• Title/Summary/Keyword: Seasonal time series

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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.

Fuzzy Semiparametric Support Vector Regression for Seasonal Time Series Analysis

  • Shim, Joo-Yong;Hwang, Chang-Ha;Hong, Dug-Hun
    • Communications for Statistical Applications and Methods
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    • v.16 no.2
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    • pp.335-348
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    • 2009
  • Fuzzy regression is used as a complement or an alternative to represent the relation between variables among the forecasting models especially when the data is insufficient to evaluate the relation. Such phenomenon often occurs in seasonal time series data which require large amount of data to describe the underlying pattern. Semiparametric model is useful tool in the case where domain knowledge exists about the function to be estimated or emphasis is put onto understandability of the model. In this paper we propose fuzzy semiparametric support vector regression so that it can provide good performance on forecasting of the seasonal time series by incorporating into fuzzy support vector regression the basis functions which indicate the seasonal variation of time series. In order to indicate the performance of this method, we present two examples of predicting the seasonal time series. Experimental results show that the proposed method is very attractive for the seasonal time series in fuzzy environments.

Extension of the VSACF for Modelling Seasonal Time Series (계절적 시계열 모형화를 위한 VSACF 의 확장)

  • 전태준
    • Journal of the Korean Operations Research and Management Science Society
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    • v.16 no.1
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    • pp.68-75
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    • 1991
  • The purpose of this thesis is to develop the new technique for the analysis of seasonal time series by extending the vector sample auto-correlation function(VSACF), which was developed for ARMA modelling procedure. After the problems of VSACF for modelling seasonal time series are investigated, the adjacent variance is defined and used for decomposing the seasonal factor from the seasonal time series. The seasonal indices are calculated and the VSACF is applied to the transformed series. The automatic procedure for modelling seasonal time series is suggested and applied to the real data, the international airline passenger travel.

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Comparison of Forecasting Performance in Multivariate Nonstationary Seasonal Time Series Models (다변량 비정상 계절형 시계열모형의 예측력 비교)

  • Seong, Byeong-Chan
    • Communications for Statistical Applications and Methods
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    • v.18 no.1
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    • pp.13-21
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    • 2011
  • This paper studies the analysis of multivariate nonstationary time series with seasonality. Three types of multivariate time series models are considered: seasonal cointegration model, nonseasonal cointegration model with seasonal dummies, and vector autoregressive model in seasonal differences that are compared for forecasting performances using Korean macro-economic time series data. The cointegration models produce smaller forecast errors in short horizons; however, when longer forecasting periods are considered the vector autoregressive model appears preferable.

Seasonal adjustment for monthly time series based on daily time series (일별 시계열을 이용한 월별 시계열의 계절조정)

  • Geung-Hee Lee
    • The Korean Journal of Applied Statistics
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    • v.36 no.5
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    • pp.457-471
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    • 2023
  • The monthly series is an aggregation of daily values. In the absence of observable daily data, calendar effects such as trading day and holidays are estimated using a RegARIMA model. However, if the daily series were observable, these calendar effects could be estimated directly from the daily series, potentially improving the seasonal adjustment of the monthly time series. In this paper, we propose a method to improve the seasonal adjustment of monthly time series by using calendar variation estimation based on daily time series. We apply this seasonal adjustment method to three monthly time series and compare our results with those obtained using X-13ARIMA-SEATS.

A Study on the Seasonal Adjustment of Time Series and Demand Forecasting for Electronic Product Sales (전자제품 판매매출액 시계열의 계절 조정과 수요예측에 관한 연구)

  • Seo, Myeong-Yul;Rhee, Jong-Tae
    • Journal of Applied Reliability
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    • v.3 no.1
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    • pp.13-40
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    • 2003
  • The seasonal adjustment is an essential process in analyzing the time series of economy and business. One of the powerful adjustment methods is X11-ARIMA Model which is popularly used in Korea. This method was delivered from Canada. However, this model has been developed to be appropriate for Canadian and American environment. Therefore, we need to review whether the X11-ARIMA Model could be used properly in Korea. In this study, we have applied the method to the annual sales of refrigerator sales in A electronic company. We appreciated the adjustment by result analyzing the time series components such as seasonal component, trend-cycle component, and irregular component, with the proposed method. Additionally, in order to improve the result of seasonal adjusted time series, we suggest the demand forecasting method base on autocorrelation and seasonality with the X11-ARIMA PROC.

