to find a model to forecast future oak mushroom prices. And out-of-sample test was conducted to check out the prediction accuracy. The result shows the high accuracy except for market disturbance period affected by unexpected weather change and reveals the usefulness of the model.

Modeling of Normal Gait Acceleration Signal Using a Time Series Analysis Method (시계열 분석을 이용한 정상인의 보행 가속도 신호의 모델링)

  • Lim Ye-Taek;Lee Kyoung-Joung;Ha Eunho;Kim Han-Sung
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.7
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    • pp.462-467
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    • 2005
  • In this paper, we analyzed normal gait acceleration signal by time series analysis methods. Accelerations were measured during walking using a biaxial accelerometer. Acceleration data were acquired from normal subjects(23 men and one woman) walking on a level corridor of 20m in length with three different walking speeds. Acceleration signals were measured at a sampling frequency of 60Hz from a biaxial accelerometer mounted between L3 and L4 intervertebral area. Each step signal was analyzed using Box-Jenkins method. Most of the differenced normal step signals were modeled to AR(3) and the model didn't show difference for model's orders and coefficients with walking speed. But, tile model showed difference with acceleration signal direction - vertical and lateral. The above results suggested the proposed model could be applied to unit analysis.

A Comparative Analysis of Forecasting Models and its Application (수요예측 모형의 비교분석과 적용)

  • 강영식
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.44
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    • pp.243-255
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    • 1997
  • Forecasting the future values of an observed time series is an important problem in many areas, including economics, traffic engineering, production planning, sales forecasting, and stock control. The purpose of this paper is aimed to discover the more efficient forecasting model through the parameter estimation and residual analysis among the quantitative method such as Winters' exponential smoothing model, Box-Jenkins' model, and Kalman filtering model. The mean of the time series is assumed to be a linear combination of known functions. For a parameter estimation and residual analysis, Winters', Box-Jenkins' model use Statgrap and Timeslab software, and Kalman filtering utilizes Fortran language. Therefore, this paper can be used in real fields to obtain the most effective forecasting model.

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Estimation of the Number of Korean Cattle Using ARIMA Model (ARIMA 모형을 이용한 한육우 사육두수 추정)

  • Jeon, Sang-Gon;Park, Han-Ul
    • Journal of agriculture & life science
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    • v.45 no.5
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    • pp.115-126
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    • 2011
  • This paper estimates the number of Korean cattle using time-series ARIMA model. This study classifies the structure of the number of cattle into six indexes to reflect the characteristics of cattle. This study apply ARIMA model to these six indexes according to Box-Jenkins procedure to identify, estimate and predict. The rates of slaughter for aged female and aged male cow is analyzed as non-stationary time series which has unit roots and other 4 indexes is analyzed as stationary time series. The differencing is applied to get rid of non-stationarity for the non-stationary time series. The results show that the number of cattle will be reduced from 2012 as a higher point and rebounded from 2018 as a lower point.

Stochastic Modelling of Monthly flows for Somjin river (섬진강 월유출량의 추계학적 모형)

  • 이종남;이홍근
    • Water for future
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    • v.17 no.4
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    • pp.281-291
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    • 1984
  • In our Koreans river basins there are many of monthly rainfall data, but unfortrnately streamflow data needed are rare. Analysing monthly rainfall data of Somjin river basin, the stochastic theory model for calculation of monthly streamflow series of that region is determined. The model is composed of Box & Jenkins stansfer function plus ARIMA residual models. This linear stochastic differenced time series equation models can adapt themselves to the structure and variety of rainfall, streamflow data on the assumption of the stationary covarience. The fiexibility of Box-Jenkins method consists mainly in the iterative technique of building an AIRMA model from observations and by the use of autocorrelation functions. The best models for Somjin river basin belong to the general calss: $Y_t=($\omega$o-$\omega$_1B) C_iX_t+$\varepsilon$t$ $Y_t$ monthly streamflow, $X_t$ : monthly rainfall, $C_i$ :monthly run-off, $$\omega$o-$\omega$_1$ : transfer parameter, $$\varepsilon$_t$ : residual The streamflow series resulted from the proposed model is satisfactory comparing with the exsting streamflow data of Somjin gauging station site.

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Fuzzy Logic-based Modeling of a Score (퍼지 이론을 이용한 악보의 모델링)

  • 손세호;권순학
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.3
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    • pp.264-269
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    • 2001
  • In this paper, we interpret a score as a time series and deal with the fuzzy logic-based modeling of it. The musical notes in a score represent a lot of information about the length of a sound and pitches, etc. In this paper, using melodies, tones and pitches in a score, we transform data on a score into a time series. Once more, we foml the new Lime series by sliding a window through the time series. For analyzing the time series data, we make use of the Box-Jenkins s time series analysis. On the basis of the identified characteristics of time series, we construct the fuzzy model.

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