Summary
We analyze the shares aggregated into the Dow Jones Industrial Average (DJIA) index in order to recognize groups of stocks sharing synchronous time evolutions. To this purpose, a pairwise version of the Chaotic Map Clustering algorithm is applied: a map is associated to each share and the correlation coefficients of the daily price series provide the coupling strengths among maps. A natural partition of the data arises by simulating a chaotic map dynamics. The detection of clusters of similar stocks can be exploited in portfolio optimization.
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References
Angelini L, De Carlo F, Marangi C, Pellicoro M, Stramaglia S (2000) Clustering data by inhomogeneous chaotic map lattices. Phys Rev Lett 85:554.
Basalto N, Bellotti R, De Carlo F, Facchi P, Pascazio S (2005) Clustering stock market companies via chaotic map synchronization. Physica A 345:196–206
Blatt M, Domany E, Wiseman S (1996) Super-paramagnetic clustering of data. Phys Rev Lett 76: 3251–3254
Fukunaga K (1990) Introduction to Statistical Pattern Recognition. Academic Press, San Diego
Kertesz J, Kullmann L, Mantegna RN (2000) Identification of Clusters of Companies in Stock Indices via Potts Super-Paramagnetic Transitions. Physica A 287:412–419
Manrubia SC, Mikhailov AS (1999) Mutual synchronization and clustering in randomly coupled chaotic dynamical networks. Phys Rev E 60:1579–1589
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© 2006 Springer-Verlag Tokyo
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Basalto, N., De Carlo, F. (2006). Clustering financial time series. In: Takayasu, H. (eds) Practical Fruits of Econophysics. Springer, Tokyo. https://doi.org/10.1007/4-431-28915-1_46
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DOI: https://doi.org/10.1007/4-431-28915-1_46
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-28914-2
Online ISBN: 978-4-431-28915-9
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