@PhdThesis{duepublico_mods_00034166, author = {Stephan, Anna}, title = {On an inverse problem of financial mathematics with error in the operator}, year = {2014}, month = {Apr}, day = {15}, keywords = {Kalibrierung; nichtlinear; schlecht gestellt; fehlerbehaftet; zuf{\"a}llig; Inverses Problem; stochastischen Markovmodell}, abstract = {This thesis adheres to study a calibration problem for the so-called Markovfunctional models (MFMs) from the statistical point of view. It is shown that at each step of the calibration procedure one has to solve a nonlinear inverse problem with an operator estimated in the previous step. We propose a novel regularisation method and verify the rate-of-convergence.}, url = {https://duepublico2.uni-due.de/receive/duepublico_mods_00034166}, file = {:https://duepublico2.uni-due.de/servlets/MCRFileNodeServlet/duepublico_derivate_00035633/Stephan_Diss.pdf:PDF}, language = {en} }