Título: Numerical schemes for G-Expectations
Autores: Dolinsky, Yan; ETH Zurich and Hebrew University of Jerusalem
Fecha: 2012-01-01
Publicador: Electronic journal of probability
Fuente:
Tipo: Peer-reviewed Article
Tema: $G$-expectations, volatility uncertainty, strong approximation theorems
60F15; 60G44; 91B24
Descripción: We consider a discrete time analog of $G$-expectations and we prove that in the case where the time step goes to zero the corresponding values converge to the original $G$-expectation. Furthermore we provide error estimates for the convergence rate. This paper is continuation of Dolinsky,  Nutz, and Soner (2012). Our main tool is a strong approximation theorem which we derive for general discrete time martingales.
Idioma: Inglés

Artículos similares:

Lévy Classes and Self-Normalization por Khoshnevisan, Davar; University of Utah
Time-Space Analysis of the Cluster-Formation in Interacting Diffusions por Fleischmann, Klaus; Weierstrass Institute for Applied Analysis and Stochastics,Greven, Andreas; Universitat Erlangen-Nurnberg
Hausdorff Dimension of Cut Points for Brownian Motion por Lawler, Gregory F.; Duke University and Cornell University
Conditional Moment Representations for Dependent Random Variables por Bryc, Wlodzimierz; University of Cincinnati
Eigenvalue Expansions for Brownian Motion with an Application to Occupation Times por Bass, Richard F.; University of Washington,Burdzy, Krzysztof; University of Washington
Almost Sure Exponential Stability of Neutral Differential Difference Equations with Damped Stochastic Perturbations por Liao, Xiao Xin; University of Strathclyde,Mao, Xuerong; University of Strathclyde
Random Discrete Distributions Derived from Self-Similar Random Sets por Pitman, Jim; University of California, Berkeley,Yor, Marc; Université Pierre et Marie Curie
Quantitative Bounds for Convergence Rates of Continuous Time Markov Processes por Roberts, Gareth O.; University of Cambridge,Rosenthal, Jeffrey S.; University of Toronto
10 
Metastability of the Three Dimensional Ising Model on a Torus at Very Low Temperatures por Ben Arous, Gérard; Ecole Normale Supérieure,Cerf, Raphaël; Université Paris Sud