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A Study on the Seasonal Adjustment of Time Series for Seasonal New Product Sales (계절상품 판매매출액 시계열의 계절 조정에 관한 연구)

  • 서명율;이종태
    • Korean Management Science Review
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    • v.20 no.1
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    • pp.103-124
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    • 2003
  • The seasonal adjustment is an essential process in analyzing the time series of economy and business. There are various methods to adjust seasonal effect such as moving average, extrapolation, smoothing and X11. One of the powerful adjustment methods is X11-ARIMA Model which is popularly used in Korea. This method was delivered from Canada. However, this model has been developed to be appropriate for Canadian and American environment. Therefore, we need to review whether the Xl1-ARIMA Model could be used properly in Korea. In this study, we have applied the method to the annual sales of refrigerator sales in A electronic company. We appreciated the adjustment by result analyzing the time series components such as seasonal component, trend-cycle component, and irregular component, with the proposed method.

Calculation of Seasonal Demand Side Management Quantity Using Time Series (시계열 모델을 이용한 계절별 수요관리량 산정)

  • Lee, Jong-Uk;Wi, Young-Min;Lee, Jae-Hee;Joo, Sung-Kwan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.12
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    • pp.2202-2205
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    • 2011
  • Demand side management is used to maintain the reliability of power systems and to increase the economic benefits by avoiding power plant construction. This paper presents a systematic method to calculate the quantity of seasonal demand side management using time series. A numerical example is presented to calculate the quantity of demand side management in winter season using time series.

The Performance of Time Series Models to Forecast Short-Term Electricity Demand

  • Park, W.G.;Kim, S.
    • Communications for Statistical Applications and Methods
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    • v.19 no.6
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    • pp.869-876
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    • 2012
  • In this paper, we applied seasonal time series models such as ARIMA, FARIMA, AR-GARCH and Holt-Winters in consideration of seasonality to forecast short-term electricity demand data. The results for performance evaluation on the time series models show that seasonal FARIMA and seasonal Holt-Winters models perform adequately under the criterion of Mean Absolute Percentage Error(MAPE).

A Time Series Analysis on Urban Weather Conditions for Constructing Urban Integrated Energy System (차세대에너지시스템 구축을 위한 도시기상조건 시계열분석)

  • Kim, Sang-Ok;Han, Kyung-Min;Yee, Jurng-Jae;Yoon, Seong-Hwan
    • 한국태양에너지학회:학술대회논문집
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    • 2009.11a
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    • pp.26-31
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    • 2009
  • This study was analysed influence of urban higher temperature in Busan about time series analysis of AWS data. The results are as follows. (1) The temperature of Busan show min $13.2^{\circ}C$ ~max $15.8^{\circ}C$ by 50 years, it is on the rise. (2) The seasonal adjustment series, summer appeared min $17.5^{\circ}C$ ~max $28.9^{\circ}C$ with primitive series similarly. The winter was min $-11.4^{\circ}C$ ~max $17.9^{\circ}C$, the minimum temperature was more lowly than primitive series and maximum temperature was more higher than primitive series. The results, seasonal adjustment series is guessed with influence difference urban structural element beside seasonal factor. (3) Regional analytical result, January appeared with range of min 28% ~max 196% of the seasonal factor and August appeared min 90% ~ max 106%. One of the case which is of 100% or more of the seasonal factor January 12nd~17th, August appears at the 15~17th.

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