Generators of feller semigroups with coefficients depending on parameters and optimal estimators
Abstract
We consider the realization of the operator Lθ,au(x):= x2au″(x) + (ax2a-1 + θxa) u′(x), acting on C[O, +∞], for θ ε®, a ε®. We show that Lθ,a, with the so called Wentzell boundary conditions, generates a Feller semigroup for any θ ε ®, a ε ®. The problem of finding optimal estimators for the corresponding diffusion processes is also discussed, in connection with some models in financial mathematics. Here C[0, +∞] is the space of all real valued continuous functions on [0, +∞) which admit finite limit at +∞.
Publication Title
Discrete and Continuous Dynamical Systems - Series B
Recommended Citation
Goldstein, J., Mininni, R., & Romanelli, S. (2007). Generators of feller semigroups with coefficients depending on parameters and optimal estimators. Discrete and Continuous Dynamical Systems - Series B, 8 (2), 511-527. Retrieved from https://digitalcommons.memphis.edu/facpubs/4800
