Occupation times of the Ornstein–Uhlenbeck process: Functional PCA and evidence from electricity prices

Martin Densing

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 23, 5818-5826

Abstract: We discuss the functional principal component analysis (FPCA) of the occupation times of the Ornstein–Uhlenbeck process. For the eigenvalue problem of the covariance operator of the occupation times we derive the corresponding integral equation in the large time limit and we solve numerically for the principal components. The formulation applies the path-integral approach of Feynman and Kac. The principal components are compared with those from empirical electricity price processes on energy markets. The results indicate that FPCA of the occupation times is a suitable tool in stochastic energy modeling to generate moderately-sized scenario trees.

Keywords: Ornstein–Uhlenbeck process; Occupation time; Functional principal component analysis; Electricity price; PCA (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:23:p:5818-5826

DOI: 10.1016/j.physa.2012.07.040

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