• Title/Summary/Keyword: Autoregressive error model

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Estimating Automobile Insurance Premiums Based on Time Series Regression (시계열 회귀모형에 근거한 자동차 보험료 추정)

  • Kim, Yeong-Hwa;Park, Wonseo
    • The Korean Journal of Applied Statistics
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    • v.26 no.2
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    • pp.237-252
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    • 2013
  • An estimation model for premiums and components is essential to determine reasonable insurance premiums. In this study, we introduce diverse models for the estimation of property damage premiums(premium, depth and frequency) that include a regression model using a dummy variable, additive independent variable model, autoregressive error model, seasonal ARIMA model and intervention model. In addition, the actual property damage premium data was used to estimate the premium, depth and frequency for each model. The estimation results of the models are comparatively examined by comparing the RMSE(Root Mean Squared Errors) of estimates and actual data. Based on real data analysis, we found that the autoregressive error model showed the best performance.

Daily Maximum Electric Load Forecasting for the Next 4 Weeks for Power System Maintenance and Operation (전력계통 유지보수 및 운영을 위한 향후 4주의 일 최대 전력수요예측)

  • Jung, Hyun-Woo;Song, Kyung-Bin
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.11
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    • pp.1497-1502
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    • 2014
  • Electric load forecasting is essential for stable electric power supply, efficient operation and management of power systems, and safe operation of power generation systems. The results are utilized in generator preventive maintenance planning and the systemization of power reserve management. Development and improvement of electric load forecasting model is necessary for power system maintenance and operation. This paper proposes daily maximum electric load forecasting methods for the next 4 weeks with a seasonal autoregressive integrated moving average model and an exponential smoothing model. According to the results of forecasting of daily maximum electric load forecasting for the next 4 weeks of March, April, November 2010~2012 using the constructed forecasting models, the seasonal autoregressive integrated moving average model showed an average error rate of 6,66%, 5.26%, 3.61% respectively and the exponential smoothing model showed an average error rate of 3.82%, 4.07%, 3.59% respectively.

Testing the Randomness of the Coefficients In First Order Autoregressive Processes

  • Park, Sangwoo;Lee, Sangyeol;Sun Y. Hwang
    • Journal of the Korean Statistical Society
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    • v.27 no.2
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    • pp.189-195
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    • 1998
  • In this paper, we are concerned with the problem of testing the randomness of the coefficients in a first order autoregressive model. A consistent test based on prediction error is suggested. It is shown that under the null hypothesis, the test statistic is asymptotically normal.

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Prediction of the Number of Food Poisoning Occurrences by Microbes (원인균별 식중독 발생 건수 예측)

  • Yeo, In-Kwon
    • The Korean Journal of Applied Statistics
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    • v.26 no.6
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    • pp.923-932
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    • 2013
  • This paper proposes a method to predict the number of foodborne disease outbreaks by microbes. The weekly data of food poisoning occurrences by microbes in Korea contain many zero-valued observations and have dependency between outbreaks. In order to model both phenomena, the number of food poisonings is predicted by an autoregressive model and the probabilities of food poisoning occurrences by microbes (given the total of food poisonings) are estimated by the baseline category logit model. The predicted number of foodborne disease outbreaks by a microbe is obtained by multiplying the predicted number of foodborne disease outbreaks and the estimated probability of the food poisoning by the corresponding microbe. The mean squared error and the mean absolute value error are evaluated to compare the performances of the proposed method and the zero-inflated model.

Estimation for random coefficient autoregressive model (확률계수 자기회귀 모형의 추정)

  • Kim, Ju Sung;Lee, Sung Duck;Jo, Na Rae;Ham, In Suk
    • The Korean Journal of Applied Statistics
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    • v.29 no.1
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    • pp.257-266
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    • 2016
  • Random Coefficient Autoregressive models (RCA) have attracted increased interest due to the wide range of applications in biology, economics, meteorology and finance. We consider an RCA as an appropriate model for non-linear properties and better than an AR model for linear properties. We study the methods of RCA parameter estimation. Especially we proposed the special case that an random coefficient ${\phi}(t)$ has the initial value ${\phi}(0)$ in the RCA model. In practical study, we estimated the parameters and compared Prediction Error Sum of Squares (PRESS) criterion between AR and RCA using Korean Mumps data.

Weekly maximum power demand forecasting using model in consideration of temperature estimation (기온예상치를 고려한 모델에 의한 주간최대전력수요예측)

  • 고희석;이충식;김종달;최종규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.45 no.4
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    • pp.511-516
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    • 1996
  • In this paper, weekly maximum power demand forecasting method in consideration of temperature estimation using a time series model was presented. The method removing weekly, seasonal variations on the load and irregularities variation due to unknown factor was presented. The forecasting model that represent the relations between load and temperature which get a numeral expected temperature based on the past 30 years(1961~1990) temperature was constructed. Effect of holiday was removed by using a weekday change ratio, and irregularities variation was removed by using an autoregressive model. The results of load forecasting show the ability of the method in forecasting with good accuracy without suffering from the effect of seasons and holidays. Percentage error load forecasting of all seasons except summer was obtained below 2 percentage. (author). refs., figs., tabs.

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Remarks on correlated error tests

  • Kim, Tae Yoon;Ha, Jeongcheol
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.2
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    • pp.559-564
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    • 2016
  • The Durbin-Watson (DW) test in regression model and the Ljung-Box (LB) test in ARMA (autoregressive moving average) model are typical examples of correlated error tests. The DW test is used for detecting autocorrelation of errors using the residuals from a regression analysis. The LB test is used for specifying the correct ARMA model using the first some sample autocorrelations based on the residuals of a tted ARMA model. In this article, simulations with four data generating processes have been carried out to evaluate their performances as correlated error tests. Our simulations show that the DW test is severely dependent on the assumed AR(1) model but isn't sensitive enough to reject the misspecified model and that the LB test reports lackluster performance in general.

Analysis of Time Series Models for Ozone Concentration at Anyang City of Gyeonggi-Do in Korea (경기도 안양시 오존농도의 시계열모형 연구)

  • Lee, Hoon-Ja
    • Journal of Korean Society for Atmospheric Environment
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    • v.24 no.5
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    • pp.604-612
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    • 2008
  • The ozone concentration is one of the important environmental issue for measurement of the atmospheric condition of the country. This study focuses on applying the Autoregressive Error (ARE) model for analyzing the ozone data at middle part of the Gyeonggi-Do, Anyang monitoring site in Korea. In the ARE model, eight meteorological variables and four pollution variables are used as the explanatory variables. The eight meteorological variables are daily maximum temperature, wind speed, amount of cloud, global radiation, relative humidity, rainfall, dew point temperature, and water vapor pressure. The four air pollution variables are sulfur dioxide $(SO_2)$, nitrogen dioxide $(NO_2)$, carbon monoxide (CO), and particulate matter 10 (PM10). The result shows that ARE models both overall and monthly data are suited for describing the oBone concentration. In the ARE model for overall ozone data, ozone concentration can be explained about 71% to by the PM10, global radiation and wind speed. Also the four types of ARE models for high level of ozone data (over 80 ppb) have been analyzed. In the best ARE model for high level of ozone data, ozone can be explained about 96% by the PM10, daliy maximum temperature, and cloud amount.