• Title/Summary/Keyword: Box and Jenkins

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Box-Jenkins 예측기법 소개

  • 박성주;전태준
    • Korean Management Science Review
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    • v.1
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    • pp.68-80
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    • 1984
  • Box-Jenkins 시계열 분석법은 변수에 관한 정보가 부족하거나 너무 많은 변수가 영향을 미치고 있는 경우에도 과학적인 예측치를 구할 수 있는 단기예측 방법이다. Box-Jenkins 모형은 자동회귀 모형(Autoregressive Model), 이동평균 모형 (Moving average Model), 계절적 시계열 모형을 통합한 일반적인 모형이기 때문에 특별한 불안정성을 보이지 않는 경우에는 모두 모형화 할 수 있으며, 모형에 관계된 계수의 수를 최소화 하면서 만족스러운 모형을 찾을 수 있다. Box-Jenkins예측방법은 모형선정, 매개변수추정, 적합성 검정의 3단계를 반복으로 수행함으로써 최적모형에 이르게 하게 하고 있기 때문에 최소의 가능한 모형으로부터 시작하여 부적당한 부분을 제거시켜 나감으로써 시행착오의 과정을 최소화 할 수 있다. 일반 사용자가 Box-Jenkins 시계열 분석법을 쉽게 사용할 수 있도록 Box-Jenkins Package가 개발되었으며 여기서는 KAIST 전산 개발 센터에 설치된 Package를 소개하고 그 사용예를 보였다.

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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.

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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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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A Study on The Subscriber Traffic Forecasting Mechanism Based on The Box-Jenkins Time Series Method (가입자 트래픽 예측방법 연구)

  • 임성식;신홍식
    • Proceedings of the Korean Institute of Communication Sciences Conference
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    • 1991.10a
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    • pp.167-173
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    • 1991
  • 현재까지 가입자 트래픽 예측방법은 계량학적 방법중 추세분석 방법을 이용하고 있는데, 이 방법은 급변하는 시장상황이나 지역여건을 고려하지 못하고 하나의 통계적 기술에 의한 획일화된 예측방법으로서 트래픽예측치가 실제 운용트래픽값과는 다소 차이가 있어왔다. 이러한 원인을 제거할 수 있는 하나의 방법으로서 Box-Jenkins 시계열 분석에 의한 트래픽 예측방법을 제안하고자 한다. 이 방법에 대한 이론을 살펴보고, 시뮬레이션을 통하여 얻은 결과를 각각 분석하여 문제점을 파악하고 실측치와 비교분석함으로서 본 논문에서 제안한 방법이 기존방법보다 타당함을 입증하려 하였다.

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.

Forecasting Korean housing price index: application of the independent component analysis (부동산 매매지수와 전세지수 예측: 독립성분분석을 활용한 분석)

  • Pak, Ro Jin
    • The Korean Journal of Applied Statistics
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    • v.30 no.2
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    • pp.271-280
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    • 2017
  • Real-estate values and related economics are often the first read newspaper category. We are concerned about the opinions of experts on the forecast for real estate prices. The Box-Jenkins ARIMA model is a commonly used statistical method to predict housing prices. In this article, we tried to predict housing prices by combining independent component analysis (ICA) in multivariate data analysis and the Box-Jenkins ARIMA model. The two independent components for both the selling price index and the long-term rental price index were extracted and used to predict the future values of both indices. In conclusion, it has been shown that the actual indices and the forecast indices using ICA are more comparable to the forecasts of the ARIMA model alone.

시계열 모형의 적합도 검정에 관한 시뮬레이션 연구

  • 이성덕;차경엽
    • Communications for Statistical Applications and Methods
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    • v.1 no.1
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    • pp.131-140
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    • 1994
  • Box-Jenkins 시계열 분석에서 모형검진을 위한 통계량으로 잔차의 자기상관함수를 이용한 Box와 Pierce(1970)의 포트맨토우 검정과 Ljung과 Box(1978)의 변형된 포트맨토우 검정을 Basawa(1987)가 제안한 예측오차를 이용한 모형 검진 방법과 비교, 분석하였다. 시뮬레이션 연구를 수행하여 경험적 평균, 분산 및 유의 수준을 비교하여 과대적합의 방법을 이용하여 검정력을 비교하였다.

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An Approach for the Automatic Box-Jenkins Modelling

  • Park, Sung-Joo;Hong, Chang-Soo;Jeon, Tae-Joon
    • Journal of Korean Institute of Industrial Engineers
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    • v.10 no.1
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    • pp.17-25
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    • 1984
  • The use of Box-Jenkins technique is still very limited due to the high level of knowledge required in comprehending the technique and the cumbersome iterative procedure which requires a large amount of cost and time. This paper proposes a method of automating the univariate Box-Jekins modelling to overcome the limitations of subjective identification in iterative procedure by using Variate Difference method, D-statistic and Pattern Recognition algorithm combined with Akaike's Information Criterion. The results of the application to real data show that the average performance of automatic modelling procedure is better or not worse, at least, than those of the existing models which have been manually set up and reported in the literature.

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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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