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Pathwise construction of affine processes

2014/12/25 by Gabrielli, Nicoletta, Teichmann, Josef
#60G99 #91B70 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1412.7837

Abstract

Based on the theory of multivariate time changes for Markov processes, we show how to identify affine processes as solutions of certain time change equations. The result is a strong version of a theorem presented by J. Kallsen (2006) which provides a representation in law of an affine process as a time-change transformation of a family of independent Lévy processes.

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