Sökning: "Boualem Djehiche"
Visar resultat 11 - 14 av 14 avhandlingar innehållade orden Boualem Djehiche.
11. Data driven modeling in the presence of time series structure: : Improved bounds and effective algorithms
Sammanfattning : This thesis consists of five appended papers devoted to modeling tasks where the desired models are learned from data sets with an underlying time series structure. We develop a statistical methodology for providing efficient estimators and analyzing their non-asymptotic behavior. LÄS MER
12. On Importance Sampling and Dependence Modeling
Sammanfattning : This thesis consists of four papers. In the first paper, Monte Carlo simulation for tail probabilities of heavy-tailed random walks is considered. Importance sampling algorithms are constructed by using mixtures of the original distribution with some other state-dependent distributions. LÄS MER
13. Some asymptotic results in dependence modelling
Sammanfattning : This thesis consists of two papers, both devoted to the study of asymptotics in dependence modelling. The first paper studies large deviation probabilities for a sum of dependent random variables, where the dependence stems from a few underlying random variables, so-called factors. LÄS MER
14. Optimal Stopping and Model Robustness in Mathematical Finance
Sammanfattning : Optimal stopping and mathematical finance are intimately connected since the value of an American option is given as the solution to an optimal stopping problem. Such a problem can be viewed as a game in which we are trying to maximize an expected reward. LÄS MER