3 papers
math.PR2026
An extension of Stein's method incorporating dependence
Aleksandar Balašev-Samarski, Abdol-Reza Mansouri
We extend Stein's method to include dependence with respect to an auxiliary random variable, for conditional laws for which Stein's characterizations do exist.
math.PR2026
An extension of Stein's method incorporating independence
Aleksandar Balašev-Samarski, Abdol-Reza Mansouri
We extend Stein's method to include independence with respect to an auxiliary random variable, for any law for which a Stein characterization does exist. This extends the current l…
math.PR2024
Stochastic Solutions for Hyperbolic PDE
Abdol-Reza Mansouri, Zachary Selk
The theory of stochastic representations of solutions to elliptic and parabolic PDE has been extensive. However, the theory for hyperbolic PDE is notably lacking. In this short not…