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math.PR2023
Transfer principle for fractional Ornstein-Uhlenbeck processes
Tommi Sottinen, Lauri Viitasaari
We prove the transfer principle for fractional Ornstein-Uhlenbeck processes, i.e., we construct a Brownian motion that has the same filtration as the fractional Ornstein-Uhlenbeck…
math.PR2023
Prediction of Gaussian Volterra Processes with Compound Poisson Jumps
Hamidreza Maleki Almani, Foad Shokrollahi, Tommi Sottinen
We consider a Gaussian Volterra process with compound Poisson jumps and derive its prediction law.