Sökning: "Ito calculus"
Hittade 3 avhandlingar innehållade orden Ito calculus.
1. Some Extensions of Fractional Ornstein-Uhlenbeck Model : Arbitrage and Other Applications
Sammanfattning : This doctoral thesis endeavors to extend probability and statistical models using stochastic differential equations. The described models capture essential features from data that are not explained by classical diffusion models driven by Brownian motion.New results obtained by the author are presented in five articles. LÄS MER
2. Numerical Complexity Analysis of Weak Approximation of Stochastic Differential Equations
Sammanfattning : The thesis consists of four papers on numerical complexityanalysis of weak approximation of ordinary and partialstochastic differential equations, including illustrativenumerical examples. Here by numerical complexity we mean thecomputational work needed by a numerical method to solve aproblem with a given accuracy. LÄS MER
3. A class of infinite dimensional stochastic processes with unbounded diffusion and its associated Dirichlet forms
Sammanfattning : This thesis consists of two papers which focuses on a particular diffusion type Dirichlet form where Here is the basis in the Cameron-Martin space, H, consisting of the Schauder functions, and ν denotes the Wiener measure.In Paper I, we let vary over the space of wiener trajectories in a way that the diffusion operator A is almost everywhere an unbounded operator on the Cameron–Martin space. LÄS MER