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Clustering of discretely observed diffusion processes

Alessandro De Gregorio and Stefano Iacus ()

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Abstract: In this paper a new dissimilarity measure to identify groups of assets dynamics is proposed. The underlying generating process is assumed to be a diffusion process solution of stochastic differential equations and observed at discrete time. The mesh of observations is not required to shrink to zero. As distance between two observed paths, the quadratic distance of the corresponding estimated Markov operators is considered. Analysis of both synthetic data and real financial data from NYSE/NASDAQ stocks, give evidence that this distance seems capable to catch differences in both the drift and diffusion coefficients contrary to other commonly used metrics.

Date: 2008-09
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http://arxiv.org/pdf/0809.3902 Latest version (application/pdf)

Related works:
Journal Article: Clustering of discretely observed diffusion processes (2010) Downloads
Working Paper: Clustering of discretely observed diffusion processes (2008) Downloads
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