Finance and Economics Discussion Series (FEDS)
March 2000
On Identification of Continuous Time Stochastic Processes
Jeremy Berkowitz
Abstract:
In this note we delineate conditions under which continuous time stochastic processes can be identified from discrete data. The identification problem is approached in a novel way. The distribution of the observed stochastic process is expressed as the underlying true distribution, f, transformed by some operator, T. Using a generalization of the Taylor series expansion, the transformed function T f can often be expressed as a linear combination of the original function f. By combining the information across a large number of such transformations, the original measurable function of interest can be recovered.
Keywords: Identification, continuous
PDF: Full Paper
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