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arxiv: 1412.7837 · v1 · pith:R4V23GTUnew · submitted 2014-12-25 · 🧮 math.PR

Pathwise construction of affine processes

classification 🧮 math.PR
keywords processesaffinetimecertainchangechangesconstructionequations
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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 L\'evy processes.

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