• Title/Summary/Keyword: box-jenkins

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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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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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Using Different Method for petroleum Consumption Forecasting, Case Study: Tehran

  • Varahrami, Vida
    • East Asian Journal of Business Economics (EAJBE)
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    • v.1 no.1
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    • pp.17-21
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    • 2013
  • Purpose: Forecasting of petroleum consumption is useful in planning and management of petroleum production and control of air pollution. Research Design, Data and Methodology: ARMA models, sometimes called Box-Jenkins models after the iterative Box-Jenkins methodology usually used to estimate them, are typically applied to auto correlated time series data. Results: Petroleum consumption modeling plays a role key in big urban air pollution planning and management. In this study three models as, MLFF, MLFF with GARCH (1,1) and ARMA(1,1), have been investigated to model the petroleum consumption forecasts. Certain standard statistical parameters were used to evaluate the performance of the models developed in this study. Based upon the results obtained in this study and the consequent comparative analysis, it has been found that the MLFF with GARCH (1,1) have better forecasting results.. Conclusions: Survey of data reveals that deposit of government policies in recent yeas, petroleum consumption rises in Tehran and unfortunately more petroleum use causes to air pollution and bad environmental problems.

Signal processing(III)-Modelling of systems, ARMA process wiener filtering and kalman-bucy algorithm (신호처리(III)-Systen의 modelling, ARMA process wiener의 filtering과 kalman-bucy algorithm)

  • 안수길
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.17 no.3
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    • pp.1-11
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    • 1980
  • For an ordinary engineer or researcher there are too diversified branches or even disciplines which have their own jargon to complicate an easy access, Nevertheless in many cases an isomorphism or even identity of notions exist to escape our grasp when expressed in different discipline or context, In this paper the masterwork of Box and Jenkins is introduced to accustom a few terms of statisticiens, to be followed by the technique of smoothing filtering of Wiener and Kalman - Bucy. The advantages of a transform (for example Hadamard) technique are explaned as well as authors personal philosophical views.

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Modeling and Performance Analysis of Non-linear System Using Type-2 Fuzzy Logic Systems (Type-2 Fuzzy Logic System을 이용한 비선형 시스템의 모델링 및 성능 분석)

  • 안성배;김동원;박귀태
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09b
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    • pp.76-79
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    • 2003
  • 퍼지 로직 시스템(FLS)은 다양한 분야에서 성공적으로 사용되고 있다 퍼지 로직 시스템의 멤버십 함수와 규칙은 언어적인 정보나 수치적 데이터를 사용하여 표현된다. 또한 이러한 정보나 데이터에는 불확실성과 노이즈 등이 존재한다. 그러나 단순한 퍼지 로직 시스템으로노이즈가 포함된 불확실한 정보를 효과적으로 다루고 표현하는 데는 한계가 있다. 그러므로 노이즈가 포함된 정보를 효율적으로 처리하기 위해 본 논문에서는 type-2 FLS를 이용한다. 노이즈가 포함되어 불확실한 정도를 정확한 값으로 표현하기 어려울 때, type-2 FLS은 보다 정확하게 정보들을 다를 수 있음을 보인다. 비선형 시계열 시스템인 Box-Jenkins 데이터를 이용하여 singleton Type-1 FLS과 non-singleton type-1 FLS의 결과 값을 확인하고 이의 성능을 type-2 FLS과 비교, 분석한다.

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Sensitivity Analysis of Control Charts with Autocorrelated Data (자기상관자료를 갖는 관리도의 민감도 분석)

  • 조영찬;송서일
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.51
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    • pp.1-10
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    • 1999
  • In recent industry society, it is revealed that, as an increase in the use of automated manufacturing and process inspection technology, the data from mass production system exhibits some degrees of autocorrelation. The operation characteristics of traditional control charts developed under the independence assumption are adversely affected by the presence of serial correlation. Therefore, when autocorrelated construction contacted with time-series models explain, the time-series models are the Box-Jenkins forecast models which have been proposed as the best forecasting tool which allows for partitioning of variation into result from the autocorrelation structure and variation due to unusual but assignable causes. In this paper, for the AR(1) process of Box-Jenkins forecast models, when the constant term ξ are zero and different from zero, I want to analyze the sensitivity of (equation omitted), CUSUM and EWMA control chart for forecast residuals.

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A Study on the Kalman Filter ; AR Model (자기회귀 모형에 대한 Kalman Filter 적용에 관한 연구)

  • 신용백;윤상원;윤석환;변화성
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.16 no.28
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    • pp.31-37
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    • 1993
  • Box-Jenkins models have some important limitations to the procedure : (a) They require a great deal of time, efforts and expertise for the model identification. (b) They require an extensive amount of past observations to identify an acceptable model. (c) The model selected is a constant model in time. Therefore, the Kalman Filter is recommended as a technique to overcome the three problems mentioned above. The research reported here uses the Kalman Filter algorithm to propose Kalman-AR(p) model. The data analysis shows that the Kalman-AR(p) model proposed can be used to resolve the problems of Box-Jenkins AR(p)model. It is seen that the Kalman Filter has great potentials for real-time industrial applications.

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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 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.

Air pollution study using factor analysis and univariate Box-Jenkins modeling for the northwest of Tehran

  • Asadollahfardi, Gholamreza;Zamanian, Mehran;Mirmohammadi, Mohsen;Asadi, Mohsen;Tameh, Fatemeh Izadi
    • Advances in environmental research
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    • v.4 no.4
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    • pp.233-246
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    • 2015
  • High amounts of air pollution in crowded urban areas are always considered as one of the major environmental challenges especially in developing countries. Despite the errors in air pollution prediction, the forecasting of future data helps air quality management make decisions promptly and properly. We studied the air quality of the Aqdasiyeh location in Tehran using factor analysis and the Box-Jenkins time series methods. The Air Quality Control Company (AQCC) of the Municipality of Tehran monitors seven daily air quality parameters, including carbon monoxide (CO), Nitrogen Monoxide (NO), Nitrogen dioxide ($NO_2$), $NO_x$, ozone ($O_3$), particulate matter ($PM_{10}$) and sulfur dioxide ($SO_2$). We applied the AQCC data for our study. According to the results of the factor analysis, the air quality parameters were divided into two factors. The first factor included CO, $NO_2$, NO, $NO_x$, and $O_3$, and the second was $SO_2$ and $PM_{10}$. Subsequently, the Box- Jenkins time series was applied to the two mentioned factors. The results of the statistical testing and comparison of the factor data with the predicted data indicated Auto Regressive Integrated Moving Average (0, 0, 1) was appropriate for the first factor, and ARIMA (1, 0, 1) was proper for the second one. The coefficient of determination between the factor data and the predicted data for both models were 0.98 and 0.983 which may indicate the accuracy of the models. The application of these methods could be beneficial for the reduction of developing numbers of mathematical modeling.