2002
DOI: 10.1016/s0165-1684(02)00318-3
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Modeling electricity loads in California: ARMA models with hyperbolic noise

Abstract: In this paper we address the issue of modeling electricity loads. After analyzing properties of the deseasonalized loads from the California power market we fit an ARMA(1,6) model to the data. The obtained residuals seem to be independent but with tails heavier than Gaussian. It turns out that the hyperbolic distribution provides an excellent fit.

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Cited by 114 publications
(62 citation statements)
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“…The largest differences occur during Christmas (December 24th-26th), but this can be improved by incorporating a holiday structure into the model. However, the prediction for the first 23 days in December is still much worse than the prediction obtained from a simple ARMA(3,3) model [17], i.e. the mean absolute deviation from the true values is 0.565 compared to 0.355 for the ARMA forecast.…”
Section: Modeling With Generalized Ornstein-uhlenbeck Type Processesmentioning
confidence: 71%
See 1 more Smart Citation
“…The largest differences occur during Christmas (December 24th-26th), but this can be improved by incorporating a holiday structure into the model. However, the prediction for the first 23 days in December is still much worse than the prediction obtained from a simple ARMA(3,3) model [17], i.e. the mean absolute deviation from the true values is 0.565 compared to 0.355 for the ARMA forecast.…”
Section: Modeling With Generalized Ornstein-uhlenbeck Type Processesmentioning
confidence: 71%
“…[6,16]) over discrete models, further research will be in the direction of discrete time series models which offer a much better fit to market data [17].…”
Section: Modeling With Generalized Ornstein-uhlenbeck Type Processesmentioning
confidence: 99%
“…Traditional statistical methods have the following disadvantages:  direct participation of analysts at their application;  complexity of calculations;  inadequate forecast accuracy;  the ability to apply only to a certain type of forecast;  sensitivity to input parameters [10,11]. Artificial neural networks are more preferable.…”
Section: Methodsmentioning
confidence: 99%
“…As a rule, the number of neurons in a hidden layer is determined experimentally. For this, it is necessary to put several experiments with different network configurations by the number of neurons in the hidden layer and compare the results of training [11][12][13].…”
Section: Methodsmentioning
confidence: 99%
“…Electricity forecast model is divided into two major categories: top-down and bottom-up [12]. The top-down forecast approach uses huge historical data and the most forecasting methods such as regression, time series, fuzzy logic, neural network, and expert system belong to [15]. On the other hand, the bottom-up approach involves developing engineering modules and using it to capture data at appliance level [16] [17].…”
Section: Introductionmentioning
confidence: 99%