Papers › State spaces of multifactor approximations of nonnegative Volterra processes

State spaces of multifactor approximations of nonnegative Volterra processes

23 Dec 2024arXiv:2412.17526links table onlyarchive 2025-07-28

Eduardo Abi Jaber, Christian Bayer, Simon Breneis

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We show that the state spaces of multifactor Markovian processes, coming from approximations of nonnegative Volterra processes, are given by explicit linear transformation of the nonnegative orthant. We demonstrate the usefulness of this result for applications, including simulation schemes and PDE methods for nonnegative Volterra processes.

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