Trueck, Stefan and Weron, Rafal and Wolff, Rodney (2007): Outlier Treatment and Robust Approaches for Modeling Electricity Spot Prices.
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We investigate the effects of outlier treatment on the estimation of the seasonal component and stochastic models in electricity markets. Typically, electricity spot prices exhibit features like seasonality, mean-reverting behavior, extreme volatility and the occurrence of jumps and spikes. Hence, an important issue in the estimation of stochastic models for electricity spot prices is the estimation of a component to deal with trends and seasonality in the data. Unfortunately, in regression analysis, classical estimation routines like OLS are very sensitive to extreme observations and outliers. Improved robustness of the model can be achieved by (a) cleaning the data with some reasonable procedure for outlier rejection, and then (b) using classical estimation and testing procedures on the remainder of the data. We examine the effects on model estimation for different treatment of extreme observations in particular on determining the number of outliers and descriptive statistics of the remaining series after replacement of the outliers. Our findings point out the substantial impact the treatment of extreme observations may have on these issues.
|Item Type:||MPRA Paper|
|Institution:||Hugo Steinhaus Center, Wroclaw University of Technology|
|Original Title:||Outlier Treatment and Robust Approaches for Modeling Electricity Spot Prices|
|Keywords:||Electricity; price modeling; seasonal decomposition; price spike|
|Subjects:||Q - Agricultural and Natural Resource Economics; Environmental and Ecological Economics > Q4 - Energy > Q40 - General
C - Mathematical and Quantitative Methods > C2 - Single Equation Models; Single Variables
C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation
|Depositing User:||Rafal Weron|
|Date Deposited:||05. Sep 2007|
|Last Modified:||14. Feb 2013 01:44|
Bhanot, K., 2000. Behavior of power prices: Implications for the valuation and hedging of financial contracts. Journal of Risk 2, 43–62. Bierbrauer, M., Menn, C., Rachev, S., Trueck, S., 2007. Spot and derivative pricing in the eex power market. Journal of Banking and Finance, forthcoming. Bierbrauer, M., Trueck, S., Weron, R., 2004. Modeling electricity prices with regime switching models. Lecture Notes in Computer Science 3039, 859–867. Borovkova, S., Permana, F., 2004. Modelling electricity prices by the potential jump-diffusion. Proceedings of the Stochastic Finance 2004 Conference, Lisbon, Portugal. Brockwell, P., Davis, R., 1991. Time Series: Theory and Methods. Springer-Verlag, New York. Bunn, D. (Ed.), 2004. Modelling Prices in Competitive Electricity Markets. Wiley, Chichester. Cartea, A., Figueroa, M., 2005. Pricing in electricity markets: A mean reverting jump diffusion model with seasonality. Applied Mathematical Finance 12(4), 313–335. Clewlow, L., Strickland, C., 2000. Energy Derivatives – Pricing and Risk Management. Lacima Publications, London. De Jong, C., 2006. The nature of power spikes: A regime-switch approach. Studies in Nonlinear Dynamics & Econometrics 10(3), Article 3. Geman, H., Roncoroni, A., 2006. Understanding the fine structure of electricity prices. Journal of Business 79(3), 1225–1262. Haerdle, W., Kerkyacharian, G., Picard, D., Tsybakov, A. (Eds.), 1998. Wavelets, Approximation and Statistical Applications. Lecture Notes in Statistics 129. Springer-Verlag, New York. Harris, C., 2006. Electricity Markets: Pricing, Structures and Economics. Wiley, Chichester. Huisman, R., Mahieu, R., 2003. Regime jumps in electricity prices. Working paper, Rotterdam School of Management. Kaminski, V. (Ed.), 2004. Managing Energy Price Risk: The New Challenges and Solutions, 3rd ed. Risk Books, London. Kirschen, D., Strbac, G., 2004. Fundamentals of Power System Economics. Wiley, Chichester. Knittel, C. R., Roberts, M. R., 2005. An empirical examination of restructured electricity prices. Energy Economics 27(5), 791–817. Lapuerta, C., Moselle, B., 2001. Recommendations for the Dutch electricity market. The Brattle Group Report. Lucia, J. J., Schwartz, E., 2002. Electricity prices and power derivatives: Evidence from the Nordic power exchange. Review of Derivatives Research 5, 5–50. Percival, D., Walden, A., 2000. Wavelet Methods for Time Series Analysis. Cambridge University Press, Cambridge. Pilipovic, D., 1997. Energy Risk: Valuing and Managing Energy Derivatives. McGraw-Hill. Shahidehpour, M., Yamin, H., Li, Z., 2002. Market Operations in Electric Power Systems: Forecasting, Scheduling, and Risk Management. Wiley. Stevenson, M., 2001. Filtering and forecasting spot electricity prices in the increasingly deregulated Australian electricity market. QFRC Research Paper 63, University of Technology, Sydney. Weron, R., 2006. Modeling and Forecasting Electricity Loads and Prices: A Statistical Approach. Wiley, Chichester. Weron, R., 2007. Market price of risk implied by Asian-style electricity options and futures. Energy Economics (forthcoming), doi:10.1016/j.eneco.2007.05.004. Weron, R., Bierbrauer, M., Trueck, S., 2004a. Modeling electricity prices: Jump diffusion and regime switching. Physica A 336, 39–48. Weron, R., Simonsen, I., Wilman, P., 2004b. Modeling highly volatile and seasonal markets: Evidence from the Nord Pool electricity market. In: Takayasu, H. (Ed.), The Application of Econophysics. Springer, pp. 182–191, proceedings of the Second Nikkei Econophysics Symposium, Tokyo.