Abstract
Considering functional data and an associated binary response, a method based on the definition of special Random Multiplicative Cascades to simulate the underlying stochastic process is proposed. It will be considered a class S of stochastic processes whose realizations are real continuous piecewise linear functions with a constrain on the increment and the family R of all binary responses Y associated to a process X in S. Considering data from a continuous phenomenon evolving in a time interval [0, T] which can be simulated by a pair (X, Y) ∈ S × R, a prediction tool which would make it possible to predict Y at each point of [0, T] is introduced. An application to data from an industrial kneading process is considered.
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Acknowledgements
Thanks are due for their support to Food Science & Engineering Interdepartmental Center of University of Calabria and to L.I.P.A.C., Calabrian Laboratory of Food Process Engineering (Regione Calabria APQ-Ricerca Scientifica e Innovazione Tecnologica I atto integrativo, Azione 2 laboratori pubblici di ricerca mission oriented interfiliera).
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Costanzo, G.D., De Bartolo, S., Dell’Accio, F., Trombetta, G. (2010). Using Observed Functional Data to Simulate a Stochastic Process via a Random Multiplicative Cascade Model. In: Lechevallier, Y., Saporta, G. (eds) Proceedings of COMPSTAT'2010. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2604-3_44
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DOI: https://doi.org/10.1007/978-3-7908-2604-3_44
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