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math.PR2020
On non-negative solutions of SDDEs with an application to CARMA processes
Mikkel Slot Nielsen, Victor Rohde
This note provides a simple sufficient condition ensuring that solutions of stochastic delay differential equations (SDDEs) driven by subordinators are non-negative. While, to the…
math.PR2018
Stochastic differential equations with a fractionally filtered delay: a semimartingale model for long-range dependent processes
Richard A. Davis, Mikkel Slot Nielsen, Victor Rohde
In this paper we introduce a model, the stochastic fractional delay differential equation (SFDDE), which is based on the linear stochastic delay differential equation and produces…
math.PR2017
On infinite divisibility of a class of two-dimensional vectors in the second Wiener chaos
Andreas Basse-O'Connor, Jan Pedersen, Victor Rohde
Infinite divisibility of a class of two-dimensional vectors with components in the second Wiener chaos is studied. Necessary and sufficient conditions for infinite divisibility is…