5 citations · 23 across the 28 of their papers we have counts for
35 papers
Parameter Estimation for the Mixed Fractional Merton Jump Diffusion Model with EM Algorithm
Chidiogo Joy Agboeke, Hamidreza Maleki Almani, Dario Gasbarra +2
This paper proposes an Expectation--Maximization algorithm with Metropolis--Hastings sampling for parameter estimation in a Mixed Fractional Merton Jump Diffusion model. The model…
Walk-on-Cubes Monte Carlo Simulation for nonisotropic fractional Laplace, Helmholtz, and Yukawa equations
Antti Rasila, Tommi Sottinen, Yaotong Yuan
We study the nonisotropic fractional analogs of Laplace, Helmholtz and Yukawa equations. We provide a Duffin correspondence for the Yukawa equation and a Feynman--Kac reconstructio…
Data driven modeling of multiple interest rates with generalized Vasicek-type models
Pauliina Ilmonen, Milla Laurikkala, Kostiantyn Ralchenko +2
The Vasicek model is a commonly used interest rate model, and there exist many extensions and generalizations of it. However, most generalizations of the model are either univariat…
Tanaka formula for SDEs driven by fractional Brownian motion
Tommi Sottinen, Ercan Sönmez, Lauri Viitasaari
We derive a Tanaka-type formula for the solution of a stochastic differential equation (SDE) driven by fractional Brownian motion (fBm) with Hurst parameter . Whil…
Hedging in Jump Diffusion Model with Transaction Costs
Hamidreza Maleki Almani, Foad Shokrollahi, Tommi Sottinen
We consider the jump-diffusion risky asset model and study its conditional prediction laws. Next, we explain the conditional least square hedging strategy and calculate its closed…
Discretization of integrals driven by multifractional Brownian motions with discontinuous integrands
Kostiantyn Ralchenko, Foad Shokrollahi, Tommi Sottinen
We establish the rate of convergence in the -norm for equidistant approximations of stochastic integrals with discontinuous integrands driven by multifractional Brownian motio…